C4graphGraph forms for C4 [ 294, 2 ] = C_294(1,97)

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On this page are computer-accessible forms for the graph C4[ 294, 2 ] = C_294(1,97).

(I) Following is a form readable by MAGMA:

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

(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[ 294, 2 ]
294
-1 198 2 294 98
-2 99 1 199 3
-3 100 2 200 4
-4 101 3 201 5
-5 102 4 202 6
-6 103 5 203 7
-7 104 6 204 8
-8 105 7 205 9
-9 106 8 206 10
-10 11 107 9 207
-11 12 108 10 208
-12 11 209 13 109
-13 110 12 210 14
-14 111 13 211 15
-15 112 14 212 16
-16 113 15 213 17
-17 114 16 214 18
-18 115 17 215 19
-19 116 18 216 20
-20 117 19 217 21
-21 22 118 20 218
-22 23 119 21 219
-23 22 220 24 120
-24 121 23 221 25
-25 122 24 222 26
-26 123 25 223 27
-27 124 26 224 28
-28 125 27 225 29
-29 126 28 226 30
-30 127 29 227 31
-31 128 30 228 32
-32 33 129 31 229
-33 34 130 32 230
-34 33 231 35 131
-35 132 34 232 36
-36 133 35 233 37
-37 134 36 234 38
-38 135 37 235 39
-39 136 38 236 40
-40 137 39 237 41
-41 138 40 238 42
-42 139 41 239 43
-43 44 140 42 240
-44 45 141 43 241
-45 44 242 46 142
-46 143 45 243 47
-47 144 46 244 48
-48 145 47 245 49
-49 146 48 246 50
-50 147 49 247 51
-51 148 50 248 52
-52 149 51 249 53
-53 150 52 250 54
-54 55 151 53 251
-55 56 152 54 252
-56 55 253 57 153
-57 154 56 254 58
-58 155 57 255 59
-59 156 58 256 60
-60 157 59 257 61
-61 158 60 258 62
-62 159 61 259 63
-63 160 62 260 64
-64 161 63 261 65
-65 66 162 64 262
-66 67 163 65 263
-67 66 264 68 164
-68 165 67 265 69
-69 166 68 266 70
-70 167 69 267 71
-71 168 70 268 72
-72 169 71 269 73
-73 170 72 270 74
-74 171 73 271 75
-75 172 74 272 76
-76 77 173 75 273
-77 78 174 76 274
-78 77 275 79 175
-79 176 78 276 80
-80 177 79 277 81
-81 178 80 278 82
-82 179 81 279 83
-83 180 82 280 84
-84 181 83 281 85
-85 182 84 282 86
-86 183 85 283 87
-87 88 184 86 284
-88 89 185 87 285
-89 88 286 90 186
-90 187 89 287 91
-91 188 90 288 92
-92 189 91 289 93
-93 190 92 290 94
-94 191 93 291 95
-95 192 94 292 96
-96 193 95 293 97
-97 194 96 294 98
-98 99 1 195 97
-99 100 2 196 98
-100 99 101 3 197
-101 198 100 102 4
-102 199 101 103 5
-103 200 102 104 6
-104 201 103 105 7
-105 202 104 106 8
-106 203 105 107 9
-107 204 106 108 10
-108 11 205 107 109
-109 110 12 206 108
-110 111 13 207 109
-111 110 112 14 208
-112 209 111 113 15
-113 210 112 114 16
-114 211 113 115 17
-115 212 114 116 18
-116 213 115 117 19
-117 214 116 118 20
-118 215 117 119 21
-119 22 216 118 120
-120 121 23 217 119
-121 122 24 218 120
-122 121 123 25 219
-123 220 122 124 26
-124 221 123 125 27
-125 222 124 126 28
-126 223 125 127 29
-127 224 126 128 30
-128 225 127 129 31
-129 226 128 130 32
-130 33 227 129 131
-131 132 34 228 130
-132 133 35 229 131
-133 132 134 36 230
-134 231 133 135 37
-135 232 134 136 38
-136 233 135 137 39
-137 234 136 138 40
-138 235 137 139 41
-139 236 138 140 42
-140 237 139 141 43
-141 44 238 140 142
-142 143 45 239 141
-143 144 46 240 142
-144 143 145 47 241
-145 242 144 146 48
