doc/images/strongly_connected_components.eps
author Balazs Dezso <deba@inf.elte.hu>
Thu, 24 Jun 2010 09:27:53 +0200
changeset 891 bb70ad62c95f
parent 586 7c12061bd271
child 1045 4e8787627db3
permissions -rw-r--r--
Fix critical bug in preflow (#372)

The wrong transition between the bound decrease and highest active
heuristics caused the bug. The last node chosen in bound decrease mode
is used in the first iteration in highest active mode.
     1 %!PS-Adobe-2.0 EPSF-2.0
     2 %%Creator: LEMON, graphToEps()
     3 %%CreationDate: Fri Nov  4 13:47:12 2005
     4 %%BoundingBox: 0 0 842 596
     5 %%EndComments
     6 /lb { setlinewidth setrgbcolor newpath moveto
     7       4 2 roll 1 index 1 index curveto stroke } bind def
     8 /l { setlinewidth setrgbcolor newpath moveto lineto stroke } bind def
     9 /c { newpath dup 3 index add 2 index moveto 0 360 arc closepath } bind def
    10 /sq { newpath 2 index 1 index add 2 index 2 index add moveto
    11       2 index 1 index sub 2 index 2 index add lineto
    12       2 index 1 index sub 2 index 2 index sub lineto
    13       2 index 1 index add 2 index 2 index sub lineto
    14       closepath pop pop pop} bind def
    15 /di { newpath 2 index 1 index add 2 index moveto
    16       2 index             2 index 2 index add lineto
    17       2 index 1 index sub 2 index             lineto
    18       2 index             2 index 2 index sub lineto
    19       closepath pop pop pop} bind def
    20 /nc { 0 0 0 setrgbcolor 5 index 5 index 5 index c fill
    21      setrgbcolor 1.1 div c fill
    22    } bind def
    23 /nsq { 0 0 0 setrgbcolor 5 index 5 index 5 index sq fill
    24      setrgbcolor 1.1 div sq fill
    25    } bind def
    26 /ndi { 0 0 0 setrgbcolor 5 index 5 index 5 index di fill
    27      setrgbcolor 1.1 div di fill
    28    } bind def
    29 /arrl 10 def
    30 /arrw 3 def
    31 /lrl { 2 index mul exch 2 index mul exch rlineto pop} bind def
    32 /arr { setrgbcolor /y1 exch def /x1 exch def /dy exch def /dx exch def
    33        /w exch def /len exch def
    34        newpath x1 dy w 2 div mul add y1 dx w 2 div mul sub moveto
    35        len w sub arrl sub dx dy lrl
    36        arrw dy dx neg lrl
    37        dx arrl w add mul dy w 2 div arrw add mul sub
    38        dy arrl w add mul dx w 2 div arrw add mul add rlineto
    39        dx arrl w add mul neg dy w 2 div arrw add mul sub
    40        dy arrl w add mul neg dx w 2 div arrw add mul add rlineto
    41        arrw dy dx neg lrl
    42        len w sub arrl sub neg dx dy lrl
    43        closepath fill } bind def
    44 /cshow { 2 index 2 index moveto dup stringwidth pop
    45          neg 2 div fosi .35 mul neg rmoveto show pop pop} def
    46 
    47 gsave
    48 90 rotate
    49 0 -842 translate
    50 77.1122 15 translate
    51 0.585745 dup scale
    52 90 rotate
    53 695.963 -397.916 translate
    54 %Edges:
    55 gsave
    56 2 setlinewidth 0 0 1 setrgbcolor newpath
    57 218.178 27.2723 moveto
    58 192.373 -40.1551 188.622 -49.9556 169.228 -100.631 curveto stroke
    59 newpath 164.939 -111.838 moveto 165.492 -99.2013 lineto 172.964 -102.061 lineto closepath fill
    60 2 setlinewidth 0 0 1 setrgbcolor newpath
    61 44.8044 15.5841 moveto
    62 119.293 20.6059 129.775 21.3125 186.25 25.1199 curveto stroke
