C4graphGraph forms for C4 [ 346, 2 ] = C_346(1,93)

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On this page are computer-accessible forms for the graph C4[ 346, 2 ] = C_346(1,93).

(I) Following is a form readable by MAGMA:

g:=Graph<346|{ {2, 3}, {344, 345}, {342, 343}, {340, 341}, {338, 339}, {336, 337}, {334, 335}, {332, 333}, {330, 331}, {328, 329}, {326, 327}, {324, 325}, {322, 323}, {320, 321}, {318, 319}, {316, 317}, {314, 315}, {312, 313}, {310, 311}, {308, 309}, {306, 307}, {304, 305}, {302, 303}, {300, 301}, {298, 299}, {296, 297}, {294, 295}, {292, 293}, {290, 291}, {288, 289}, {286, 287}, {284, 285}, {282, 283}, {280, 281}, {278, 279}, {276, 277}, {274, 275}, {272, 273}, {270, 271}, {268, 269}, {266, 267}, {264, 265}, {262, 263}, {260, 261}, {258, 259}, {256, 257}, {128, 129}, {126, 127}, {124, 125}, {122, 123}, {120, 121}, {118, 119}, {116, 117}, {114, 115}, {112, 113}, {110, 111}, {108, 109}, {106, 107}, {104, 105}, {102, 103}, {100, 101}, {98, 99}, {96, 97}, {94, 95}, {92, 93}, {90, 91}, {88, 89}, {86, 87}, {84, 85}, {82, 83}, {80, 81}, {78, 79}, {76, 77}, {74, 75}, {4, 5}, {6, 7}, {8, 9}, {10, 11}, {12, 13}, {14, 15}, {16, 17}, {18, 19}, {20, 21}, {22, 23}, {24, 25}, {26, 27}, {28, 29}, {30, 31}, {32, 33}, {34, 35}, {36, 37}, {38, 39}, {40, 41}, {42, 43}, {44, 45}, {46, 47}, {48, 49}, {50, 51}, {52, 53}, {54, 55}, {56, 57}, {58, 59}, {60, 61}, {62, 63}, {64, 65}, {66, 67}, {68, 69}, {70, 71}, {72, 73}, {130, 131}, {132, 133}, {134, 135}, {136, 137}, {138, 139}, {140, 141}, {142, 143}, {144, 145}, {146, 147}, {148, 149}, {150, 151}, {152, 153}, {154, 155}, {156, 157}, {158, 159}, {160, 161}, {162, 163}, {164, 165}, {166, 167}, {168, 169}, {170, 171}, {172, 173}, {174, 175}, {176, 177}, {178, 179}, {180, 181}, {182, 183}, {184, 185}, {186, 187}, {188, 189}, {190, 191}, {192, 193}, {194, 195}, {196, 197}, {198, 199}, {200, 201}, {202, 203}, {204, 205}, {206, 207}, {208, 209}, {210, 211}, {212, 213}, {214, 215}, {216, 217}, {218, 219}, {220, 221}, {222, 223}, {224, 225}, {226, 227}, {228, 229}, {230, 231}, {232, 233}, {234, 235}, {236, 237}, {238, 239}, {240, 241}, {242, 243}, {244, 245}, {246, 247}, {248, 249}, {250, 251}, {252, 253}, {254, 255}, {1, 2}, {345, 346}, {341, 342}, {337, 338}, {333, 334}, {329, 330}, {325, 326}, {321, 322}, {317, 318}, {313, 314}, {309, 310}, {305, 306}, {301, 302}, {297, 298}, {293, 294}, {289, 290}, {285, 286}, {281, 282}, {277, 278}, {273, 274}, {269, 270}, {265, 266}, {261, 262}, {257, 258}, {129, 130}, {125, 126}, {121, 122}, {117, 118}, {113, 114}, {109, 110}, {105, 106}, {101, 102}, {97, 98}, {93, 94}, {89, 90}, {85, 86}, {81, 82}, {77, 78}, {73, 74}, {5, 6}, {9, 10}, {13, 14}, {17, 18}, {21, 22}, {25, 