models.ps
上传用户:rrhhcc
上传日期:2015-12-11
资源大小:54129k
文件大小:131k
源码类别:

通讯编程

开发平台:

Visual C++

  1. %!PS-Adobe-2.0
  2. %%Creator: dvipsk 5.526a Copyright 1986, 1993 Radical Eye Software
  3. %%Title: models.dvi
  4. %%Pages: 6
  5. %%PageOrder: Ascend
  6. %%BoundingBox: 0 0 612 792
  7. %%EndComments
  8. %DVIPSCommandLine: dvips -o ../models.ps models
  9. %DVIPSParameters: dpi=300, comments removed
  10. %DVIPSSource:  TeX output 1996.07.01:1145
  11. %%BeginProcSet: tex.pro
  12. /TeXDict 250 dict def TeXDict begin /N{def}def /B{bind def}N /S{exch}N
  13. /X{S N}B /TR{translate}N /isls false N /vsize 11 72 mul N /hsize 8.5 72
  14. mul N /landplus90{false}def /@rigin{isls{[0 landplus90{1 -1}{-1 1}
  15. ifelse 0 0 0]concat}if 72 Resolution div 72 VResolution div neg scale
  16. isls{landplus90{VResolution 72 div vsize mul 0 exch}{Resolution -72 div
  17. hsize mul 0}ifelse TR}if Resolution VResolution vsize -72 div 1 add mul
  18. TR matrix currentmatrix dup dup 4 get round 4 exch put dup dup 5 get
  19. round 5 exch put setmatrix}N /@landscape{/isls true N}B /@manualfeed{
  20. statusdict /manualfeed true put}B /@copies{/#copies X}B /FMat[1 0 0 -1 0
  21. 0]N /FBB[0 0 0 0]N /nn 0 N /IE 0 N /ctr 0 N /df-tail{/nn 8 dict N nn
  22. begin /FontType 3 N /FontMatrix fntrx N /FontBBox FBB N string /base X
  23. array /BitMaps X /BuildChar{CharBuilder}N /Encoding IE N end dup{/foo
  24. setfont}2 array copy cvx N load 0 nn put /ctr 0 N[}B /df{/sf 1 N /fntrx
  25. FMat N df-tail}B /dfs{div /sf X /fntrx[sf 0 0 sf neg 0 0]N df-tail}B /E{
  26. pop nn dup definefont setfont}B /ch-width{ch-data dup length 5 sub get}
  27. B /ch-height{ch-data dup length 4 sub get}B /ch-xoff{128 ch-data dup
  28. length 3 sub get sub}B /ch-yoff{ch-data dup length 2 sub get 127 sub}B
  29. /ch-dx{ch-data dup length 1 sub get}B /ch-image{ch-data dup type
  30. /stringtype ne{ctr get /ctr ctr 1 add N}if}B /id 0 N /rw 0 N /rc 0 N /gp
  31. 0 N /cp 0 N /G 0 N /sf 0 N /CharBuilder{save 3 1 roll S dup /base get 2
  32. index get S /BitMaps get S get /ch-data X pop /ctr 0 N ch-dx 0 ch-xoff
  33. ch-yoff ch-height sub ch-xoff ch-width add ch-yoff setcachedevice
  34. ch-width ch-height true[1 0 0 -1 -.1 ch-xoff sub ch-yoff .1 add]{
  35. ch-image}imagemask restore}B /D{/cc X dup type /stringtype ne{]}if nn
  36. /base get cc ctr put nn /BitMaps get S ctr S sf 1 ne{dup dup length 1
  37. sub dup 2 index S get sf div put}if put /ctr ctr 1 add N}B /I{cc 1 add D
  38. }B /bop{userdict /bop-hook known{bop-hook}if /SI save N @rigin 0 0
  39. moveto /V matrix currentmatrix dup 1 get dup mul exch 0 get dup mul add
  40. .99 lt{/QV}{/RV}ifelse load def pop pop}N /eop{SI restore showpage
  41. userdict /eop-hook known{eop-hook}if}N /@start{userdict /start-hook
  42. known{start-hook}if pop /VResolution X /Resolution X 1000 div /DVImag X
  43. /IE 256 array N 0 1 255{IE S 1 string dup 0 3 index put cvn put}for
  44. 65781.76 div /vsize X 65781.76 div /hsize X}N /p{show}N /RMat[1 0 0 -1 0
  45. 0]N /BDot 260 string N /rulex 0 N /ruley 0 N /v{/ruley X /rulex X V}B /V
  46. {}B /RV statusdict begin /product where{pop product dup length 7 ge{0 7
  47. getinterval dup(Display)eq exch 0 4 getinterval(NeXT)eq or}{pop false}
  48. ifelse}{false}ifelse end{{gsave TR -.1 -.1 TR 1 1 scale rulex ruley
  49. false RMat{BDot}imagemask grestore}}{{gsave TR -.1 -.1 TR rulex ruley
  50. scale 1 1 false RMat{BDot}imagemask grestore}}ifelse B /QV{gsave
  51. transform round exch round exch itransform moveto rulex 0 rlineto 0
  52. ruley neg rlineto rulex neg 0 rlineto fill grestore}B /a{moveto}B /delta
  53. 0 N /tail{dup /delta X 0 rmoveto}B /M{S p delta add tail}B /b{S p tail}
  54. B /c{-4 M}B /d{-3 M}B /e{-2 M}B /f{-1 M}B /g{0 M}B /h{1 M}B /i{2 M}B /j{
  55. 3 M}B /k{4 M}B /w{0 rmoveto}B /l{p -4 w}B /m{p -3 w}B /n{p -2 w}B /o{p
  56. -1 w}B /q{p 1 w}B /r{p 2 w}B /s{p 3 w}B /t{p 4 w}B /x{0 S rmoveto}B /y{
  57. 3 2 roll p a}B /bos{/SS save N}B /eos{SS restore}B end
  58. %%EndProcSet
  59. %%BeginProcSet: special.pro
  60. TeXDict begin /SDict 200 dict N SDict begin /@SpecialDefaults{/hs 612 N
  61. /vs 792 N /ho 0 N /vo 0 N /hsc 1 N /vsc 1 N /ang 0 N /CLIP 0 N /rwiSeen
  62. false N /rhiSeen false N /letter{}N /note{}N /a4{}N /legal{}N}B
  63. /@scaleunit 100 N /@hscale{@scaleunit div /hsc X}B /@vscale{@scaleunit
  64. div /vsc X}B /@hsize{/hs X /CLIP 1 N}B /@vsize{/vs X /CLIP 1 N}B /@clip{
  65. /CLIP 2 N}B /@hoffset{/ho X}B /@voffset{/vo X}B /@angle{/ang X}B /@rwi{
  66. 10 div /rwi X /rwiSeen true N}B /@rhi{10 div /rhi X /rhiSeen true N}B
  67. /@llx{/llx X}B /@lly{/lly X}B /@urx{/urx X}B /@ury{/ury X}B /magscale
  68. true def end /@MacSetUp{userdict /md known{userdict /md get type
  69. /dicttype eq{userdict begin md length 10 add md maxlength ge{/md md dup
  70. length 20 add dict copy def}if end md begin /letter{}N /note{}N /legal{}
  71. N /od{txpose 1 0 mtx defaultmatrix dtransform S atan/pa X newpath
  72. clippath mark{transform{itransform moveto}}{transform{itransform lineto}
  73. }{6 -2 roll transform 6 -2 roll transform 6 -2 roll transform{
  74. itransform 6 2 roll itransform 6 2 roll itransform 6 2 roll curveto}}{{
  75. closepath}}pathforall newpath counttomark array astore /gc xdf pop ct 39
  76. 0 put 10 fz 0 fs 2 F/|______Courier fnt invertflag{PaintBlack}if}N
  77. /txpose{pxs pys scale ppr aload pop por{noflips{pop S neg S TR pop 1 -1
  78. scale}if xflip yflip and{pop S neg S TR 180 rotate 1 -1 scale ppr 3 get
  79. ppr 1 get neg sub neg ppr 2 get ppr 0 get neg sub neg TR}if xflip yflip
  80. not and{pop S neg S TR pop 180 rotate ppr 3 get ppr 1 get neg sub neg 0
  81. TR}if yflip xflip not and{ppr 1 get neg ppr 0 get neg TR}if}{noflips{TR
  82. pop pop 270 rotate 1 -1 scale}if xflip yflip and{TR pop pop 90 rotate 1
