C4graphGraph forms for C4 [ 363, 2 ] = {4,4}_<22,11>

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On this page are computer-accessible forms for the graph C4[ 363, 2 ] = {4,4}_<22,11>.

(I) Following is a form readable by MAGMA:

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

(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[ 363, 2 ]
363
-1 33 34 342 2
-2 1 35 343 3
-3 2 36 344 4
-4 3 37 345 5
-5 4 38 346 6
-6 5 39 347 7
-7 6 40 348 8
-8 7 41 349 9
-9 8 42 350 10
-10 11 9 43 351
-11 44 352 12 10
-12 11 45 353 13
-13 12 46 354 14
-14 13 47 355 15
-15 14 48 356 16
-16 15 49 357 17
-17 16 50 358 18
-18 17 51 359 19
-19 18 52 360 20
-20 19 53 361 21
-21 22 20 54 362
-22 55 363 23 21
-23 22 56 331 24
-24 23 57 332 25
-25 24 58 333 26
-26 25 59 334 27
-27 26 60 335 28
-28 27 61 336 29
-29 28 62 337 30
-30 29 63 338 31
-31 30 64 339 32
-32 33 31 65 340
-33 66 341 1 32
-34 66 1 67 35
-35 34 2 68 36
-36 35 3 69 37
-37 36 4 70 38
-38 37 5 71 39
-39 38 6 72 40
-40 39 7 73 41
-41 40 8 74 42
-42 41 9 75 43
-43 44 42 10 76
-44 11 77 45 43
-45 44 12 78 46
-46 45 13 79 47
-47 46 14 80 48
-48 47 15 81 49
-49 48 16 82 50
-50 49 17 83 51
-51 50 18 84 52
-52 51 19 85 53
-53 52 20 86 54
-54 55 53 21 87
-55 22 88 56 54
-56 55 23 89 57
-57 56 24 90 58
-58 57 25 91 59
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-60 59 27 93 61
-61 60 28 94 62
-62 61 29 95 63
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-64 63 31 97 65
-65 66 64 32 98
-66 33 99 34 65
-67 99 34 100 68
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-100 132 67 133 101
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-192 191 159 225 193
-193 192 160 226 194
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-195 194 162 228 196
-196 195 163 229 197
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-212 211 179 245 213
-213 212 180 246 214
-214 213 181 247 215
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-219 220 218 186 252
-220 187 253 221 219
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-224 223 191 257 225
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-271 270 238 304 272
-272 271 239 305 273
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-274 275 273 241 307
-275 242 308 276 274
-276 275 243 309 277
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0

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