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On this page are computer-accessible forms for the graph C4[ 381, 1 ] = C_381(1,128).

(I) Following is a form readable by MAGMA:

g:=Graph<381|{ {2, 3}, {380, 381}, {378, 379}, {376, 377}, {374, 375}, {372, 373}, {370, 371}, {368, 369}, {366, 367}, {364, 365}, {362, 363}, {360, 361}, {358, 359}, {356, 357}, {354, 355}, {352, 353}, {350, 351}, {348, 349}, {346, 347}, {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}, {254, 255}, {252, 253}, {250, 251}, {248, 249}, {246, 247}, {244, 245}, {242, 243}, {240, 241}, {238, 239}, {236, 237}, {234, 235}, {232, 233}, {230, 231}, {228, 229}, {226, 227}, {224, 225}, {222, 223}, {220, 221}, {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}, {72, 73}, {70, 71}, {68, 69}, {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}, {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}, {1, 2}, {377, 378}, {373, 374}, {369, 370}, {365, 366}, {361, 362}, {357, 358}, {353, 354}, {349, 350}, {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}, {253, 254}, {249, 250}, {245, 246}, {241, 242}, {237, 238}, {233, 234}, {229, 230}, {225, 226}, {221, 222}, {109, 110}, {105, 106}, {101, 102}, {97, 98}, {93, 94}, {89, 90}, {85, 86}, {81, 82}, {77, 78}, {73, 74}, {69, 70}, {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}, {113, 114}, {117, 118}, {121, 122}, {125, 126}, {129, 130}, {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}, {3, 4}, {379, 380}, {371, 372}, {363, 364}, {355, 356}, {347, 348}, {339, 340}, {331, 332}, {323, 324}, {315, 316}, {307, 308}, {299, 300}, {291, 292}, {283, 284}, {275, 276}, {267, 268}, {259, 260}, {251, 252}, {243, 244}, {235, 236}, {227, 228}, {107, 108}, {99, 100}, {91, 92}, {83, 84}, {75, 76}, {67, 68}, {11, 12}, {19, 20}, {27, 28}, {35, 36}, {43, 44}, {51, 52}, {59, 60}, {115, 116}, {123, 124}, {131, 132}, {139, 140}, {147, 148}, {155, 156}, {163, 164}, {171, 172}, {179, 180}, {187, 188}, {195, 196}, {203, 204}, {211, 212}, {219, 220}, {7, 8}, {375, 376}, {359, 360}, {343, 344}, {327, 328}, {311, 312}, {295, 296}, {279, 280}, {263, 264}, {247, 248}, {231, 232}, {103, 104}, {87, 88}, {71, 72}, {23, 24}, {39, 40}, {55, 56}, {119, 120}, {135, 136}, {151, 152}, {167, 168}, {183, 184}, {199, 200}, {215, 216}, {15, 16}, {367, 368}, {335, 336}, {303, 304}, {271, 272}, {239, 240}, {79, 80}, {47, 48}, {111, 112}, {143, 144}, {175, 176}, {207, 208}, {31, 32}, {351, 352}, {287, 288}, {223, 224}, {95, 96}, {159, 160}, {63, 64}, {319, 320}, {191, 192}, {1, 129}, {110, 238}, {109, 237}, {108, 236}, {107, 235}, {106, 234}, {105, 233}, {104, 232}, {103, 231}, {102, 230}, {101, 229}, {100, 228}, {99, 227}, {98, 226}, {97, 225}, {96, 224}, {95, 223}, {94, 222}, {93, 221}, {92, 220}, {91, 219}, {90, 218}, {89, 217}, {88, 216}, {87, 215}, {86, 214}, {85, 213}, {84, 212}, {83, 211}, {82, 210}, {81, 209}, {80, 208}, {79, 207}, {78, 206}, {77, 205}, {76, 204}, {75, 203}, {74, 202}, {73, 201}, {72, 200}, {71, 199}, {70, 198}, {69, 197}, {68, 196}, {67, 195}, {66, 194}, {2, 130}, {3, 131}, {4, 132}, {5, 133}, {6, 134}, {7, 135}, {8, 136}, {9, 137}, {10, 138}, {11, 139}, {12, 140}, {13, 141}, {14, 142}, {15, 143}, {16, 144}, {17, 145}, {18, 146}, {19, 147}, {20, 148}, {21, 149}, {22, 150}, {23, 151}, {24, 152}, {25, 