  83. -1 scale ppr 3 get ppr 1 get neg sub neg ppr 2 get ppr 0 get neg sub neg
  84. TR}if xflip yflip not and{TR pop pop 90 rotate ppr 3 get ppr 1 get neg
  85. sub neg 0 TR}if yflip xflip not and{TR pop pop 270 rotate ppr 2 get ppr
  86. 0 get neg sub neg 0 S TR}if}ifelse scaleby96{ppr aload pop 4 -1 roll add
  87. 2 div 3 1 roll add 2 div 2 copy TR .96 dup scale neg S neg S TR}if}N /cp
  88. {pop pop showpage pm restore}N end}if}if}N /normalscale{Resolution 72
  89. div VResolution 72 div neg scale magscale{DVImag dup scale}if 0 setgray}
  90. N /psfts{S 65781.76 div N}N /startTexFig{/psf$SavedState save N userdict
  91. maxlength dict begin /magscale false def normalscale currentpoint TR
  92. /psf$ury psfts /psf$urx psfts /psf$lly psfts /psf$llx psfts /psf$y psfts
  93. /psf$x psfts currentpoint /psf$cy X /psf$cx X /psf$sx psf$x psf$urx
  94. psf$llx sub div N /psf$sy psf$y psf$ury psf$lly sub div N psf$sx psf$sy
  95. scale psf$cx psf$sx div psf$llx sub psf$cy psf$sy div psf$ury sub TR
  96. /showpage{}N /erasepage{}N /copypage{}N /p 3 def @MacSetUp}N /doclip{
  97. psf$llx psf$lly psf$urx psf$ury currentpoint 6 2 roll newpath 4 copy 4 2
  98. roll moveto 6 -1 roll S lineto S lineto S lineto closepath clip newpath
  99. moveto}N /endTexFig{end psf$SavedState restore}N /@beginspecial{SDict
  100. begin /SpecialSave save N gsave normalscale currentpoint TR
  101. @SpecialDefaults count /ocount X /dcount countdictstack N}N /@setspecial
  102. {CLIP 1 eq{newpath 0 0 moveto hs 0 rlineto 0 vs rlineto hs neg 0 rlineto
  103. closepath clip}if ho vo TR hsc vsc scale ang rotate rwiSeen{rwi urx llx
  104. sub div rhiSeen{rhi ury lly sub div}{dup}ifelse scale llx neg lly neg TR
  105. }{rhiSeen{rhi ury lly sub div dup scale llx neg lly neg TR}if}ifelse
  106. CLIP 2 eq{newpath llx lly moveto urx lly lineto urx ury lineto llx ury
  107. lineto closepath clip}if /showpage{}N /erasepage{}N /copypage{}N newpath
  108. }N /@endspecial{count ocount sub{pop}repeat countdictstack dcount sub{
  109. end}repeat grestore SpecialSave restore end}N /@defspecial{SDict begin}
  110. N /@fedspecial{end}B /li{lineto}B /rl{rlineto}B /rc{rcurveto}B /np{
  111. /SaveX currentpoint /SaveY X N 1 setlinecap newpath}N /st{stroke SaveX
  112. SaveY moveto}N /fil{fill SaveX SaveY moveto}N /ellipse{/endangle X
  113. /startangle X /yrad X /xrad X /savematrix matrix currentmatrix N TR xrad
  114. yrad scale 0 0 1 startangle endangle arc savematrix setmatrix}N end
  115. %%EndProcSet
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  741. %%EndProlog
  742. %%BeginSetup
  743. %%Feature: *Resolution 300dpi
  744. TeXDict begin
  745. %%EndSetup
  746. %%Page: 1 1
  747. 1 0 bop 30 311 a Fl(Mo)r(dels)30 414 y Fk(Fiv)n(e)18
  748. b(Fla)n(v)n(ors)h(of)g(Flat)g(Random)e(Graphs)30 500
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  750. o(y)g(of)g(15at)g((i.e.,)g(non-hierarc)o(hical))i(random)d(graphs)
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  752. (v)m(ariations)h(on)f(the)g(standard)g(random)g(graph)g(mo)q(del)h
  753. (that)30 613 y(distributes)g(v)o(ertices)e(at)g(random)g(lo)q(cations)h
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  756. (pair)h(of)f(v)o(ertices)g(with)h(probabilit)o(y)h Fi(13)p
  757. Fj(.)38 b(W)l(e)21 b(call)i(this)e(the)h(Pure)30 726
  758. y(Random)g(mo)q(del)g(or)f(simply)i(the)f(Random)f(mo)q(del.)40
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  766. (of)e(an)h(edge,)h(in)f(an)g(attempt)f(to)h(b)q(etter)g(re15ect)g
  767. (real)g(net)o(w)o(ork)30 1008 y(structure.)19 b(After)14
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  769. (random)g(graph)g(mo)q(del)30 1065 y(is)i(one)f(prop)q(osed)h(b)o(y)f
  770. (W)l(axman)f([2],)g(with)i(the)f(probabilit)o(y)h(of)f(an)g(edge)h
  771. (from)e Fi(u)h Fj(to)g Fi(v)i Fj(giv)o(en)f(b)o(y:)735
  772. 1160 y Fi(P)6 b Fj(()p Fi(u;)i(v)r Fj())j(=)i Fi(13e)986
  773. 1142 y Fh(00)p Fg(d=)p Ff(()p Fg(14)r(L)p Ff())30
  774. 1256 y Fj(where)19 b(0)e Fi(<)i(13;)8 b(14)19 b Fe(24)g
  775. Fj(1,)f Fi(d)g Fj(is)h(the)g(Euclidean)h(distance)g(from)d
  776. Fi(u)i Fj(to)e Fi(v)j Fj(and)f Fi(L)f Fj(=)1478 1218
  777. y Fe(p)p 1516 1218 23 2 v 38 x Fj(2)12 b Fe(02)h Fi(scal)q(e)18
  778. b Fj(is)h(the)30 1312 y(maxim)o(um)e(distance)i(b)q(et)o(w)o(een)e(an)o
  779. (y)g(t)o(w)o(o)g(no)q(des.)27 b(An)17 b(increase)i(in)f
  780. Fi(13)g Fj(will)h(increase)f(the)g(n)o(um)o(b)q(er)f(of)30
  781. 1369 y(edges)h(in)g(the)f(graph,)g(while)i(an)e(increase)i(in)f
  782. Fi(14)h Fj(will)g(increase)f(the)g(ratio)f(of)g(long)g(edges)h
  783. (relativ)o(e)g(to)30 1425 y(shorter)d(edges.)20 b(W)l(e)15
  784. b(call)h(this)g(the)f(W)l(axman)g(1)g(mo)q(del.)101 1482
  785. y(Sev)o(eral)g(v)m(ariations)h(on)f(the)g(W)l(axman)g(mo)q(del)h(ha)o
  786. (v)o(e)f(b)q(een)h(prop)q(osed.)21 b(They)15 b(include:)98
  787. 1570 y Fe(17)23 b Fj(Replacing)c Fi(d)d Fj(b)o(y)h(a)g(random)g(n)o
  788. (um)o(b)q(er)g(b)q(et)o(w)o(een)h(0)e(and)h Fi(L)g Fj([2].)25
  789. b(W)l(e)17 b(call)h(this)g(the)f(W)l(axman)f(2)144 1626
  790. y(mo)q(del.)98 1718 y Fe(17)23 b Fj(Scaling)16 b Fi(P)6
  791. b Fj(()p Fi(u;)i(v)r Fj())14 b(b)o(y)h(a)g(factor)f
  792. Fi(k)q(17=n)p Fj(,)h(where)h Fi(17)f Fj(is)h(the)f(desired)i(a)o(v)
  793. o(erage)d(no)q(de)i(degree,)f Fi(n)g Fj(is)h(the)144
  794. 1775 y(n)o(um)o(b)q(er)f(of)g(no)q(des)h(and)f Fi(k)h
  795. Fj(is)g(a)f(constan)o(t)f(that)h(dep)q(ends)i(on)e Fi(13)g
  796. Fj(and)g Fi(14)j Fj([1)o(].)98 1866 y Fe(17)23 b
  797. Fj(Allo)o(wing)16 b Fi(13)d(>)g Fj(1)p Fi(:)p Fj(0)h([3)o(].)30
  798. 1955 y(The)e(second)g(mo)q(del,)g(while)h(not)f(fundamen)o(tally)g
  799. (di13eren)o(t)g(than)f(the)h(W)l(axman)f(mo)q(del,)h(is)g(in)o
  800. (teresting)30 2011 y(b)q(ecause)j(the)e(addition)i(of)e(the)h(factor)e
  801. Fi(r)q(adius)g Fj(=)h Fi(k)q(17)i Fj(giv)o(es)e(more)g(direct)i(con)o