-146 243 145 147 49
-147 244 146 148 50
-148 245 147 149 51
-149 246 148 150 52
-150 247 149 151 53
-151 248 150 152 54
-152 55 249 151 153
-153 154 56 250 152
-154 155 57 251 153
-155 154 156 58 252
-156 253 155 157 59
-157 254 156 158 60
-158 255 157 159 61
-159 256 158 160 62
-160 257 159 161 63
-161 258 160 162 64
-162 259 161 163 65
-163 66 260 162 164
-164 165 67 261 163
-165 166 68 262 164
-166 165 167 69 263
-167 264 166 168 70
-168 265 167 169 71
-169 266 168 170 72
-170 267 169 171 73
-171 268 170 172 74
-172 269 171 173 75
-173 270 172 174 76
-174 77 271 173 175
-175 176 78 272 174
-176 177 79 273 175
-177 176 178 80 274
-178 275 177 179 81
-179 276 178 180 82
-180 277 179 181 83
-181 278 180 182 84
-182 279 181 183 85
-183 280 182 184 86
-184 281 183 185 87
-185 88 282 184 186
-186 187 89 283 185
-187 188 90 284 186
-188 187 189 91 285
-189 286 188 190 92
-190 287 189 191 93
-191 288 190 192 94
-192 289 191 193 95
-193 290 192 194 96
-194 291 193 195 97
-195 292 194 196 98
-196 99 293 195 197
-197 198 100 294 196
-198 1 199 101 197
-199 198 2 200 102
-200 199 3 201 103
-201 200 4 202 104
-202 201 5 203 105
-203 202 6 204 106
-204 203 7 205 107
-205 204 8 206 108
-206 205 9 207 109
-207 110 206 10 208
-208 11 209 111 207
-209 12 210 112 208
-210 209 13 211 113
-211 210 14 212 114
-212 211 15 213 115
-213 212 16 214 116
-214 213 17 215 117
-215 214 18 216 118
-216 215 19 217 119
-217 216 20 218 120
-218 121 217 21 219
-219 22 220 122 218
-220 23 221 123 219
-221 220 24 222 124
-222 221 25 223 125
-223 222 26 224 126
-224 223 27 225 127
-225 224 28 226 128
-226 225 29 227 129
-227 226 30 228 130
-228 227 31 229 131
-229 132 228 32 230
-230 33 231 133 229
-231 34 232 134 230
-232 231 35 233 135
-233 232 36 234 136
-234 233 37 235 137
-235 234 38 236 138
-236 235 39 237 139
-237 236 40 238 140
-238 237 41 239 141
-239 238 42 240 142
-240 143 239 43 241
-241 44 242 144 240
-242 45 243 145 241
-243 242 46 244 146
-244 243 47 245 147
-245 244 48 246 148
-246 245 49 247 149
-247 246 50 248 150
-248 247 51 249 151
-249 248 52 250 152
-250 249 53 251 153
-251 154 250 54 252
-252 55 253 155 251
-253 56 254 156 252
-254 253 57 255 157
-255 254 58 256 158
-256 255 59 257 159
-257 256 60 258 160
-258 257 61 259 161
-259 258 62 260 162
-260 259 63 261 163
-261 260 64 262 164
-262 165 261 65 263
-263 66 264 166 262
-264 67 265 167 263
-265 264 68 266 168
-266 265 69 267 169
-267 266 70 268 170
-268 267 71 269 171
-269 268 72 270 172
-270 269 73 271 173
-271 270 74 272 174
-272 271 75 273 175
-273 176 272 76 274
-274 77 275 177 273
-275 78 276 178 274
-276 275 79 277 179
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-279 278 82 280 182
-280 279 83 281 183
-281 280 84 282 184
-282 281 85 283 185
-283 282 86 284 186
-284 187 283 87 285
-285 88 286 188 284
-286 89 287 189 285
-287 286 90 288 190
-288 287 91 289 191
-289 288 92 290 192
-290 289 93 291 193
-291 290 94 292 194
-292 291 95 293 195
-293 292 96 294 196
-294 1 293 97 197
0

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