153}, {26, 154}, {27, 155}, {28, 156}, {29, 157}, {30, 158}, {31, 159}, {32, 160}, {33, 161}, {34, 162}, {35, 163}, {36, 164}, {37, 165}, {38, 166}, {39, 167}, {40, 168}, {41, 169}, {42, 170}, {43, 171}, {44, 172}, {45, 173}, {46, 174}, {47, 175}, {48, 176}, {49, 177}, {50, 178}, {51, 179}, {52, 180}, {53, 181}, {54, 182}, {55, 183}, {56, 184}, {57, 185}, {58, 186}, {59, 187}, {60, 188}, {61, 189}, {62, 190}, {63, 191}, {64, 192}, {65, 193}, {111, 239}, {112, 240}, {113, 241}, {114, 242}, {115, 243}, {116, 244}, {117, 245}, {118, 246}, {119, 247}, {120, 248}, {121, 249}, {122, 250}, {123, 251}, {124, 252}, {125, 253}, {126, 254}, {127, 255}, {2, 255}, {1, 254}, {127, 128}, {3, 256}, {107, 360}, {103, 356}, {99, 352}, {95, 348}, {91, 344}, {87, 340}, {83, 336}, {79, 332}, {75, 328}, {71, 324}, {67, 320}, {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}, {111, 364}, {115, 368}, {119, 372}, {123, 376}, {127, 380}, {4, 257}, {108, 361}, {102, 355}, {100, 353}, {94, 347}, {92, 345}, {86, 339}, {84, 337}, {78, 331}, {76, 329}, {70, 323}, {68, 321}, {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}, {110, 363}, {116, 369}, {118, 371}, {124, 377}, {126, 379}, {5, 258}, {109, 362}, {101, 354}, {93, 346}, {85, 338}, {77, 330}, {69, 322}, {13, 266}, {21, 274}, {29, 282}, {37, 290}, {45, 298}, {53, 306}, {61, 314}, {117, 370}, {125, 378}, {8, 261}, {106, 359}, {104, 357}, {90, 343}, {88, 341}, {74, 327}, {72, 325}, {10, 263}, {24, 277}, {26, 279}, {40, 293}, {42, 295}, {56, 309}, {58, 311}, {120, 373}, {122, 375}, {9, 262}, {105, 358}, {89, 342}, {73, 326}, {25, 278}, {41, 294}, {57, 310}, {121, 374}, {16, 269}, {82, 335}, {80, 333}, {18, 271}, {48, 301}, {50, 303}, {112, 365}, {114, 367}, {17, 270}, {81, 334}, {49, 302}, {113, 366}, {32, 285}, {98, 351}, {96, 349}, {34, 287}, {33, 286}, {97, 350}, {1, 381}, {64, 317}, {66, 319}, {65, 318}, {128, 256}, {253, 381}, {252, 380}, {251, 379}, {250, 378}, {249, 377}, {248, 376}, {247, 375}, {246, 374}, {245, 373}, {244, 372}, {243, 371}, {242, 370}, {241, 369}, {240, 368}, {239, 367}, {238, 366}, {237, 365}, {236, 364}, {235, 363}, {234, 362}, {233, 361}, {232, 360}, {231, 359}, {230, 358}, {229, 357}, {228, 356}, {227, 355}, {226, 354}, {225, 353}, {224, 352}, {223, 351}, {222, 350}, {221, 349}, {220, 348}, {219, 347}, {129, 257}, {130, 258}, {131, 259}, {132, 260}, {133, 261}, {134, 262}, {135, 263}, {136, 264}, {137, 265}, {138, 266}, {139, 267}, {140, 268}, {141, 269}, {142, 270}, {143, 271}, {144, 272}, {145, 273}, {146, 274}, {147, 275}, {148, 276}, {149, 277}, {150, 278}, {151, 279}, {152, 280}, {153, 281}, {154, 282}, {155, 283}, {156, 284}, {157, 285}, {158, 286}, {159, 287}, {160, 288}, {161, 289}, {162, 290}, {163, 291}, {164, 292}, {165, 293}, {166, 294}, {167, 295}, {168, 296}, {169, 297}, {170, 298}, {171, 299}, {172, 300}, {173, 301}, {174, 302}, {175, 303}, {176, 304}, {177, 305}, {178, 306}, {179, 307}, {180, 308}, {181, 309}, {182, 310}, {183, 311}, {184, 312}, {185, 313}, {186, 314}, {187, 315}, {188, 316}, {189, 317}, {190, 318}, {191, 319}, {192, 320}, {193, 321}, {194, 322}, {195, 323}, {196, 324}, {197, 325}, {198, 326}, {199, 327}, {200, 328}, {201, 329}, {202, 330}, {203, 331}, {204, 332}, {205, 333}, {206, 334}, {207, 335}, {208, 336}, {209, 337}, {210, 338}, {211, 339}, {212, 340}, {213, 341}, {214, 342}, {215, 343}, {216, 344}, {217, 345}, {218, 346}, {128, 381}, {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, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381)
