C4graphGraph forms for C4 [ 300, 2 ] = C_300(1,49)

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On this page are computer-accessible forms for the graph C4[ 300, 2 ] = C_300(1,49).

(I) Following is a form readable by MAGMA:

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

(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[ 300, 2 ]
300
-1 2 300 50 252
-2 253 1 3 51
-3 254 2 4 52
-4 255 3 5 53
-5 256 4 6 54
-6 55 257 5 7
-7 56 258 6 8
-8 57 259 7 9
-9 58 260 8 10
-10 11 59 261 9
-11 12 60 262 10
-12 11 13 61 263
-13 264 12 14 62
-14 265 13 15 63
-15 266 14 16 64
-16 267 15 17 65
-17 66 268 16 18
-18 67 269 17 19
-19 68 270 18 20
-20 69 271 19 21
-21 22 70 272 20
-22 23 71 273 21
-23 22 24 72 274
-24 275 23 25 73
-25 276 24 26 74
-26 277 25 27 75
-27 278 26 28 76
-28 77 279 27 29
-29 78 280 28 30
-30 79 281 29 31
-31 80 282 30 32
-32 33 81 283 31
-33 34 82 284 32
-34 33 35 83 285
-35 286 34 36 84
-36 287 35 37 85
-37 288 36 38 86
-38 289 37 39 87
-39 88 290 38 40
-40 89 291 39 41
-41 90 292 40 42
-42 91 293 41 43
-43 44 92 294 42
-44 45 93 295 43
-45 44 46 94 296
-46 297 45 47 95
-47 298 46 48 96
-48 299 47 49 97
-49 300 48 50 98
-50 99 1 49 51
-51 100 2 50 52
-52 101 3 51 53
-53 102 4 52 54
-54 55 103 5 53
-55 56 104 6 54
-56 55 57 105 7
-57 56 58 106 8
-58 57 59 107 9
-59 58 60 108 10
-60 11 59 61 109
-61 110 12 60 62
-62 111 13 61 63
-63 112 14 62 64
-64 113 15 63 65
-65 66 114 16 64
-66 67 115 17 65
-67 66 68 116 18
-68 67 69 117 19
-69 68 70 118 20
-70 69 71 119 21
-71 22 70 72 120
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-75 124 26 74 76
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-90 89 91 139 41
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-92 91 93 141 43
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-95 144 46 94 96
-96 145 47 95 97
-97 146 48 96 98
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-99 100 148 50 98
-100 99 101 149 51
-101 100 102 150 52
-102 101 103 151 53
-103 102 104 152 54
-104 55 103 105 153
-105 154 56 104 106
-106 155 57 105 107
-107 156 58 106 108
-108 157 59 107 109
-109 110 158 60 108
-110 111 159 61 109
-111 110 112 160 62
-112 111 113 161 63
-113 112 114 162 64
-114 113 115 163 65
-115 66 114 116 164
-116 165 67 115 117
-117 166 68 116 118
-118 167 69 117 119
-119 168 70 118 120
-120 121 169 71 119
-121 122 170 72 120
-122 121 123 171 73
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-126 77 125 127 175
-127 176 78 126 128
-128 177 79 127 129
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-220 221 269 171 219
-221 220 222 270 172
-222 221 223 271 173
-223 222 224 272 174
-224 223 225 273 175
-225 176 224 226 274
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-294 245 293 295 43
-295 44 246 294 296
-296 297 45 247 295
-297 298 46 248 296
-298 297 299 47 249
-299 298 300 48 250
-300 1 299 49 251
0

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