  802. (trol)e(o)o(v)o(er)g(the)g(n)o(um)o(b)q(er)h(of)30 2067
  803. y(edges)f(in)g(the)g(graphs)f(that)f(are)i(generated,)f(pro)o(vided)i
  804. Fi(k)f Fj(is)g(kno)o(wn.)19 b(Clearly)13 b(the)f Fi(13)h
  805. Fj(parameter)f(of)g(the)30 2124 y(W)l(axman)j(mo)q(del)h(can)f(b)q(e)h
  806. (c)o(hosen)f(to)g(b)q(e)h(equiv)m(alen)o(t)g(to)f(an)o(y)g(particular)h
  807. (setting)f(of)g(the)g(parameters)30 2180 y Fi(k)q(;)8
  808. b(17;)g(n)14 b Fj(and)i Fi(13)f Fj(in)h(the)f(Doar-Leslie)i(mo)q
  809. (del.)101 2237 y(W)l(e)11 b(also)g(prop)q(ose)h(t)o(w)o(o)e(new)h(mo)q
  810. (dels,)i(in)o(tended)f(to)f(relate)h(edge)f(probabilit)o(y)i(to)e
  811. (distance)h(b)q(et)o(w)o(een)30 2293 y(v)o(ertices)18
  812. b((as)f(in)i(the)e(W)l(axman)g(mo)q(del),)i(but)f(with)g(more)f
  813. (straigh)o(tforw)o(ard)f(probabilit)o(y)j(functions.)30
  814. 2350 y(Our)d(Exp)q(onen)o(tial)g(mo)q(del)g(uses:)717
  815. 2406 y Fi(P)6 b Fj(()p Fi(u;)i(v)r Fj())j(=)i Fi(13e)968
  816. 2387 y Fh(00)p Fg(d=)p Ff(()p Fg(L)p Fh(00)p Fg(d)p
  817. Ff())1131 2406 y Fi(:)30 2486 y Fj(The)h(probabilit)o(y)h(of)e(an)h
  818. (edge)g(in)h(this)f(mo)q(del)h(decreases)f(exp)q(onen)o(tially)i(with)e
  819. (the)g(distance)h(b)q(et)o(w)o(een)30 2543 y(the)20 b(t)o(w)o(o)e(v)o
  820. (ertices.)33 b(Our)20 b(Lo)q(calit)o(y)h(mo)q(del)f(partitions)g(the)g
  821. (edges)f(in)o(to)h(discrete)g(categories)g(based)30 2599
  822. y(length,)d(and)g(assigns)g(a)f(di13eren)o(t)h(edge)f(probabilit)o(y)
  823. i(for)e(eac)o(h)h(category)l(.)23 b(With)17 b(t)o(w)o(o)e(categories)h
  824. (w)o(e)30 2656 y(use)g(one)f(parameter)f Fi(r)q(adius)h
  825. Fj(to)f(de14ne)j(the)e(b)q(oundary:)582 2781 y Fi(P)6
  826. b Fj(()p Fi(u;)i(v)r Fj())j(=)783 2709 y Fd(()837
  827. 2753 y Fi(13)42 b Fj(if)16 b Fi(d)c(<)h(L)d Fe(02)g
  828. Fi(r)q(adius)837 2810 y(14)45 b Fj(if)16 b Fi(d)c Fe(25)h
  829. Fi(L)d Fe(02)g Fi(r)q(adius)919 2940 y Fj(1)p eop
  830. %%Page: 2 2
  831. 2 1 bop 532 317 796 2 v 531 374 2 57 v 557 357 a Fj(Mo)q(del)p
  832. 858 374 V 203 w(Edge)16 b(Probabilit)o(y)p 1327 374 V
  833. 532 375 796 2 v 532 385 V 531 442 2 57 v 557 425 a(Pure)f(Random)p
  834. 858 442 V 50 w Fi(13)p 1327 442 V 532 443 796 2 v 531
  835. 502 2 59 v 557 485 a Fj(W)l(axman)g(1)p 858 502 V 112
  836. w Fi(13e)933 468 y Fh(00)p Fg(d=)p Ff(()p Fg(14)r(L)p
  837. Ff())p 1327 502 V 532 503 796 2 v 531 562 2 59 v 557
  838. 545 a Fj(W)l(axman)g(2)p 858 562 V 112 w Fi(13e)933
  839. 528 y Fh(00)p Fg(r)q(and)p Ff((0)p Fg(;L)p Ff())p
  840. Fg(=)p Ff(()p Fg(14)r(L)p Ff())p 1327 562 V 532 563
  841. 796 2 v 531 622 2 59 v 557 605 a Fj(DoarLeslie)p 858
  842. 622 V 117 w Fi(13)p Fj(()p Fi(r)q(adius)p Fj())p
  843. Fi(=ne)1152 588 y Fh(00)p Fg(d=)p Ff(()p Fg(14)r(L)p
  844. Ff())p 1327 622 V 532 623 796 2 v 531 682 2 59 v 557
  845. 665 a Fj(Exp)q(onen)o(tial)p 858 682 V 88 w Fi(13e)933
  846. 648 y Fh(00)p Fg(d=)p Ff(()p Fg(L)p Fh(00)p Fg(d)p
  847. Ff())p 1327 682 V 532 683 796 2 v 531 740 2 57 v 557
  848. 723 a Fj(Lo)q(calit)o(y)p 858 740 V 166 w Fi(13)46
  849. b Fj(if)16 b Fi(d)c(<)h(L)d Fe(02)h Fi(r)q(adius)p
  850. 1327 740 V 531 796 V 858 796 V 883 779 a(14)48 b Fj(if)16
  851. b Fi(d)c Fe(25)h Fi(L)d Fe(02)g Fi(r)q(adius)p 1327
  852. 796 V 532 798 796 2 v 574 925 a Fj(T)l(able)16 b(1:)k(Flat)14
  853. b(random)h(graph)g(mo)q(dels)30 1062 y(One)k(nice)h(feature)e(of)g(the)
  854. h(Lo)q(calit)o(y)g(mo)q(del)g(is)g(that)f(w)o(e)g(ha)o(v)o(e)g(b)q(een)
  855. i(able)f(to)f(extend)h(man)o(y)f(of)g(the)30 1119 y(analytic)g(results)
  856. h(for)e((pure))g(random)h(graphs)f(to)g(this)h(mo)q(del.)28
  857. b(An)o(y)18 b(14nite)h(n)o(um)o(b)q(er)f(of)f(categories)30
  858. 1175 y(are)e(allo)o(w)o(ed,)g(giving)h(a)f(reasonable)h(amoun)o(t)e(of)
  859. h(con)o(trol)g(o)o(v)o(er)f(the)h(top)q(ologies)h(generated.)101
  860. 1232 y(T)l(o)k(summarize,)i(T)l(able)g(1)e(indicates)j(the)e
  861. (probabilit)o(y)h(of)e(an)h(edge)g(b)q(et)o(w)o(een)g(t)o(w)o(o)e(v)o
  862. (ertices)j(at)30 1288 y(Euclidean)17 b(distance)f Fi(d)f
  863. Fj(for)g(eac)o(h)g(mo)q(del)h(describ)q(ed)h(ab)q(o)o(v)o(e.)30
  864. 1410 y Fk(Hierarc)n(hical)g(Mo)r(dels)30 1496 y Fj(The)f(random)f(and)g
  865. (regular)h(mo)q(dels)g(represen)o(t)g(extremes)f(in)h(the)g(sense)g
  866. (that)e(random)h(mo)q(dels)i(o13er)30 1552 y(v)o(ery)h(little)h(con)o
  867. (trol)f(o)o(v)o(er)f(the)h(structure)g(of)g(the)g(resulting)h(top)q
  868. (ologies,)g(while)g(regular)f(mo)q(dels)h(are)30 1609
  869. y(extremely)h(rigid)h(in)g(their)f(structure.)34 b(Neither)20
  870. b(t)o(yp)q(e)g(of)g(mo)q(del)g(captures)g(the)g(hierarc)o(h)o(y)g(that)
  871. f(is)30 1665 y(presen)o(t)h(in)h(real)f(in)o(ternet)o(w)o(orks,)g
  872. (though)f(b)q(oth)h(ma)o(y)g(re15ect)g(some)f(notion)i(of)e(lo)q
  873. (calit)o(y)i(if)g(certain)30 1722 y(no)q(des)i(are)f(more)h(lik)o(ely)h
  874. (to)e(b)q(e)h(connected)h(than)e(others.)41 b(W)l(e)23
  875. b(no)o(w)f(describ)q(e)i(t)o(w)o(o)e(metho)q(ds)g(of)30
  876. 1778 y(creating)16 b(hierarc)o(hical)i(top)q(ologies)e(b)o(y)g
  877. (connecting)h(smaller)g(comp)q(onen)o(ts)f(together)f(according)i(to)e
  878. (a)30 1835 y(particular)h(structure.)30 1955 y Fc(N-Lev)o(el)30
  879. 2040 y Fj(The)k(N-lev)o(el)g(hierarc)o(hical)h(mo)q(del)g(constructs)d
  880. (a)h(top)q(ology)g(recursiv)o(ely)l(.)34 b(Beginning)21
  881. b(with)f(a)f(con-)30 2097 y(nected)e(graph,)g(at)f(eac)o(h)h(step)f(in)
  882. i(the)f(recursion,)g(eac)o(h)g(no)q(de)g(in)h(the)f(curren)o(t)f(top)q
  883. (ology)h(is)g(replaced)30 2153 y(b)o(y)d(a)f(connected)i(graph.)k(The)
  884. 14 b(edges)g(are)g(\resolv)o(ed")g(in)g(v)m(arious)h(w)o(a)o(ys)e
  885. ((e.g.,)f(b)o(y)i(selecting)h(no)q(des)g(at)30 2210
  886. y(random)g(in)h(the)f(replacemen)o(t)h(graphs).)101
  887. 2266 y(More)g(precisely)l(,)j(in)f(constructing)f(the)g(15at)f