b: (2, 254)(3, 126)(4, 379)(5, 251)(6, 123)(7, 376)(8, 248)(9, 120)(10, 373)(11, 245)(12, 117)(13, 370)(14, 242)(15, 114)(16, 367)(17, 239)(18, 111)(19, 364)(20, 236)(21, 108)(22, 361)(23, 233)(24, 105)(25, 358)(26, 230)(27, 102)(28, 355)(29, 227)(30, 99)(31, 352)(32, 224)(33, 96)(34, 349)(35, 221)(36, 93)(37, 346)(38, 218)(39, 90)(40, 343)(41, 215)(42, 87)(43, 340)(44, 212)(45, 84)(46, 337)(47, 209)(48, 81)(49, 334)(50, 206)(51, 78)(52, 331)(53, 203)(54, 75)(55, 328)(56, 200)(57, 72)(58, 325)(59, 197)(60, 69)(61, 322)(62, 194)(63, 66)(64, 319)(65, 191)(67, 316)(68, 188)(70, 313)(71, 185)(73, 310)(74, 182)(76, 307)(77, 179)(79, 304)(80, 176)(82, 301)(83, 173)(85, 298)(86, 170)(88, 295)(89, 167)(91, 292)(92, 164)(94, 289)(95, 161)(97, 286)(98, 158)(100, 283)(101, 155)(103, 280)(104, 152)(106, 277)(107, 149)(109, 274)(110, 146)(112, 271)(113, 143)(115, 268)(116, 140)(118, 265)(119, 137)(121, 262)(122, 134)(124, 259)(125, 131)(127, 256)(129, 381)(130, 253)(132, 378)(133, 250)(135, 375)(136, 247)(138, 372)(139, 244)(141, 369)(142, 241)(144, 366)(145, 238)(147, 363)(148, 235)(150, 360)(151, 232)(153, 357)(154, 229)(156, 354)(157, 226)(159, 351)(160, 223)(162, 348)(163, 220)(165, 345)(166, 217)(168, 342)(169, 214)(171, 339)(172, 211)(174, 336)(175, 208)(177, 333)(178, 205)(180, 330)(181, 202)(183, 327)(184, 199)(186, 324)(187, 196)(189, 321)(190, 193)(192, 318)(195, 315)(198, 312)(201, 309)(204, 306)(207, 303)(210, 300)(213, 297)(216, 294)(219, 291)(222, 288)(225, 285)(228, 282)(231, 279)(234, 276)(237, 273)(240, 270)(243, 267)(246, 264)(249, 261)(252, 258)(257, 380)(260, 377)(263, 374)(266, 371)(269, 368)(272, 365)(275, 362)(278, 359)(281, 356)(284, 353)(287, 350)(290, 347)(293, 344)(296, 341)(299, 338)(302, 335)(305, 332)(308, 329)(311, 326)(314, 323)(317, 320)
c: (2, 129)(3, 257)(5, 132)(6, 260)(8, 135)(9, 263)(11, 138)(12, 266)(14, 141)(15, 269)(17, 144)(18, 272)(20, 147)(21, 275)(23, 150)(24, 278)(26, 153)(27, 281)(29, 156)(30, 284)(32, 159)(33, 287)(35, 162)(36, 290)(38, 165)(39, 293)(41, 168)(42, 296)(44, 171)(45, 299)(47, 174)(48, 302)(50, 177)(51, 305)(53, 180)(54, 308)(56, 183)(57, 311)(59, 186)(60, 314)(62, 189)(63, 317)(65, 192)(66, 320)(68, 195)(69, 323)(71, 198)(72, 326)(74, 201)(75, 329)(77, 204)(78, 332)(80, 207)(81, 335)(83, 210)(84, 338)(86, 213)(87, 341)(89, 216)(90, 344)(92, 219)(93, 347)(95, 222)(96, 350)(98, 225)(99, 353)(101, 228)(102, 356)(104, 231)(105, 359)(107, 234)(108, 362)(110, 237)(111, 365)(113, 240)(114, 368)(116, 243)(117, 371)(119, 246)(120, 374)(122, 249)(123, 377)(125, 252)(126, 380)(128, 255)(131, 258)(134, 261)(137, 264)(140, 267)(143, 270)(146, 273)(149, 276)(152, 279)(155, 282)(158, 285)(161, 288)(164, 291)(167, 294)(170, 297)(173, 300)(176, 303)(179, 306)(182, 309)(185, 312)(188, 315)(191, 318)(194, 321)(197, 324)(200, 327)(203, 330)(206, 333)(209, 336)(212, 339)(215, 342)(218, 345)(221, 348)(224, 351)(227, 354)(230, 357)(233, 360)(236, 363)(239, 366)(242, 369)(245, 372)(248, 375)(251, 378)(254, 381)

(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.

