C4graphGraph forms for C4 [ 288, 12 ] = {4,4}_<38,34>

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On this page are computer-accessible forms for the graph C4[ 288, 12 ] = {4,4}_<38,34>.

(I) Following is a form readable by MAGMA:

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

(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[ 288, 12 ]
288
-1 144 2 145 219
-2 220 1 3 146
-3 221 2 4 147
-4 222 3 5 148
-5 223 4 6 149
-6 224 5 7 150
-7 225 6 8 151
-8 226 7 9 152
-9 227 8 10 153
-10 11 154 228 9
-11 12 155 229 10
-12 11 13 156 230
-13 231 12 14 157
-14 232 13 15 158
-15 233 14 16 159
-16 234 15 17 160
-17 235 16 18 161
-18 236 17 19 162
-19 237 18 20 163
-20 238 19 21 164
-21 22 165 239 20
-22 23 166 240 21
-23 22 24 167 241
-24 242 23 25 168
-25 243 24 26 169
-26 244 25 27 170
-27 245 26 28 171
-28 246 27 29 172
-29 247 28 30 173
-30 248 29 31 174
-31 249 30 32 175
-32 33 176 250 31
-33 34 177 251 32
-34 33 35 178 252
-35 253 34 36 179
-36 254 35 37 180
-37 255 36 38 181
-38 256 37 39 182
-39 257 38 40 183
-40 258 39 41 184
-41 259 40 42 185
-42 260 41 43 186
-43 44 187 261 42
-44 45 188 262 43
-45 44 46 189 263
-46 264 45 47 190
-47 265 46 48 191
-48 266 47 49 192
-49 267 48 50 193
-50 268 49 51 194
-51 269 50 52 195
-52 270 51 53 196
-53 271 52 54 197
-54 55 198 272 53
-55 56 199 273 54
-56 55 57 200 274
-57 275 56 58 201
-58 276 57 59 202
-59 277 58 60 203
-60 278 59 61 204
-61 279 60 62 205
-62 280 61 63 206
-63 281 62 64 207
-64 282 63 65 208
-65 66 209 283 64
-66 67 210 284 65
-67 66 68 211 285
-68 286 67 69 212
-69 287 68 70 213
-70 288 69 71 214
-71 145 70 72 215
-72 146 71 73 216
-73 147 72 74 217
-74 148 73 75 218
-75 149 74 76 219
-76 77 220 150 75
-77 78 221 151 76
-78 77 79 222 152
-79 78 80 223 153
-80 154 79 81 224
-81 155 80 82 225
-82 156 81 83 226
-83 157 82 84 227
-84 158 83 85 228
-85 159 84 86 229
-86 160 85 87 230
-87 88 231 161 86
-88 89 232 162 87
-89 88 90 233 163
-90 89 91 234 164
-91 165 90 92 235
-92 166 91 93 236
-93 167 92 94 237
-94 168 93 95 238
-95 169 94 96 239
-96 170 95 97 240
-97 171 96 98 241
-98 99 242 172 97
-99 100 243 173 98
-100 99 101 244 174
-101 100 102 245 175
-102 176 101 103 246
-103 177 102 104 247
-104 178 103 105 248
-105 179 104 106 249
-106 180 105 107 250
-107 181 106 108 251
-108 182 107 109 252
-109 110 253 183 108
-110 111 254 184 109
-111 110 112 255 185
-112 111 113 256 186
-113 187 112 114 257
-114 188 113 115 258
-115 189 114 116 259
-116 190 115 117 260
-117 191 116 118 261
-118 192 117 119 262
-119 193 118 120 263
-120 121 264 194 119
-121 122 265 195 120
-122 121 123 266 196
-123 122 124 267 197
-124 198 123 125 268
-125 199 124 126 269
-126 200 125 127 270
-127 201 126 128 271
-128 202 127 129 272
-129 203 128 130 273
-130 204 129 131 274
-131 132 275 205 130
-132 133 276 206 131
-133 132 134 277 207
-134 133 135 278 208
-135 209 134 136 279
-136 210 135 137 280
-137 211 136 138 281
-138 212 137 139 282