    63 newpath 198.223 25.927 moveto 186.519 21.1289 lineto 185.981 29.1108 lineto closepath fill
    64 2 setlinewidth 1 0 0 setrgbcolor newpath
    65 218.178 27.2723 moveto
    66 285.395 -87.4449 290.763 -96.6058 348.102 -194.464 curveto stroke
    67 newpath 354.169 -204.818 moveto 344.651 -196.487 lineto 351.554 -192.442 lineto closepath fill
    68 2 setlinewidth 0 0 1 setrgbcolor newpath
    69 157.79 -130.517 moveto
    70 108.71 -67.0521 102.27 -58.7243 64.3804 -9.72954 curveto stroke
    71 newpath 57.0394 -0.236898 moveto 67.5446 -7.28254 lineto 61.2162 -12.1765 lineto closepath fill
    72 2 setlinewidth 1 0 0 setrgbcolor newpath
    73 -105.193 -261.035 moveto
    74 -35.6576 -132.801 -30.5923 -123.459 29.5506 -12.5464 curveto stroke
    75 newpath 35.2708 -1.99743 moveto 33.0669 -14.4531 lineto 26.0343 -10.6397 lineto closepath fill
    76 2 setlinewidth 0 0 1 setrgbcolor newpath
    77 -465.576 -42.8564 moveto
    78 -559.078 -25.5413 -569.47 -23.6169 -644.498 -9.72286 curveto stroke
    79 newpath -656.297 -7.5378 moveto -643.77 -5.78973 lineto -645.226 -13.656 lineto closepath fill
    80 2 setlinewidth 0 0 1 setrgbcolor newpath
    81 -574.666 -153.893 moveto
    82 -528.842 -107.252 -521.515 -99.794 -488.002 -65.683 curveto stroke
    83 newpath -479.592 -57.123 moveto -485.149 -68.4863 lineto -490.856 -62.8797 lineto closepath fill
    84 2 setlinewidth 1 0 0 setrgbcolor newpath
    85 -490.901 120.777 moveto
    86 -480.122 51.1328 -478.519 40.7713 -470.47 -11.2329 curveto stroke
    87 newpath -468.635 -23.0917 moveto -474.423 -11.8447 lineto -466.517 -10.6212 lineto closepath fill
    88 2 setlinewidth 0 0 1 setrgbcolor newpath
    89 -675.963 -3.89604 moveto
    90 -632.116 -68.8235 -626.228 -77.5422 -592.575 -127.374 curveto stroke
    91 newpath -585.859 -137.319 moveto -595.89 -129.612 lineto -589.26 -125.135 lineto closepath fill
    92 2 setlinewidth 0 0 1 setrgbcolor newpath
    93 -490.901 120.777 moveto
    94 -435.445 215.844 -430.107 224.995 -384.3 303.522 curveto stroke
    95 newpath -378.253 313.887 moveto -380.845 301.507 lineto -387.755 305.537 lineto closepath fill
    96 2 setlinewidth 0 0 1 setrgbcolor newpath
    97 -266.879 114.933 moveto
    98 -367.067 117.547 -377.642 117.822 -458.912 119.943 curveto stroke
    99 newpath -470.908 120.255 moveto -458.807 123.941 lineto -459.016 115.944 lineto closepath fill
   100 2 setlinewidth 0 0 1 setrgbcolor newpath
   101 -368.176 331.163 moveto
   102 -322.511 233.685 -318.018 224.095 -280.454 143.911 curveto stroke
   103 newpath -275.364 133.044 moveto -284.076 142.214 lineto -276.832 145.608 lineto closepath fill
   104 2 setlinewidth 1 0 0 setrgbcolor newpath
   105 -266.879 114.933 moveto
   106 -224.004 235.52 -220.448 245.52 -184.094 347.765 curveto stroke
   107 newpath -180.074 359.072 moveto -180.325 346.425 lineto -187.863 349.105 lineto closepath fill
   108 2 setlinewidth 0 0 1 setrgbcolor newpath
   109 -251.294 -335.059 moveto
   110 -189.25 -303.624 -179.902 -298.887 -133.738 -275.498 curveto stroke
   111 newpath -123.034 -270.074 moveto -131.93 -279.066 lineto -135.546 -271.93 lineto closepath fill
   112 2 setlinewidth 0 0 1 setrgbcolor newpath
   113 -389.604 -136.361 moveto
   114 -327.15 -226.083 -321.098 -234.777 -269.576 -308.795 curveto stroke