  888. (random)h(graphs,)f(w)o(e)h(divide)i(the)e(Euclidean)i(plane)30
  889. 2323 y(in)o(to)14 b(equal-sized)j(square)d(sectors,)g(the)g(n)o(um)o(b)
  890. q(er)h(of)f(whic)o(h)h(is)g(determined)h(b)o(y)e(a)h
  891. Fb(sc)n(ale)h Fj(parameter)e Fi(S)s Fj(;)30 2379 y(eac)o(h)f(no)q(de)h
  892. (in)g(the)f(graph)g(is)h(then)g(assigned)g(to)e(one)h(of)g(the)h
  893. Fi(S)1108 2363 y Ff(2)1140 2379 y Fj(squares.)19 b(In)14
  894. b(constructing)f(an)g(N-lev)o(el)30 2436 y(hierarc)o(hical)k(graph,)e
  895. (the)h(top-lev)o(el)h(graph)e(is)h(constructed)g(in)g(this)g(fashion)g
  896. (using)h(scale)f(parameter)30 2492 y Fi(S)58 2499 y Ff(1)78
  897. 2492 y Fj(.)k(Then)c(eac)o(h)g(square)f(con)o(taining)h(a)f(no)q(de)h
  898. (is)g(sub)q(divided)j(again,)c(according)h(to)e(the)i(second-lev)o(el)
  899. 30 2549 y(scale)k(parameter)e(()p Fi(S)410 2556 y Ff(2)430
  900. 2549 y Fj(),)h(and)g(a)g(graph)g(is)h(constructed)f(using)h(that)f
  901. (top-lev)o(el)h(square)f(as)g(the)g(unit)30 2605 y(plane.)i(Euclidean)
  902. 16 b(co)q(ordinates)f(of)e(all)j(no)q(des)f(are)f(adjusted)g(to)g(the)g
  903. (new)h(scale,)f(in)h(whic)o(h)h Fi(n)e Fj(squares)30
  904. 2661 y(of)i(the)h(original)h(top-lev)o(el)g(plane)f(are)g(no)o(w)f
  905. Fi(n)11 b Fe(02)h Fi(S)924 2668 y Ff(2)960 2661 y Fj(squares.)24
  906. b(This)18 b(pro)q(cess)f(con)o(tin)o(ues)g(recursiv)o(ely)l(.)30
  907. 2718 y(The)f(result)g(is)g(that)f(the)h(scale)g(of)g(the)f(14nal)i
  908. (graph)e(is)i(the)e(pro)q(duct)h(of)g(the)f(scales)i(of)e(the)h
  909. (individual)30 2774 y(lev)o(els,)f(and)f(edge)g(lengths)h(are)e
  910. (roughly)h(determined)i(b)o(y)d(edge)i(lev)o(el.)20 b(F)l(or)14
  911. b(example,)g(in)h(a)e(three-lev)o(el)919 2940 y(2)p eop
  912. %%Page: 3 3
  913. 3 2 bop 440 266 a
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  915.  440 266 a
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  919. transform originalCTM itransform
  920. /taily exch def
  921. /tailx exch def
  922. transform originalCTM itransform
  923. /tipy exch def
  924. /tipx exch def
  925. /dy tipy taily sub def
  926. /dx tipx tailx sub def
  927. /angle dx 0 ne dy 0 ne or { dy dx atan } { 90 } ifelse def
  928. gsave
  929. originalCTM setmatrix
  930. tipx tipy translate
  931. angle rotate
  932. newpath
  933. arrowHeight neg arrowWidth 2 div moveto
  934. 0 0 lineto
  935. arrowHeight neg arrowWidth 2 div neg lineto
  936. patternNone not {
  937. originalCTM setmatrix
  938. /padtip arrowHeight 2 exp 0.25 arrowWidth 2 exp mul add sqrt brushWidth mul
  939. arrowWidth div def
  940. /padtail brushWidth 2 div def
  941. tipx tipy translate
  942. angle rotate
  943. padtip 0 translate
  944. arrowHeight padtip add padtail add arrowHeight div dup scale
  945. arrowheadpath
  946. ifill
  947. } if
  948. brushNone not {
  949. originalCTM setmatrix
  950. tipx tipy translate
  951. angle rotate
  952. arrowheadpath
  953. istroke
  954. } if
  955. grestore
  956. end
  957. } dup 0 9 dict put def
  958. /arrowheadpath {
  959. newpath
  960. arrowHeight neg arrowWidth 2 div moveto
  961. 0 0 lineto
  962. arrowHeight neg arrowWidth 2 div neg lineto
  963. } def
  964. /leftarrow {
  965. 0 begin
  966. y exch get /taily exch def
  967. x exch get /tailx exch def
  968. y exch get /tipy exch def
  969. x exch get /tipx exch def
  970. brushLeftArrow { tipx tipy tailx taily arrowhead } if
  971. end
  972. } dup 0 4 dict put def
  973. /rightarrow {
  974. 0 begin
  975. y exch get /tipy exch def
  976. x exch get /tipx exch def
  977. y exch get /taily exch def
  978. x exch get /tailx exch def
  979. brushRightArrow { tipx tipy tailx taily arrowhead } if
  980. end
  981. } dup 0 4 dict put def
  982. /arrowHeight 10 def
  983. /arrowWidth 5 def
  984. /IdrawDict 50 dict def
  985. IdrawDict begin
  986. /none null def
  987. /numGraphicParameters 17 def
  988. /stringLimit 65535 def
  989. /Begin {
  990. save
  991. numGraphicParameters dict begin
  992. } def
  993. /End {
  994. end
  995. restore
  996. } def
  997. /SetB {
  998. dup type /nulltype eq {
  999. pop
  1000. false /brushRightArrow idef
  1001. false /brushLeftArrow idef
  1002. true /brushNone idef
  1003. } {
  1004. /brushDashOffset idef
  1005. /brushDashArray idef
  1006. 0 ne /brushRightArrow idef
  1007. 0 ne /brushLeftArrow idef
  1008. /brushWidth idef
  1009. false /brushNone idef
  1010. } ifelse
  1011. } def
  1012. /SetCFg {
  1013. /fgblue idef
  1014. /fggreen idef
  1015. /fgred idef
  1016. } def
  1017. /SetCBg {
  1018. /bgblue idef
  1019. /bggreen idef
  1020. /bgred idef
  1021. } def
  1022. /SetF {
  1023. /printSize idef
  1024. /printFont idef
  1025. } def
  1026. /SetP {
  1027. dup type /nulltype eq {
  1028. pop true /patternNone idef
  1029. } {
  1030. dup -1 eq {
  1031. /patternGrayLevel idef
  1032. /patternString idef
  1033. } {
  1034. /patternGrayLevel idef
  1035. } ifelse
  1036. false /patternNone idef
  1037. } ifelse
  1038. } def
  1039. /BSpl {
  1040. 0 begin
  1041. storexyn
  1042. newpath
  1043. n 1 gt {
  1044. 0 0 0 0 0 0 1 1 true subspline
  1045. n 2 gt {
  1046. 0 0 0 0 1 1 2 2 false subspline
  1047. 1 1 n 3 sub {
  1048. /i exch def
  1049. i 1 sub dup i dup i 1 add dup i 2 add dup false subspline
  1050. } for
  1051. n 3 sub dup n 2 sub dup n 1 sub dup 2 copy false subspline
  1052. } if
  1053. n 2 sub dup n 1 sub dup 2 copy 2 copy false subspline
  1054. patternNone not brushLeftArrow not brushRightArrow not and and { ifill } if
  1055. brushNone not { istroke } if
  1056. 0 0 1 1 leftarrow
  1057. n 2 sub dup n 1 sub dup rightarrow
  1058. } if
  1059. end
  1060. } dup 0 4 dict put def
  1061. /Circ {
  1062. newpath
  1063. 0 360 arc
  1064. patternNone not { ifill } if
  1065. brushNone not { istroke } if
  1066. } def
  1067. /CBSpl {
  1068. 0 begin
