<<NetworkSystems/NewGraphs.m
Install["NetworkSystems/NewGraphsLink"]
Table[Random3Graph[8], {20}] ;
(Length /@ XGCEvolveList[{bkr[1, 2], bkr[3, 3]}, #, 8])& /@ %548
{{12, 18, 18, 18, 18, 18, 18, 18, 18},
{12, 12, 12, 12, 12, 12, 12, 12, 12},
{12, 12, 12, 12, 12, 12, 12, 12, 12},
{12, 18, 18, 18, 18, 18, 18, 18, 18},
{12, 18, 18, 18, 18, 18, 18, 18, 18},
{12, 24, 36, 60, 108, 192, 372, 708, 1404},
{12, 24, 36, 66, 126, 246, 474, 954, 1878},
{12, 18, 24, 30, 36, 42, 48, 54, 60},
{12, 18, 24, 42, 72, 120, 204, 348, 624},
{12, 12, 12, 12, 12, 12, 12, 12, 12},
{12, 18, 24, 36, 48, 60, 72, 84, 96},
{12, 18, 24, 42, 72, 132, 240, 444, 840},
{12, 12, 12, 12, 12, 12, 12, 12, 12},
{12, 24, 36, 60, 108, 180, 324, 636, 1212},
{12, 24, 30, 48, 66, 96, 150, 240, 426},
{12, 15, 15, 15, 15, 15, 15, 15, 15},
{12, 18, 15, 27, 33, 39, 45, 51, 57},
{12, 18, 24, 30, 36, 42, 48, 54, 60},
{12, 18, 24, 36, 60, 96, 168, 300, 564},
{12, 18, 24, 36, 60, 90, 144, 246, 420}}
{12, 12, 12, 12, 12, 12, 12, 12, 12},
{12, 12, 12, 12, 12, 12, 12, 12, 12},
{12, 18, 18, 18, 18, 18, 18, 18, 18},
{12, 18, 18, 18, 18, 18, 18, 18, 18},
{12, 24, 36, 60, 108, 192, 372, 708, 1404},
{12, 24, 36, 66, 126, 246, 474, 954, 1878},
{12, 18, 24, 30, 36, 42, 48, 54, 60},
{12, 18, 24, 42, 72, 120, 204, 348, 624},
{12, 12, 12, 12, 12, 12, 12, 12, 12},
{12, 18, 24, 36, 48, 60, 72, 84, 96},
{12, 18, 24, 42, 72, 132, 240, 444, 840},
{12, 12, 12, 12, 12, 12, 12, 12, 12},
{12, 24, 36, 60, 108, 180, 324, 636, 1212},
{12, 24, 30, 48, 66, 96, 150, 240, 426},
{12, 15, 15, 15, 15, 15, 15, 15, 15},
{12, 18, 15, 27, 33, 39, 45, 51, 57},
{12, 18, 24, 30, 36, 42, 48, 54, 60},
{12, 18, 24, 36, 60, 96, 168, 300, 564},
{12, 18, 24, 36, 60, 90, 144, 246, 420}}
Table[Random3Graph[20], {20}] ;
(Length /@ XGCEvolveList[{bkr[1, 2], bkr[3, 3]}, #, 8])& /@ %550
{{30, 42, 60, 87, 141, 213, 345, 561, 981},
{30, 42, 48, 54, 60, 66, 72, 78, 84},
{30, 39, 57, 87, 141, 231, 381, 663, 1197},
{30, 42, 48, 66, 102, 162, 270, 462, 822},
{30, 60, 84, 144, 252, 444, 792, 1464, 2772},
{30, 42, 60, 90, 132, 192, 270, 384, 558},
{30, 39, 57, 87, 141, 219, 345, 543, 909},
{30, 42, 60, 84, 108, 132, 156, 180, 204},
{30, 48, 66, 102, 150, 222, 324, 510, 840},
{30, 42, 54, 72, 102, 156, 240, 402, 696},
{30, 42, 54, 78, 117, 195, 339, 621, 1155},
{30, 54, 72, 114, 162, 246, 396, 654, 1182},
{30, 48, 66, 96, 138, 192, 282, 444, 726},
{30, 48, 60, 90, 138, 210, 330, 546, 972},
{30, 36, 36, 36, 36, 36, 36, 36, 36},
{30, 48, 60, 78, 96, 114, 132, 150, 168},
{30, 42, 54, 72, 96, 120, 144, 168, 192},
{30, 48, 66, 102, 156, 234, 348, 546, 876},
{30, 48, 72, 108, 162, 246, 378, 606, 1026},
{30, 42, 48, 54, 60, 66, 72, 78, 84}}
{30, 42, 48, 54, 60, 66, 72, 78, 84},
{30, 39, 57, 87, 141, 231, 381, 663, 1197},
{30, 42, 48, 66, 102, 162, 270, 462, 822},
{30, 60, 84, 144, 252, 444, 792, 1464, 2772},
{30, 42, 60, 90, 132, 192, 270, 384, 558},
{30, 39, 57, 87, 141, 219, 345, 543, 909},
{30, 42, 60, 84, 108, 132, 156, 180, 204},
{30, 48, 66, 102, 150, 222, 324, 510, 840},