26}, {29, 30}, {33, 34}, {37, 38}, {41, 42}, {45, 46}, {49, 50}, {53, 54}, {57, 58}, {61, 62}, {65, 66}, {69, 70}, {133, 134}, {137, 138}, {141, 142}, {145, 146}, {149, 150}, {153, 154}, {157, 158}, {161, 162}, {165, 166}, {169, 170}, {173, 174}, {177, 178}, {181, 182}, {185, 186}, {189, 190}, {193, 194}, {197, 198}, {201, 202}, {205, 206}, {209, 210}, {213, 214}, {217, 218}, {221, 222}, {225, 226}, {229, 230}, {233, 234}, {237, 238}, {241, 242}, {245, 246}, {249, 250}, {253, 254}, {3, 4}, {339, 340}, {331, 332}, {323, 324}, {315, 316}, {307, 308}, {299, 300}, {291, 292}, {283, 284}, {275, 276}, {267, 268}, {259, 260}, {123, 124}, {115, 116}, {107, 108}, {99, 100}, {91, 92}, {83, 84}, {75, 76}, {11, 12}, {19, 20}, {27, 28}, {35, 36}, {43, 44}, {51, 52}, {59, 60}, {67, 68}, {131, 132}, {139, 140}, {147, 148}, {155, 156}, {163, 164}, {171, 172}, {179, 180}, {187, 188}, {195, 196}, {203, 204}, {211, 212}, {219, 220}, {227, 228}, {235, 236}, {243, 244}, {251, 252}, {7, 8}, {343, 344}, {327, 328}, {311, 312}, {295, 296}, {279, 280}, {263, 264}, {119, 120}, {103, 104}, {87, 88}, {23, 24}, {39, 40}, {55, 56}, {71, 72}, {135, 136}, {151, 152}, {167, 168}, {183, 184}, {199, 200}, {215, 216}, {231, 232}, {247, 248}, {15, 16}, {335, 336}, {303, 304}, {271, 272}, {111, 112}, {79, 80}, {47, 48}, {143, 144}, {175, 176}, {207, 208}, {239, 240}, {31, 32}, {287, 288}, {95, 96}, {159, 160}, {223, 224}, {2, 95}, {128, 221}, {32, 125}, {34, 127}, {130, 223}, {160, 253}, {162, 255}, {1, 94}, {33, 126}, {129, 222}, {161, 254}, {3, 96}, {7, 100}, {11, 104}, {15, 108}, {19, 112}, {23, 116}, {27, 120}, {31, 124}, {131, 224}, {135, 228}, {139, 232}, {143, 236}, {147, 240}, {151, 244}, {155, 248}, {159, 252}, {4, 97}, {6, 99}, {12, 105}, {14, 107}, {20, 113}, {22, 115}, {28, 121}, {30, 123}, {132, 225}, {134, 227}, {140, 233}, {142, 235}, {148, 241}, {150, 243}, {156, 249}, {158, 251}, {5, 98}, {13, 106}, {21, 114}, {29, 122}, {133, 226}, {141, 234}, {149, 242}, {157, 250}, {8, 101}, {10, 103}, {24, 117}, {26, 119}, {136, 229}, {138, 231}, {152, 245}, {154, 247}, {9, 102}, {25, 118}, {137, 230}, {153, 246}, {16, 109}, {18, 111}, {144, 237}, {146, 239}, {17, 110}, {319, 320}, {63, 64}, {145, 238}, {191, 192}, {35, 128}, {127, 220}, {123, 216}, {119, 212}, {115, 208}, {111, 204}, {107, 200}, {103, 196}, {99, 192}, {39, 132}, {43, 136}, {47, 140}, {51, 144}, {55, 148}, {59, 152}, {63, 156}, {36, 129}, {126, 219}, {124, 217}, {118, 211}, {116, 209}, {110, 203}, {108, 201}, {102, 195}, {100, 193}, {38, 131}, {44, 137}, {46, 139}, {52, 145}, {54, 147}, {60, 153}, {62, 155}, {37, 130}, {125, 218}, {117, 210}, {109, 202}, {101, 194}, {45, 138}, {53, 146}, {61, 154}, {40, 133}, {122, 215}, {120, 