  1069. dup 2 gt {
  1070. storexyn
  1071. newpath
  1072. n 1 sub dup 0 0 1 1 2 2 true subspline
  1073. 1 1 n 3 sub {
  1074. /i exch def
  1075. i 1 sub dup i dup i 1 add dup i 2 add dup false subspline
  1076. } for
  1077. n 3 sub dup n 2 sub dup n 1 sub dup 0 0 false subspline
  1078. n 2 sub dup n 1 sub dup 0 0 1 1 false subspline
  1079. patternNone not { ifill } if
  1080. brushNone not { istroke } if
  1081. } {
  1082. Poly
  1083. } ifelse
  1084. end
  1085. } dup 0 4 dict put def
  1086. /Elli {
  1087. 0 begin
  1088. newpath
  1089. 4 2 roll
  1090. translate
  1091. scale
  1092. 0 0 1 0 360 arc
  1093. patternNone not { ifill } if
  1094. brushNone not { istroke } if
  1095. end
  1096. } dup 0 1 dict put def
  1097. /Line {
  1098. 0 begin
  1099. 2 storexyn
  1100. newpath
  1101. x 0 get y 0 get moveto
  1102. x 1 get y 1 get lineto
  1103. brushNone not { istroke } if
  1104. 0 0 1 1 leftarrow
  1105. 0 0 1 1 rightarrow
  1106. end
  1107. } dup 0 4 dict put def
  1108. /MLine {
  1109. 0 begin
  1110. storexyn
  1111. newpath
  1112. n 1 gt {
  1113. x 0 get y 0 get moveto
  1114. 1 1 n 1 sub {
  1115. /i exch def
  1116. x i get y i get lineto
  1117. } for
  1118. patternNone not brushLeftArrow not brushRightArrow not and and { ifill } if
  1119. brushNone not { istroke } if
  1120. 0 0 1 1 leftarrow
  1121. n 2 sub dup n 1 sub dup rightarrow
  1122. } if
  1123. end
  1124. } dup 0 4 dict put def
  1125. /Poly {
  1126. 3 1 roll
  1127. newpath
  1128. moveto
  1129. -1 add
  1130. { lineto } repeat
  1131. closepath
  1132. patternNone not { ifill } if
  1133. brushNone not { istroke } if
  1134. } def
  1135. /Rect {
  1136. 0 begin
  1137. /t exch def
  1138. /r exch def
  1139. /b exch def
  1140. /l exch def
  1141. newpath
  1142. l b moveto
  1143. l t lineto
  1144. r t lineto
  1145. r b lineto
  1146. closepath
  1147. patternNone not { ifill } if
  1148. brushNone not { istroke } if
  1149. end
  1150. } dup 0 4 dict put def
  1151. /Text {
  1152. ishow
  1153. } def
  1154. /idef {
  1155. dup where { pop pop pop } { exch def } ifelse
  1156. } def
  1157. /ifill {
  1158. 0 begin
  1159. gsave
  1160. patternGrayLevel -1 ne {
  1161. fgred bgred fgred sub patternGrayLevel mul add
  1162. fggreen bggreen fggreen sub patternGrayLevel mul add
  1163. fgblue bgblue fgblue sub patternGrayLevel mul add setrgbcolor
  1164. eofill
  1165. } {
  1166. eoclip
  1167. originalCTM setmatrix
  1168. pathbbox /t exch def /r exch def /b exch def /l exch def
  1169. /w r l sub ceiling cvi def
  1170. /h t b sub ceiling cvi def
  1171. /imageByteWidth w 8 div ceiling cvi def
  1172. /imageHeight h def
  1173. bgred bggreen bgblue setrgbcolor
  1174. eofill
  1175. fgred fggreen fgblue setrgbcolor
  1176. w 0 gt h 0 gt and {
  1177. l w add b translate w neg h scale
  1178. w h true [w 0 0 h neg 0 h] { patternproc } imagemask
  1179. } if
  1180. } ifelse
  1181. grestore
  1182. end
  1183. } dup 0 8 dict put def
  1184. /istroke {
  1185. gsave
  1186. brushDashOffset -1 eq {
  1187. [] 0 setdash
  1188. 1 setgray
  1189. } {
  1190. brushDashArray brushDashOffset setdash
  1191. fgred fggreen fgblue setrgbcolor
  1192. } ifelse
  1193. brushWidth setlinewidth
  1194. originalCTM setmatrix
  1195. stroke
  1196. grestore
  1197. } def
  1198. /ishow {
  1199. 0 begin
  1200. gsave
  1201. fgred fggreen fgblue setrgbcolor
  1202. /fontDict printFont printSize scalefont dup setfont def
  1203. /descender fontDict begin 0 [FontBBox] 1 get FontMatrix end
  1204. transform exch pop def
  1205. /vertoffset 1 printSize sub descender sub def {
  1206. 0 vertoffset moveto show
  1207. /vertoffset vertoffset printSize sub def
  1208. } forall
  1209. grestore
  1210. end
  1211. } dup 0 3 dict put def
  1212. /patternproc {
  1213. 0 begin
  1214. /patternByteLength patternString length def
  1215. /patternHeight patternByteLength 8 mul sqrt cvi def
  1216. /patternWidth patternHeight def
  1217. /patternByteWidth patternWidth 8 idiv def
  1218. /imageByteMaxLength imageByteWidth imageHeight mul
  1219. stringLimit patternByteWidth sub min def
  1220. /imageMaxHeight imageByteMaxLength imageByteWidth idiv patternHeight idiv
  1221. patternHeight mul patternHeight max def
  1222. /imageHeight imageHeight imageMaxHeight sub store
  1223. /imageString imageByteWidth imageMaxHeight mul patternByteWidth add string def
  1224. 0 1 imageMaxHeight 1 sub {
  1225. /y exch def
  1226. /patternRow y patternByteWidth mul patternByteLength mod def
  1227. /patternRowString patternString patternRow patternByteWidth getinterval def
  1228. /imageRow y imageByteWidth mul def
  1229. 0 patternByteWidth imageByteWidth 1 sub {
  1230. /x exch def
  1231. imageString imageRow x add patternRowString putinterval
  1232. } for
  1233. } for
  1234. imageString
  1235. end
  1236. } dup 0 12 dict put def
  1237. /min {
  1238. dup 3 2 roll dup 4 3 roll lt { exch } if pop
  1239. } def
  1240. /max {
  1241. dup 3 2 roll dup 4 3 roll gt { exch } if pop
  1242. } def
  1243. /midpoint {
  1244. 0 begin
  1245. /y1 exch def
  1246. /x1 exch def
  1247. /y0 exch def
  1248. /x0 exch def
  1249. x0 x1 add 2 div
  1250. y0 y1 add 2 div
  1251. end
  1252. } dup 0 4 dict put def
  1253. /thirdpoint {
  1254. 0 begin
  1255. /y1 exch def
  1256. /x1 exch def
  1257. /y0 exch def
  1258. /x0 exch def
  1259. x0 2 mul x1 add 3 div
  1260. y0 2 mul y1 add 3 div
  1261. end
  1262. } dup 0 4 dict put def
  1263. /subspline {
  1264. 0 begin
  1265. /movetoNeeded exch def
  1266. y exch get /y3 exch def
  1267. x exch get /x3 exch def
  1268. y exch get /y2 exch def
  1269. x exch get /x2 exch def
  1270. y exch get /y1 exch def
  1271. x exch get /x1 exch def
  1272. y exch get /y0 exch def
  1273. x exch get /x0 exch def