   115 newpath -262.72 -318.644 moveto -272.859 -311.081 lineto -266.293 -306.51 lineto closepath fill
   116 2 setlinewidth 1 0 0 setrgbcolor newpath
   117 5.84406 175.322 moveto
   118 -76.0754 267.926 -83.1051 275.873 -152.172 353.948 curveto stroke
   119 newpath -160.122 362.936 moveto -149.176 356.598 lineto -155.168 351.298 lineto closepath fill
   120 2 setlinewidth 0 0 1 setrgbcolor newpath
   121 169.478 311.683 moveto
   122 96.8003 251.119 88.6819 244.353 30.4273 195.808 curveto stroke
   123 newpath 21.2086 188.126 moveto 27.8666 198.881 lineto 32.988 192.735 lineto closepath fill
   124 2 setlinewidth 0 0 1 setrgbcolor newpath
   125 342.851 111.037 moveto
   126 263.766 202.563 256.831 210.589 190.4 287.47 curveto stroke
   127 newpath 182.554 296.55 moveto 193.427 290.085 lineto 187.373 284.855 lineto closepath fill
   128 2 setlinewidth 0 0 1 setrgbcolor newpath
   129 5.84406 175.322 moveto
   130 163.16 145.314 173.605 143.321 311.418 117.033 curveto stroke
   131 newpath 323.205 114.784 moveto 310.668 113.104 lineto 312.167 120.962 lineto closepath fill
   132 2 setlinewidth 0 0 1 setrgbcolor newpath
   133 342.851 111.037 moveto
   134 497.255 2.58683 505.964 -3.53033 643.932 -100.436 curveto stroke
   135 newpath 653.752 -107.334 moveto 641.633 -103.71 lineto 646.231 -97.163 lineto closepath fill
   136 2 setlinewidth 0 0 1 setrgbcolor newpath
   137 364.28 -222.074 moveto
   138 354.298 -66.9063 353.616 -56.2971 344.905 79.1029 curveto stroke
   139 newpath 344.135 91.0781 moveto 348.897 79.3597 lineto 340.914 78.8461 lineto closepath fill
   140 2 setlinewidth 0 0 1 setrgbcolor newpath
   141 670.118 -118.829 moveto
   142 528.037 -166.793 517.967 -170.192 394.599 -211.839 curveto stroke
   143 newpath 383.229 -215.677 moveto 393.32 -208.049 lineto 395.878 -215.629 lineto closepath fill
   144 2 setlinewidth 1 0 0 setrgbcolor newpath
   145 -105.193 -261.035 moveto
   146 118.401 -242.479 129.015 -241.598 332.39 -224.721 curveto stroke
   147 newpath 344.348 -223.728 moveto 332.72 -228.707 lineto 332.059 -220.734 lineto closepath fill
   148 2 setlinewidth 0 0 1 setrgbcolor newpath
   149 -105.193 -261.035 moveto
   150 -160.867 -161.176 -166.028 -151.918 -212.336 -68.858 curveto stroke
   151 newpath -218.179 -58.3769 moveto -208.842 -66.9102 lineto -215.829 -70.8058 lineto closepath fill
   152 2 setlinewidth 0 0 1 setrgbcolor newpath
   153 -227.918 -40.9084 moveto
   154 -298.35 -82.4884 -307.42 -87.8432 -362.048 -120.093 curveto stroke
   155 newpath -372.381 -126.193 moveto -364.081 -116.648 lineto -360.014 -123.537 lineto closepath fill
   156 grestore
   157 %Nodes:
   158 gsave
   159 -389.604 -136.361 20 0 1 0 nc
   160 -227.918 -40.9084 20 0 1 0 nc
   161 -105.193 -261.035 20 0 1 0 nc
   162 364.28 -222.074 20 1 1 0 nc
   163 670.118 -118.829 20 1 1 0 nc
   164 342.851 111.037 20 1 1 0 nc
   165 5.84406 175.322 20 1 1 0 nc
   166 169.478 311.683 20 1 1 0 nc
   167 -173.374 377.916 20 1 0 1 nc
   168 -251.294 -335.059 20 0 1 0 nc
   169 -266.879 114.933 20 0 0 0 nc
   170 -368.176 331.163 20 0 0 0 nc
   171 -490.901 120.777 20 0 0 0 nc
   172 -574.666 -153.893 20 1 0 0 nc
   173 -675.963 -3.89604 20 1 0 0 nc
   174 -465.576 -42.8564 20 1 0 0 nc
   175 44.8044 15.5841 20 0 0 1 nc
   176 157.79 -130.517 20 0 0 1 nc
   177 218.178 27.2723 20 0 0 1 nc
   178 grestore
   179 grestore
   180 showpage