{30, 42, 54, 72, 102, 156, 240, 402, 696},
{30, 42, 54, 78, 117, 195, 339, 621, 1155},
{30, 54, 72, 114, 162, 246, 396, 654, 1182},
{30, 48, 66, 96, 138, 192, 282, 444, 726},
{30, 48, 60, 90, 138, 210, 330, 546, 972},
{30, 36, 36, 36, 36, 36, 36, 36, 36},
{30, 48, 60, 78, 96, 114, 132, 150, 168},
{30, 42, 54, 72, 96, 120, 144, 168, 192},
{30, 48, 66, 102, 156, 234, 348, 546, 876},
{30, 48, 72, 108, 162, 246, 378, 606, 1026},
{30, 42, 48, 54, 60, 66, 72, 78, 84}}
Table[Random3Graph[20], {20}] ;
(Length /@ XGCEvolveList[{bkr[1, 1], bkr[2, 2], bkr[3, 3]}, #, 8])& /@ %
{{30, 30, 30, 30, 30, 30, 30, 30, 30},
{30, 33, 33, 33, 33, 33, 33, 33, 33},
{30, 33, 33, 33, 33, 33, 33, 33, 33},
{30, 30, 30, 30, 30, 30, 30, 30, 30},
{30, 30, 30, 30, 30, 30, 33, 33, 33},
{30, 30, 30, 30, 30, 30, 30, 30, 30},
{30, 30, 30, 30, 30, 30, 30, 30, 30},
{30, 30, 30, 30, 30, 30, 30, 30, 30},
{30, 30, 30, 30, 30, 30, 30, 30, 30},
{30, 30, 30, 30, 30, 30, 30, 30, 27},
{30, 30, 30, 30, 30, 30, 30, 30, 30},
{30, 30, 30, 30, 30, 30, 30, 30, 30},
{30, 30, 30, 30, 30, 33, 33, 33, 33},
{30, 30, 30, 30, 30, 30, 30, 30, 30},
{30, 30, 30, 30, 30, 30, 30, 30, 30},
{30, 30, 27, 27, 27, 27, 27, 27, 27},
{30, 33, 33, 33, 33, 30, 30, 33, 33},
{30, 30, 30, 30, 30, 30, 30, 30, 30},
{30, 30, 30, 30, 30, 30, 30, 30, 30},
{30, 30, 30, 30, 30, 30, 30, 30, 30}}
{30, 33, 33, 33, 33, 33, 33, 33, 33},
{30, 33, 33, 33, 33, 33, 33, 33, 33},
{30, 30, 30, 30, 30, 30, 30, 30, 30},
{30, 30, 30, 30, 30, 30, 33, 33, 33},
{30, 30, 30, 30, 30, 30, 30, 30, 30},
{30, 30, 30, 30, 30, 30, 30, 30, 30},
{30, 30, 30, 30, 30, 30, 30, 30, 30},
{30, 30, 30, 30, 30, 30, 30, 30, 30},
{30, 30, 30, 30, 30, 30, 30, 30, 27},
{30, 30, 30, 30, 30, 30, 30, 30, 30},
{30, 30, 30, 30, 30, 30, 30, 30, 30},
{30, 30, 30, 30, 30, 33, 33, 33, 33},
{30, 30, 30, 30, 30, 30, 30, 30, 30},
{30, 30, 30, 30, 30, 30, 30, 30, 30},
{30, 30, 27, 27, 27, 27, 27, 27, 27},
{30, 33, 33, 33, 33, 30, 30, 33, 33},
{30, 30, 30, 30, 30, 30, 30, 30, 30},
{30, 30, 30, 30, 30, 30, 30, 30, 30},
{30, 30, 30, 30, 30, 30, 30, 30, 30}}
(Length /@ XGCEvolveList[{bkr[1, 1], bkr[2, 2], bkr[3, 3]}, #, 20])& /@ %553
{{30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30,
30, 30, 30, 30, 30, 30, 30},
{30, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33,
33, 33, 33, 33, 33, 33, 33, 33},
{30, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33,
33, 33, 33, 33, 33, 33, 33, 33},
{30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30,
30, 30, 30, 30, 30, 30, 30, 30},
{30, 30, 30, 30, 30, 30, 33, 33, 33, 33, 33, 33, 33,
33, 33, 33, 33, 33, 33, 33, 33},
{30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30,
30, 30, 30, 30, 30, 30, 30, 30},
{30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30,
30, 30, 30, 30, 30, 30, 30, 30},
{30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30,
30, 30, 30, 30, 30, 30, 30, 30},
{30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30,
30, 30, 30, 30, 30, 30, 30, 30},
{30, 30, 30, 30, 30, 30, 30, 30, 27, 30, 30, 30, 30,