  1274. x1 y1 x2 y2 thirdpoint
  1275. /p1y exch def
  1276. /p1x exch def
  1277. x2 y2 x1 y1 thirdpoint
  1278. /p2y exch def
  1279. /p2x exch def
  1280. x1 y1 x0 y0 thirdpoint
  1281. p1x p1y midpoint
  1282. /p0y exch def
  1283. /p0x exch def
  1284. x2 y2 x3 y3 thirdpoint
  1285. p2x p2y midpoint
  1286. /p3y exch def
  1287. /p3x exch def
  1288. movetoNeeded { p0x p0y moveto } if
  1289. p1x p1y p2x p2y p3x p3y curveto
  1290. end
  1291. } dup 0 17 dict put def
  1292. /storexyn {
  1293. /n exch def
  1294. /y n array def
  1295. /x n array def
  1296. n 1 sub -1 0 {
  1297. /i exch def
  1298. y i 3 2 roll put
  1299. x i 3 2 roll put
  1300. } for
  1301. } def
  1302. /SSten {
  1303. fgred fggreen fgblue setrgbcolor
  1304. dup true exch 1 0 0 -1 0 6 -1 roll matrix astore
  1305. } def
  1306. /FSten {
  1307. dup 3 -1 roll dup 4 1 roll exch
  1308. newpath
  1309. 0 0 moveto
  1310. dup 0 exch lineto
  1311. exch dup 3 1 roll exch lineto
  1312. 0 lineto
  1313. closepath
  1314. bgred bggreen bgblue setrgbcolor
  1315. eofill
  1316. SSten
  1317. } def
  1318. /Rast {
  1319. exch dup 3 1 roll 1 0 0 -1 0 6 -1 roll matrix astore
  1320. } def
  1321. %I Idraw 10 Grid 8 8 
  1322. Begin
  1323. %I b u
  1324. %I cfg u
  1325. %I cbg u
  1326. %I f u
  1327. %I p u
  1328. %I t
  1329. [ 0.796717 0 0 0.796717 0 0 ] concat
  1330. /originalCTM matrix currentmatrix def
  1331. Begin %I Line
  1332. %I b 65535
  1333. 2 0 0 [] 0 SetB
  1334. %I cfg Black
  1335. 0 0 0 SetCFg
  1336. %I cbg White
  1337. 1 1 1 SetCBg
  1338. none SetP %I p n
  1339. %I t
  1340. [ 0.5 -0 -0 0.5 154.5 460.5 ] concat
  1341. %I
  1342. 213 77 498 77 Line
  1343. %I 2
  1344. End
  1345. Begin %I Line
  1346. %I b 65535
  1347. 2 0 0 [] 0 SetB
  1348. %I cfg Black
  1349. 0 0 0 SetCFg
  1350. %I cbg White
  1351. 1 1 1 SetCBg
  1352. none SetP %I p n
  1353. %I t
  1354. [ 0.5 -0 -0 0.5 154.5 460.5 ] concat
  1355. %I
  1356. 210 367 210 78 Line
  1357. %I 2
  1358. End
  1359. Begin %I Line
  1360. %I b 65535
  1361. 2 0 0 [] 0 SetB
  1362. %I cfg Black
  1363. 0 0 0 SetCFg
  1364. %I cbg White
  1365. 1 1 1 SetCBg
  1366. none SetP %I p n
  1367. %I t
  1368. [ 0.5 -0 -0 0.5 154.5 460.5 ] concat
  1369. %I
  1370. 116 172 209 78 Line
  1371. %I 2
  1372. End
  1373. Begin %I Line
  1374. %I b 65535
  1375. 2 0 0 [] 0 SetB
  1376. %I cfg Black
  1377. 0 0 0 SetCFg
  1378. %I cbg White
  1379. 1 1 1 SetCBg
  1380. %I p
  1381. 1 SetP
  1382. %I t
  1383. [ 0.5 -0 -0 0.5 233.5 353.5 ] concat
  1384. %I
  1385. 243 387 340 293 Line
  1386. %I 2
  1387. End
  1388. Begin %I Rect
  1389. %I b 65535
  1390. 1 0 0 [] 0 SetB
  1391. %I cfg Black
  1392. 0 0 0 SetCFg
  1393. %I cbg White
  1394. 1 1 1 SetCBg
  1395. none SetP %I p n
  1396. %I t
  1397. [ 1 -0 -0 1 146 361 ] concat
  1398. %I
  1399. 222 319 294 391 Rect
  1400. End
  1401. Begin %I Rect
  1402. %I b 65535
  1403. 1 0 0 [] 0 SetB
  1404. %I cfg Black
  1405. 0 0 0 SetCFg
  1406. %I cbg White
  1407. 1 1 1 SetCBg
  1408. none SetP %I p n
  1409. %I t
  1410. [ 1 -0 -0 1 74 145 ] concat
  1411. %I
  1412. 222 319 294 391 Rect
  1413. End
  1414. Begin %I Line
  1415. %I b 65535
  1416. 3 0 0 [] 0 SetB
  1417. %I cfg Black
  1418. 0 0 0 SetCFg
  1419. %I cbg White
  1420. 1 1 1 SetCBg
  1421. none SetP %I p n
  1422. %I t
  1423. [ 1 -0 -0 1 83 210 ] concat
  1424. %I
  1425. 69 470 357 470 Line
  1426. %I 1
  1427. End
  1428. Begin %I Line
  1429. %I b 65535
  1430. 3 0 0 [] 0 SetB
  1431. %I cfg Black
  1432. 0 0 0 SetCFg
  1433. %I cbg White
  1434. 1 1 1 SetCBg
  1435. none SetP %I p n
  1436. %I t
  1437. [ 1 -0 -0 1 83 138 ] concat
  1438. %I
  1439. 69 470 357 470 Line
  1440. %I 1
  1441. End
  1442. Begin %I Line
  1443. %I b 65535
  1444. 3 0 0 [] 0 SetB
  1445. %I cfg Black
  1446. 0 0 0 SetCFg
  1447. %I cbg White
  1448. 1 1 1 SetCBg
  1449. none SetP %I p n
  1450. %I t
  1451. [ 1 -0 -0 1 83 66 ] concat
  1452. %I
  1453. 69 470 357 470 Line
  1454. %I 1
  1455. End
  1456. Begin %I Poly
  1457. %I b 65535
  1458. 3 0 0 [] 0 SetB
  1459. %I cfg Black
  1460. 0 0 0 SetCFg
  1461. %I cbg White
  1462. 1 1 1 SetCBg
  1463. none SetP %I p n
  1464. %I t
  1465. [ 1 -0 -0 1 83 210 ] concat
  1466. %I 4
  1467. 69 254
  1468. 357 254
  1469. 357 542
  1470. 69 542
  1471. 4 Poly
  1472. End
  1473. Begin %I Line
  1474. %I b 65535
  1475. 3 0 0 [] 0 SetB
  1476. %I cfg Black
  1477. 0 0 0 SetCFg
  1478. %I cbg White
  1479. 1 1 1 SetCBg
  1480. none SetP %I p n
  1481. %I t
  1482. [ 1 -0 -0 1 83 210 ] concat
  1483. %I
  1484. 213 542 213 254 Line
  1485. %I 1
  1486. End
  1487. Begin %I Line
  1488. %I b 65535
  1489. 3 0 0 [] 0 SetB
  1490. %I cfg Black
  1491. 0 0 0 SetCFg
  1492. %I cbg White
  1493. 1 1 1 SetCBg
  1494. none SetP %I p n
  1495. %I t
  1496. [ 1 -0 -0 1 83 210 ] concat
  1497. %I
  1498. 285 542 285 254 Line
  1499. %I 1
  1500. End
  1501. Begin %I Line
  1502. %I b 65535
  1503. 3 0 0 [] 0 SetB
  1504. %I cfg Black
  1505. 0 0 0 SetCFg
  1506. %I cbg White
  1507. 1 1 1 SetCBg
  1508. none SetP %I p n
  1509. %I t
  1510. [ 1 -0 -0 1 83 210 ] concat
  1511. %I
  1512. 141 542 141 254 Line
  1513. %I 1
  1514. End
  1515. Begin %I Pict
  1516. %I b 65535
  1517. 2 0 0 [] 0 SetB
  1518. %I cfg u
  1519. %I cbg u
  1520. %I f u
  1521. %I p u
  1522. %I t
  1523. [ 1 0 0 1 -72 -72 ] concat
  1524. Begin %I Line
  1525. %I b 65535
  1526. 1 0 0 [] 0 SetB
  1527. %I cfg Black
  1528. 0 0 0 SetCFg
  1529. %I cbg White
  1530. 1 1 1 SetCBg
  1531. none SetP %I p n
  1532. %I t
  1533. [ 1 -0 -0 1 83 210 ] concat
  1534. %I
  1535. 165 470 165 398 Line
  1536. %I 1
  1537. End
  1538. Begin %I Line
  1539. %I b 65535
  1540. 1 0 0 [] 0 SetB
  1541. %I cfg Black
  1542. 0 0 0 SetCFg
  1543. %I cbg White
  1544. 1 1 1 SetCBg
  1545. none SetP %I p n
