C4graphGraph forms for C4 [ 288, 7 ] = {4,4}_[18,8]

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On this page are computer-accessible forms for the graph C4[ 288, 7 ] = {4,4}_[18,8].

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

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

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