-139 213 138 140 283
-140 214 139 141 284
-141 215 140 142 285
-142 143 286 216 141
-143 144 287 217 142
-144 143 1 288 218
-145 1 288 146 71
-146 2 145 147 72
-147 3 146 148 73
-148 4 147 149 74
-149 5 148 150 75
-150 6 149 151 76
-151 77 7 150 152
-152 78 8 151 153
-153 154 79 9 152
-154 155 80 10 153
-155 11 154 156 81
-156 12 155 157 82
-157 13 156 158 83
-158 14 157 159 84
-159 15 158 160 85
-160 16 159 161 86
-161 17 160 162 87
-162 88 18 161 163
-163 89 19 162 164
-164 165 90 20 163
-165 166 91 21 164
-166 22 165 167 92
-167 23 166 168 93
-168 24 167 169 94
-169 25 168 170 95
-170 26 169 171 96
-171 27 170 172 97
-172 28 171 173 98
-173 99 29 172 174
-174 100 30 173 175
-175 176 101 31 174
-176 177 102 32 175
-177 33 176 178 103
-178 34 177 179 104
-179 35 178 180 105
-180 36 179 181 106
-181 37 180 182 107
-182 38 181 183 108
-183 39 182 184 109
-184 110 40 183 185
-185 111 41 184 186
-186 187 112 42 185
-187 188 113 43 186
-188 44 187 189 114
-189 45 188 190 115
-190 46 189 191 116
-191 47 190 192 117
-192 48 191 193 118
-193 49 192 194 119
-194 50 193 195 120
-195 121 51 194 196
-196 122 52 195 197
-197 198 123 53 196
-198 199 124 54 197
-199 55 198 200 125
-200 56 199 201 126
-201 57 200 202 127
-202 58 201 203 128
-203 59 202 204 129
-204 60 203 205 130
-205 61 204 206 131
-206 132 62 205 207
-207 133 63 206 208
-208 209 134 64 207
-209 210 135 65 208
-210 66 209 211 136
-211 67 210 212 137
-212 68 211 213 138
-213 69 212 214 139
-214 70 213 215 140
-215 71 214 216 141
-216 72 215 217 142
-217 143 73 216 218
-218 144 74 217 219
-219 220 1 75 218
-220 221 2 76 219
-221 77 220 222 3
-222 78 221 223 4
-223 79 222 224 5
-224 80 223 225 6
-225 81 224 226 7
-226 82 225 227 8
-227 83 226 228 9
-228 84 227 229 10
-229 11 85 228 230
-230 231 12 86 229
-231 232 13 87 230
-232 88 231 233 14
-233 89 232 234 15
-234 90 233 235 16
-235 91 234 236 17
-236 92 235 237 18
-237 93 236 238 19
-238 94 237 239 20
-239 95 238 240 21
-240 22 96 239 241
-241 242 23 97 240
-242 243 24 98 241
-243 99 242 244 25
-244 100 243 245 26
-245 101 244 246 27
-246 102 245 247 28
-247 103 246 248 29
-248 104 247 249 30
-249 105 248 250 31
-250 106 249 251 32
-251 33 107 250 252
-252 253 34 108 251
-253 254 35 109 252
-254 110 253 255 36
-255 111 254 256 37
-256 112 255 257 38
-257 113 256 258 39
-258 114 257 259 40
-259 115 258 260 41
-260 116 259 261 42
-261 117 260 262 43
-262 44 118 261 263
-263 264 45 119 262
-264 265 46 120 263
-265 121 264 266 47
-266 122 265 267 48
-267 123 266 268 49
-268 124 267 269 50
-269 125 268 270 51
-270 126 269 271 52
-271 127 270 272 53
-272 128 271 273 54
-273 55 129 272 274
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-277 133 276 278 59
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-282 138 281 283 64
-283 139 282 284 65
-284 66 140 283 285
-285 286 67 141 284
-286 287 68 142 285
-287 143 286 288 69
-288 144 287 145 70
0

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