**************

&Graph
C4[ 381, 1 ]
381
-1 254 2 381 129
-2 1 255 3 130
-3 2 256 4 131
-4 132 3 257 5
-5 133 4 258 6
-6 134 5 259 7
-7 135 6 260 8
-8 136 7 261 9
-9 137 8 262 10
-10 11 138 9 263
-11 264 12 139 10
-12 11 265 13 140
-13 12 266 14 141
-14 13 267 15 142
-15 143 14 268 16
-16 144 15 269 17
-17 145 16 270 18
-18 146 17 271 19
-19 147 18 272 20
-20 148 19 273 21
-21 22 149 20 274
-22 275 23 150 21
-23 22 276 24 151
-24 23 277 25 152
-25 24 278 26 153
-26 154 25 279 27
-27 155 26 280 28
-28 156 27 281 29
-29 157 28 282 30
-30 158 29 283 31
-31 159 30 284 32
-32 33 160 31 285
-33 286 34 161 32
-34 33 287 35 162
-35 34 288 36 163
-36 35 289 37 164
-37 165 36 290 38
-38 166 37 291 39
-39 167 38 292 40
-40 168 39 293 41
-41 169 40 294 42
-42 170 41 295 43
-43 44 171 42 296
-44 297 45 172 43
-45 44 298 46 173
-46 45 299 47 174
-47 46 300 48 175
-48 176 47 301 49
-49 177 48 302 50
-50 178 49 303 51
-51 179 50 304 52
-52 180 51 305 53
-53 181 52 306 54
-54 55 182 53 307
-55 308 56 183 54
-56 55 309 57 184
-57 56 310 58 185
-58 57 311 59 186
-59 187 58 312 60
-60 188 59 313 61
-61 189 60 314 62
-62 190 61 315 63
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-64 192 63 317 65
-65 66 193 64 318
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-67 66 320 68 195
-68 67 321 69 196
-69 68 322 70 197
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-73 201 72 326 74
-74 202 73 327 75
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-86 214 85 339 87
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-89 88 342 90 217
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-96 224 95 349 97
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-113 112 366 114 241
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-116 244 115 369 117
-117 245 116 370 118
-118 246 117 371 119
-119 247 118 372 120
-120 121 248 119 373
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-122 121 375 123 250
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-128 256 127 381 129
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-183 55 311 182 184
-184 56 312 183 185
-185 57 313 184 186
-186 187 58 314 185
-187 188 59 315 186
-188 187 189 60 316
-189 188 190 61 317
-190 189 191 62 318
-191 319 190 192 63
-192 320 191 193 64
-193 321 192 194 65
-194 66 322 193 195
-195 67 323 194 196
-196 68 324 195 197
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-201 200 202 73 329
-202 330 201 203 74
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-214 342 213 215 86
-215 343 214 216 87
-216 88 344 215 217
-217 89 345 216 218
-218 90 346 217 219
-219 220 91 347 218
-220 221 92 348 219
-221 220 222 93 349
-222 221 223 94 350
-223 222 224 95 351
-224 352 223 225 96
-225 353 224 226 97
-226 354 225 227 98
-227 99 355 226 228
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-229 101 357 228 230
-230 231 102 358 229
-231 232 103 359 230
-232 231 233 104 360
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-240 112 368 239 241
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-243 242 244 115 371
-244 243 245 116 372
-245 244 246 117 373
-246 374 245 247 118
-247 375 246 248 119
-248 376 247 249 120
-249 121 377 248 250
-250 122 378 249 251
-251 123 379 250 252
-252 253 124 380 251
-253 254 125 381 252
-254 253 1 255 126
-255 254 2 256 127
-256 255 3 257 128
-257 256 4 258 129
-258 257 5 259 130
-259 258 6 260 131
-260 132 259 7 261
-261 133 260 8 262
-262 134 261 9 263
-263 264 135 262 10
-264 11 265 136 263
-265 264 12 266 137
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0

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