213}, {106, 199}, {104, 197}, {42, 135}, {56, 149}, {58, 151}, {41, 134}, {121, 214}, {105, 198}, {57, 150}, {48, 141}, {114, 207}, {112, 205}, {50, 143}, {49, 142}, {113, 206}, {64, 157}, {98, 191}, {96, 189}, {66, 159}, {65, 158}, {97, 190}, {67, 160}, {95, 188}, {91, 184}, {87, 180}, {83, 176}, {79, 172}, {75, 168}, {71, 164}, {68, 161}, {94, 187}, {92, 185}, {86, 179}, {84, 177}, {78, 171}, {76, 169}, {70, 163}, {69, 162}, {93, 186}, {85, 178}, {77, 170}, {72, 165}, {90, 183}, {88, 181}, {74, 167}, {73, 166}, {89, 182}, {2, 255}, {82, 175}, {80, 173}, {1, 254}, {127, 128}, {81, 174}, {3, 256}, {91, 344}, {87, 340}, {83, 336}, {79, 332}, {75, 328}, {7, 260}, {11, 264}, {15, 268}, {19, 272}, {23, 276}, {27, 280}, {31, 284}, {35, 288}, {39, 292}, {43, 296}, {47, 300}, {51, 304}, {55, 308}, {59, 312}, {63, 316}, {67, 320}, {71, 324}, {4, 257}, {92, 345}, {86, 339}, {84, 337}, {78, 331}, {76, 329}, {6, 259}, {12, 265}, {14, 267}, {20, 273}, {22, 275}, {28, 281}, {30, 283}, {36, 289}, {38, 291}, {44, 297}, {46, 299}, {52, 305}, {54, 307}, {60, 313}, {62, 315}, {68, 321}, {70, 323}, {5, 258}, {93, 346}, {85, 338}, {77, 330}, {13, 266}, {21, 274}, {29, 282}, {37, 290}, {45, 298}, {53, 306}, {61, 314}, {69, 322}, {8, 261}, {90, 343}, {88, 341}, {74, 327}, {10, 263}, {24, 277}, {26, 279}, {40, 293}, {42, 295}, {56, 309}, {58, 311}, {72, 325}, {9, 262}, {89, 342}, {73, 326}, {25, 278}, {41, 294}, {57, 310}, {16, 269}, {82, 335}, {80, 333}, {18, 271}, {48, 301}, {50, 303}, {17, 270}, {81, 334}, {49, 302}, {32, 285}, {34, 287}, {33, 286}, {1, 346}, {64, 317}, {66, 319}, {65, 318}, {163, 256}, {167, 260}, {171, 264}, {175, 268}, {179, 272}, {183, 276}, {187, 280}, {191, 284}, {227, 320}, {231, 324}, {235, 328}, {239, 332}, {243, 336}, {247, 340}, {251, 344}, {164, 257}, {166, 259}, {172, 265}, {174, 267}, {180, 273}, {182, 275}, {188, 281}, {190, 283}, {228, 321}, {230, 323}, {236, 329}, {238, 331}, {244, 337}, {246, 339}, {252, 345}, {165, 258}, {173, 266}, {181, 274}, {189, 282}, {229, 322}, {237, 330}, {245, 338}, {253, 346}, {168, 261}, {170, 263}, {184, 277}, {186, 279}, {232, 325}, {234, 327}, {248, 341}, {250, 343}, {169, 262}, {185, 278}, {233, 326}, {249, 342}, {176, 269}, {178, 271}, {240, 333}, {242, 335}, {177, 270}, {241, 334}, {192, 285}, {194, 287}, {224, 317}, {226, 319}, {193, 286}, {225, 318}, {195, 288}, {199, 292}, {203, 296}, {207, 300}, {211, 304}, {215, 308}, {219, 312}, {223, 316}, {196, 289}, {198, 291}, {204, 297}, {206, 299}, {212, 305}, {214, 307}, {220, 313}, {222, 315}, {197, 290}, {205, 298}, {213, 306}, {221, 314}, {200, 293}, {202, 295}, {216, 309}, {218, 311}, {201, 294}, {217, 310}, {208, 301}, {210, 303}, {209, 302}, {255, 256} }>;