  1546. %I t
  1547. [ 1 -0 -0 1 83 210 ] concat
  1548. %I
  1549. 189 470 189 398 Line
  1550. %I 1
  1551. End
  1552. Begin %I Line
  1553. %I b 65535
  1554. 1 0 0 [] 0 SetB
  1555. %I cfg Black
  1556. 0 0 0 SetCFg
  1557. %I cbg White
  1558. 1 1 1 SetCBg
  1559. none SetP %I p n
  1560. %I t
  1561. [ 1 -0 -0 1 83 202 ] concat
  1562. %I
  1563. 141 454 213 454 Line
  1564. %I 1
  1565. End
  1566. Begin %I Line
  1567. %I b 65535
  1568. 1 0 0 [] 0 SetB
  1569. %I cfg Black
  1570. 0 0 0 SetCFg
  1571. %I cbg White
  1572. 1 1 1 SetCBg
  1573. none SetP %I p n
  1574. %I t
  1575. [ 1 -0 -0 1 83 210 ] concat
  1576. %I
  1577. 141 422 213 422 Line
  1578. %I 1
  1579. End
  1580. End %I eop
  1581. Begin %I Pict
  1582. %I b 65535
  1583. 2 0 0 [] 0 SetB
  1584. %I cfg u
  1585. %I cbg u
  1586. %I f u
  1587. none SetP %I p n
  1588. %I t
  1589. [ 1 0 0 1 72 -72 ] concat
  1590. Begin %I Line
  1591. %I b 65535
  1592. 1 0 0 [] 0 SetB
  1593. %I cfg Black
  1594. 0 0 0 SetCFg
  1595. %I cbg White
  1596. 1 1 1 SetCBg
  1597. none SetP %I p n
  1598. %I t
  1599. [ 1 -0 -0 1 83 210 ] concat
  1600. %I
  1601. 165 470 165 398 Line
  1602. %I 1
  1603. End
  1604. Begin %I Line
  1605. %I b 65535
  1606. 1 0 0 [] 0 SetB
  1607. %I cfg Black
  1608. 0 0 0 SetCFg
  1609. %I cbg White
  1610. 1 1 1 SetCBg
  1611. none SetP %I p n
  1612. %I t
  1613. [ 1 -0 -0 1 83 210 ] concat
  1614. %I
  1615. 189 470 189 398 Line
  1616. %I 1
  1617. End
  1618. Begin %I Line
  1619. %I b 65535
  1620. 1 0 0 [] 0 SetB
  1621. %I cfg Black
  1622. 0 0 0 SetCFg
  1623. %I cbg White
  1624. 1 1 1 SetCBg
  1625. none SetP %I p n
  1626. %I t
  1627. [ 1 -0 -0 1 83 202 ] concat
  1628. %I
  1629. 141 454 213 454 Line
  1630. %I 1
  1631. End
  1632. Begin %I Line
  1633. %I b 65535
  1634. 1 0 0 [] 0 SetB
  1635. %I cfg Black
  1636. 0 0 0 SetCFg
  1637. %I cbg White
  1638. 1 1 1 SetCBg
  1639. none SetP %I p n
  1640. %I t
  1641. [ 1 -0 -0 1 83 210 ] concat
  1642. %I
  1643. 141 422 213 422 Line
  1644. %I 1
  1645. End
  1646. End %I eop
  1647. Begin %I Elli
  1648. %I b 65535
  1649. 1 0 0 [] 0 SetB
  1650. %I cfg Black
  1651. 0 0 0 SetCFg
  1652. %I cbg White
  1653. 1 1 1 SetCBg
  1654. %I p
  1655. 0 SetP
  1656. %I t
  1657. [ 0.5 -0 -0 0.5 221.5 510.5 ] concat
  1658. %I
  1659. 173 172 5 5 Elli
  1660. End
  1661. Begin %I Pict
  1662. %I b u
  1663. %I cfg u
  1664. %I cbg u
  1665. %I f u
  1666. %I p u
  1667. %I t
  1668. [ 1 0 0 1 24 24 ] concat
  1669. Begin %I Line
  1670. %I b 65535
  1671. 1 0 0 [] 0 SetB
  1672. %I cfg Black
  1673. 0 0 0 SetCFg
  1674. %I cbg White
  1675. 1 1 1 SetCBg
  1676. none SetP %I p n
  1677. %I t
  1678. [ 0.5 -0 -0 0.5 233.5 353.5 ] concat
  1679. %I
  1680. 189 461 189 413 Line
  1681. %I 2
  1682. End
  1683. Begin %I Line
  1684. %I b 65535
  1685. 1 0 0 [] 0 SetB
  1686. %I cfg Black
  1687. 0 0 0 SetCFg
  1688. %I cbg White
  1689. 1 1 1 SetCBg
  1690. none SetP %I p n
  1691. %I t
  1692. [ 0.5 -0 -0 0.5 233.5 353.5 ] concat
  1693. %I
  1694. 205 461 205 413 Line
  1695. %I 2
  1696. End
  1697. Begin %I Line
  1698. %I b 65535
  1699. 1 0 0 [] 0 SetB
  1700. %I cfg Black
  1701. 0 0 0 SetCFg
  1702. %I cbg White
  1703. 1 1 1 SetCBg
  1704. none SetP %I p n
  1705. %I t
  1706. [ 0.5 -0 -0 0.5 233.5 353.5 ] concat
  1707. %I
  1708. 173 445 221 445 Line
  1709. %I 2
  1710. End
  1711. Begin %I Line
  1712. %I b 65535
  1713. 1 0 0 [] 0 SetB
  1714. %I cfg Black
  1715. 0 0 0 SetCFg
  1716. %I cbg White
  1717. 1 1 1 SetCBg
  1718. none SetP %I p n
  1719. %I t
  1720. [ 0.5 -0 -0 0.5 233.5 353.5 ] concat
  1721. %I
  1722. 173 429 221 429 Line
  1723. %I 2
  1724. End
  1725. Begin %I Elli
  1726. %I b 65535
  1727. 1 0 0 [] 0 SetB
  1728. %I cfg Black
  1729. 0 0 0 SetCFg
  1730. %I cbg White
  1731. 1 1 1 SetCBg
  1732. %I p
  1733. 0 SetP
  1734. %I t
  1735. [ 0.5 -0 -0 0.5 237.5 478.5 ] concat
  1736. %I
  1737. 173 172 5 5 Elli
  1738. End
  1739. Begin %I Elli
  1740. %I b 65535
  1741. 1 0 0 [] 0 SetB
  1742. %I cfg Black
  1743. 0 0 0 SetCFg
  1744. %I cbg White
  1745. 1 1 1 SetCBg
  1746. %I p
  1747. 0 SetP
  1748. %I t
  1749. [ 0.5 -0 -0 0.5 245.5 494.5 ] concat
  1750. %I
  1751. 173 172 5 5 Elli
  1752. End
  1753. Begin %I Elli
  1754. %I b 65535
  1755. 1 0 0 [] 0 SetB
  1756. %I cfg Black
  1757. 0 0 0 SetCFg
  1758. %I cbg White
  1759. 1 1 1 SetCBg
  1760. %I p
  1761. 0 SetP
  1762. %I t
  1763. [ 0.5 -0 -0 0.5 253 486.5 ] concat
  1764. %I
  1765. 173 172 5 5 Elli
  1766. End
  1767. Begin %I Elli
  1768. %I b 65535
  1769. 1 0 0 [] 0 SetB
  1770. %I cfg Black
  1771. 0 0 0 SetCFg
  1772. %I cbg White
  1773. 1 1 1 SetCBg
  1774. %I p
  1775. 0 SetP
  1776. %I t
  1777. [ 0.5 -0 -0 0.5 237.5 486.5 ] concat
  1778. %I
  1779. 173 172 5 5 Elli
  1780. End
  1781. Begin %I Line
  1782. %I b 65535
  1783. 1 0 0 [] 0 SetB
  1784. %I cfg Black
  1785. 0 0 0 SetCFg
  1786. %I cbg White
  1787. 1 1 1 SetCBg
  1788. none SetP %I p n
  1789. %I t
  1790. [ 0.5 -0 -0 0.5 233.5 353.5 ] concat
  1791. %I
  1792. 182 438 181 421 Line
  1793. %I 2
  1794. End
  1795. Begin %I Line
  1796. %I b 65535
  1797. 1 0 0 [] 0 SetB
  1798. %I cfg Black
  1799. 0 0 0 SetCFg
  1800. %I cbg White
  1801. 1 1 1 SetCBg
  1802. none SetP %I p n
  1803. %I t
  1804. [ 0.5 -0 -0 0.5 233.5 353.5 ] concat
  1805. %I
  1806. 181 421 212 437 Line
  1807. %I 2
  1808. End
  1809. Begin %I Line
  1810. %I b 65535
  1811. 1 0 0 [] 0 SetB
  1812. %I cfg Black
  1813. 0 0 0 SetCFg
  1814. %I cbg White
  1815. 1 1 1 SetCBg
  1816. none SetP %I p n
  1817. %I t
  1818. [ 0.5 -0 -0 0.5 233.5 353.5 ] concat
  1819. %I
  1820. 197 453 182 421 Line
  1821. %I 2
  1822. End
  1823. Begin %I Line
  1824. %I b 65535
  1825. 1 0 0 [] 0 SetB
  1826. %I cfg Black
  1827. 0 0 0 SetCFg
  1828. %I cbg White