30, 30, 30, 30, 30, 30, 30, 30},
{30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30,
30, 30, 30, 30, 30, 30, 30, 30},
{30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30,
30, 30, 30, 30, 30, 30, 30, 30},
{30, 30, 30, 30, 30, 33, 33, 33, 33, 33, 33, 33, 33,
33, 33, 33, 33, 33, 33, 33, 33},
{30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30,
30, 30, 30, 30, 30, 30, 30, 30},
{30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30,
30, 30, 30, 30, 30, 30, 30, 30},
{30, 30, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27,
27, 27, 27, 27, 27, 27, 27, 27},
{30, 33, 33, 33, 33, 30, 30, 33, 33, 33, 33, 33, 33,
33, 33, 33, 33, 33, 33, 33, 33},
{30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30,
30, 30, 30, 30, 30, 30, 30, 30},
{30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30,
30, 30, 30, 30, 30, 30, 30, 30},
{30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30,
30, 30, 30, 30, 30, 30, 30, 30}}
30, 30, 30, 30, 30, 30, 30},
{30, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33,
33, 33, 33, 33, 33, 33, 33, 33},
{30, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33,
33, 33, 33, 33, 33, 33, 33, 33},
{30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30,
30, 30, 30, 30, 30, 30, 30, 30},
{30, 30, 30, 30, 30, 30, 33, 33, 33, 33, 33, 33, 33,
33, 33, 33, 33, 33, 33, 33, 33},
{30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30,
30, 30, 30, 30, 30, 30, 30, 30},
{30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30,
30, 30, 30, 30, 30, 30, 30, 30},
{30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30,
30, 30, 30, 30, 30, 30, 30, 30},
{30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30,
30, 30, 30, 30, 30, 30, 30, 30},
{30, 30, 30, 30, 30, 30, 30, 30, 27, 30, 30, 30, 30,
30, 30, 30, 30, 30, 30, 30, 30},
{30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30,
30, 30, 30, 30, 30, 30, 30, 30},
{30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30,
30, 30, 30, 30, 30, 30, 30, 30},
{30, 30, 30, 30, 30, 33, 33, 33, 33, 33, 33, 33, 33,
33, 33, 33, 33, 33, 33, 33, 33},
{30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30,
30, 30, 30, 30, 30, 30, 30, 30},
{30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30,
30, 30, 30, 30, 30, 30, 30, 30},
{30, 30, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27,
27, 27, 27, 27, 27, 27, 27, 27},
{30, 33, 33, 33, 33, 30, 30, 33, 33, 33, 33, 33, 33,
33, 33, 33, 33, 33, 33, 33, 33},
{30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30,
30, 30, 30, 30, 30, 30, 30, 30},
{30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30,
30, 30, 30, 30, 30, 30, 30, 30},
{30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30,
30, 30, 30, 30, 30, 30, 30, 30}}
Union /@ %
{{30}, {30, 33}, {30, 33}, {30}, {30, 33}, {30}, {30},
{30}, {30}, {27, 30}, {30}, {30}, {30, 33}, {30}, {30},
{27, 30}, {30, 33}, {30}, {30}, {30}}
{30}, {30}, {27, 30}, {30}, {30}, {30, 33}, {30}, {30},
{27, 30}, {30, 33}, {30}, {30}, {30}}