(II) A more general form is to represent the graph as the orbit of {2, 3} under the group generated by the following permutations:

a: (1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346)
b: (2, 254, 346, 94)(3, 161, 345, 187)(4, 68, 344, 280)(5, 321, 343, 27)(6, 228, 342, 120)(7, 135, 341, 213)(8, 42, 340, 306)(9, 295, 339, 53)(10, 202, 338, 146)(11, 109, 337, 239)(12, 16, 336, 332)(13, 269, 335, 79)(14, 176, 334, 172)(15, 83, 333, 265)(17, 243, 331, 105)(18, 150, 330, 198)(19, 57, 329, 291)(20, 310, 328, 38)(21, 217, 327, 131)(22, 124, 326, 224)(23, 31, 325, 317)(24, 284, 324, 64)(25, 191, 323, 157)(26, 98, 322, 250)(28, 258, 320, 90)(29, 165, 319, 183)(30, 72, 318, 276)(32, 232, 316, 116)(33, 139, 315, 209)(34, 46, 314, 302)(35, 299, 313, 49)(36, 206, 312, 142)(37, 113, 311, 235)(39, 273, 309, 75)(40, 180, 308, 168)(41, 87, 307, 261)(43, 247, 305, 101)(44, 154, 304, 194)(45, 61, 303, 287)(47, 221, 301, 127)(48, 128, 300, 220)(50, 288, 298, 60)(51, 195, 297, 153)(52, 102, 296, 246)(54, 262, 294, 86)(55, 169, 293, 179)(56, 76, 292, 272)(58, 236, 290, 112)(59, 143, 289, 205)(62, 210, 286, 138)(63, 117, 285, 231)(65, 277, 283, 71)(66, 184, 282, 164)(67, 91, 281, 257)(69, 251, 279, 97)(70, 158, 278, 190)(73, 225, 275, 123)(74, 132, 274, 216)(77, 199, 271, 149)(78, 106, 270, 242)(80, 266, 268, 82)(81, 173, 267, 175)(84, 240, 264, 108)(85, 147, 263, 201)(88, 214, 260, 134)(89, 121, 259, 227)(92, 188, 256, 160)(93, 95, 255, 253)(96, 162, 252, 186)(99, 229, 249, 119)(100, 136, 248, 212)(103, 203, 245, 145)(104, 110, 244, 238)(107, 177, 241, 171)(111, 151, 237, 197)(114, 218, 234, 130)(115, 125, 233, 223)(118, 192, 230, 156)(122, 166, 226, 182)(126, 140, 222, 208)(129, 207, 219, 141)(133, 181, 215, 167)(137, 155, 211, 193)(144, 196, 204, 152)(148, 170, 200, 178)(159, 185, 189, 163)

(III) Last is Groups&Graphs. Copy everything between (not including) the lines of asterisks into a plain text file and save it as "graph.txt". Then launch G&G (Groups&Graphs) and select Read Text from the File menu.

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&Graph
C4[ 346, 2 ]
346
-1 254 2 346 94
-2 1 255 3 95
-3 2 256 4 96
-4 3 257 5 97
-5 4 258 6 98
-6 99 5 259 7
-7 100 6 260 8
-8 101 7 261 9
-9 102 8 262 10
-10 11 103 9 263
-11 264 12 104 10
-12 11 265 13 105
-13 12 266 14 106
-14 13 267 15 107
-15 14 268 16 108
-16 15 269 17 109
-17 110 16 270 18
-18 111 17 271 19
-19 112 18 272 20
-20 113 19 273 21
-21 22 114 20 274
-22 275 23 115 21
-23 22 276 24 116
-24 23 277 25 117
-25 24 278 26 118
-26 25 279 27 119
-27 26 280 28 120
-28 121 27 281 29
-29 122 28 282 30
-30 123 29 283 31
-31 124 30 284 32
-32 33 125 31 285
-33 286 34 126 32
-34 33 287 35 127
-35 34 288 36 128
-36 35 289 37 129
-37 36 290 38 130
-38 37 291 39 131
-39 132 38 292 40
-40 133 39 293 41
-41 134 40 294 42
-42 135 41 295 43
-43 44 136 42 296
-44 297 45 137 43
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-46 45 299 47 139
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-345 344 92 346 252
-346 253 1 345 93
0

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