  1829. 1 1 1 SetCBg
  1830. none SetP %I p n
  1831. %I t
  1832. [ 0.5 -0 -0 0.5 233.5 353.5 ] concat
  1833. %I
  1834. 197 454 213 436 Line
  1835. %I 2
  1836. End
  1837. End %I eop
  1838. Begin %I Elli
  1839. %I b 65535
  1840. 1 0 0 [] 0 SetB
  1841. %I cfg Black
  1842. 0 0 0 SetCFg
  1843. %I cbg White
  1844. 1 1 1 SetCBg
  1845. %I p
  1846. 0 SetP
  1847. %I t
  1848. [ 0.5 -0 -0 0.5 268.5 462 ] concat
  1849. %I
  1850. 173 172 5 5 Elli
  1851. End
  1852. Begin %I Elli
  1853. %I b 65535
  1854. 1 0 0 [] 0 SetB
  1855. %I cfg Black
  1856. 0 0 0 SetCFg
  1857. %I cbg White
  1858. 1 1 1 SetCBg
  1859. %I p
  1860. 0 SetP
  1861. %I t
  1862. [ 0.5 -0 -0 0.5 221.5 486 ] concat
  1863. %I
  1864. 173 172 5 5 Elli
  1865. End
  1866. Begin %I Line
  1867. %I b 65535
  1868. 1 0 0 [] 0 SetB
  1869. %I cfg Black
  1870. 0 0 0 SetCFg
  1871. %I cbg White
  1872. 1 1 1 SetCBg
  1873. none SetP %I p n
  1874. %I t
  1875. [ 0.5 -0 -0 0.5 233.5 353.5 ] concat
  1876. %I
  1877. 150 485 150 436 Line
  1878. %I 2
  1879. End
  1880. Begin %I Line
  1881. %I b 65535
  1882. 1 0 0 [] 0 SetB
  1883. %I cfg Black
  1884. 0 0 0 SetCFg
  1885. %I cbg White
  1886. 1 1 1 SetCBg
  1887. none SetP %I p n
  1888. %I t
  1889. [ 0.5 -0 -0 0.5 233.5 353.5 ] concat
  1890. %I
  1891. 150 485 229 485 Line
  1892. %I 2
  1893. End
  1894. Begin %I Line
  1895. %I b 65535
  1896. 1 0 0 [] 0 SetB
  1897. %I cfg Black
  1898. 0 0 0 SetCFg
  1899. %I cbg White
  1900. 1 1 1 SetCBg
  1901. none SetP %I p n
  1902. %I t
  1903. [ 0.5 -0 -0 0.5 233.5 353.5 ] concat
  1904. %I
  1905. 151 436 243 388 Line
  1906. %I 2
  1907. End
  1908. Begin %I Line
  1909. %I b 65535
  1910. 1 0 0 [] 0 SetB
  1911. %I cfg Black
  1912. 0 0 0 SetCFg
  1913. %I cbg White
  1914. 1 1 1 SetCBg
  1915. none SetP %I p n
  1916. %I t
  1917. [ 0.5 -0 -0 0.5 233.5 353.5 ] concat
  1918. %I
  1919. 228 468 243 387 Line
  1920. %I 2
  1921. End
  1922. Begin %I Elli
  1923. %I b 61680
  1924. 1 0 0 [4 4 4 4] 0 SetB
  1925. %I cfg Black
  1926. 0 0 0 SetCFg
  1927. %I cbg White
  1928. 1 1 1 SetCBg
  1929. %I p
  1930. 1 SetP
  1931. %I t
  1932. [ 1 -0 -0 1 104 335 ] concat
  1933. %I
  1934. 156 165 20 20 Elli
  1935. End
  1936. Begin %I Elli
  1937. %I b 61680
  1938. 1 0 0 [4 4 4 4] 0 SetB
  1939. %I cfg Black
  1940. 0 0 0 SetCFg
  1941. %I cbg White
  1942. 1 1 1 SetCBg
  1943. %I p
  1944. 1 SetP
  1945. %I t
  1946. [ 1 -0 -0 1 248 335 ] concat
  1947. %I
  1948. 156 165 20 20 Elli
  1949. End
  1950. Begin %I Elli
  1951. %I b 61680
  1952. 1 0 0 [4 4 4 4] 0 SetB
  1953. %I cfg Black
  1954. 0 0 0 SetCFg
  1955. %I cbg White
  1956. 1 1 1 SetCBg
  1957. %I p
  1958. 1 SetP
  1959. %I t
  1960. [ 1 -0 -0 1 104 479 ] concat
  1961. %I
  1962. 156 165 20 20 Elli
  1963. End
  1964. Begin %I Line
  1965. %I b 65535
  1966. 2 0 0 [] 0 SetB
  1967. %I cfg Black
  1968. 0 0 0 SetCFg
  1969. %I cbg White
  1970. 1 1 1 SetCBg
  1971. %I p
  1972. 1 SetP
  1973. %I t
  1974. [ 1 -0 -0 1 83 281 ] concat
  1975. %I
  1976. 176 435 321 361 Line
  1977. %I 1
  1978. End
  1979. Begin %I Line
  1980. %I b 65535
  1981. 2 0 0 [] 0 SetB
  1982. %I cfg Black
  1983. 0 0 0 SetCFg
  1984. %I cbg White
  1985. 1 1 1 SetCBg
  1986. %I p
  1987. 1 SetP
  1988. %I t
  1989. [ 1 -0 -0 1 83 281 ] concat
  1990. %I
  1991. 176 435 104 290 Line
  1992. %I 1
  1993. End
  1994. Begin %I Elli
  1995. %I b 65535
  1996. 1 0 0 [] 0 SetB
  1997. %I cfg Black
  1998. 0 0 0 SetCFg
  1999. %I cbg White
  2000. 1 1 1 SetCBg
  2001. %I p
  2002. 0 SetP
  2003. %I t
  2004. [ 0.5 -0 -0 0.5 78 486.5 ] concat
  2005. %I
  2006. 173 172 5 5 Elli
  2007. End
  2008. Begin %I Elli
  2009. %I b 65535
  2010. 1 0 0 [] 0 SetB
  2011. %I cfg Black
  2012. 0 0 0 SetCFg
  2013. %I cbg White
  2014. 1 1 1 SetCBg
  2015. %I p
  2016. 0 SetP
  2017. %I t
  2018. [ 0.5 -0 -0 0.5 125.5 486.5 ] concat
  2019. %I
  2020. 173 172 5 5 Elli
  2021. End
  2022. Begin %I Elli
  2023. %I b 65535
  2024. 1 0 0 [] 0 SetB
  2025. %I cfg Black
  2026. 0 0 0 SetCFg
  2027. %I cbg White
  2028. 1 1 1 SetCBg
  2029. %I p
  2030. 0 SetP
  2031. %I t
  2032. [ 0.5 -0 -0 0.5 101.5 511.5 ] concat
  2033. %I
  2034. 173 172 5 5 Elli
  2035. End
  2036. Begin %I Elli
  2037. %I b 65535
  2038. 1 0 0 [] 0 SetB
  2039. %I cfg Black
  2040. 0 0 0 SetCFg
  2041. %I cbg White
  2042. 1 1 1 SetCBg
  2043. %I p
  2044. 0 SetP
  2045. %I t
  2046. [ 0.5 -0 -0 0.5 101.5 486.5 ] concat
  2047. %I
  2048. 173 172 5 5 Elli
  2049. End
  2050. Begin %I Elli
  2051. %I b 65535
  2052. 1 0 0 [] 0 SetB
  2053. %I cfg Black
  2054. 0 0 0 SetCFg
  2055. %I cbg White
  2056. 1 1 1 SetCBg
  2057. %I p
  2058. 0 SetP
  2059. %I t
  2060. [ 0.5 -0 -0 0.5 125.5 461.5 ] concat
  2061. %I
  2062. 173 172 5 5 Elli
  2063. End
  2064. Begin %I Line
  2065. %I b 65535
  2066. 1 0 0 [] 0 SetB
  2067. %I cfg Black
  2068. 0 0 0 SetCFg
  2069. %I cbg White
  2070. 1 1 1 SetCBg
  2071. none SetP %I p n
  2072. %I t
  2073. [ 0.5 -0 -0 0.5 79.5 460.5 ] concat
  2074. %I
  2075. 218 272 264 223 Line
  2076. %I 2
  2077. End
  2078. Begin %I Line
  2079. %I b 65535
  2080. 1 0 0 [] 0 SetB
  2081. %I cfg Black
  2082. 0 0 0 SetCFg
  2083. %I cbg White
  2084. 1 1 1 SetCBg
  2085. none SetP %I p n
  2086. %I t
  2087. [ 0.5 -0 -0 0.5 79.5 460.5 ] concat
  2088. %I
  2089. 265 222 265 172 Line
  2090. %I 2
  2091. End
  2092. Begin %I Line
  2093. %I b 65535
  2094. 1 0 0 [] 0 SetB
  2095. %I cfg Black
  2096. 0 0 0 SetCFg
  2097. %I cbg White
  2098. 1 1 1 SetCBg
  2099. none SetP %I p n
  2100. %I t
  2101. [ 0.5 -0 -0 0.5 79.5 460.5 ] concat
  2102. %I
  2103. 170 223 217 223 Line
  2104. %I 2
  2105. End
  2106. Begin %I Line
  2107. %I b 65535
  2108. 1 0 0 [] 0 SetB
  2109. %I cfg Black
  2110. 0 0 0 SetCFg
  2111. %I cbg White
  2112. 1 1 1 SetCBg