Graph forms
for C4 [ 292, 2 ] = {4,4}_16,6
[Home] [Table] [Glossary]
[Families]
On this page are computer-accessible forms for the graph C4[ 292, 2 ] =
{4,4}_16,6.
(I) Following is a form readable by MAGMA:
g:=Graph<292|{ {2, 3}, {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}, {180, 181}, {178,
179}, {176, 177}, {174, 175}, {172, 173}, {170, 171}, {168, 169}, {166, 167},
{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}, {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}, {148, 149}, {150, 151}, {152, 153}, {154,
155}, {156, 157}, {158, 159}, {160, 161}, {162, 163}, {164, 165}, {1, 2}, {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}, {181, 182}, {177, 178}, {173, 174}, {169, 170}, {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}, {165, 166}, {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}, {179, 180}, {171, 172}, {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}, {155, 156}, {163, 164}, {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}, {128, 182}, {129, 183}, {136, 190}, {137, 191},
{130, 184}, {131, 185}, {134, 188}, {135, 189}, {132, 186}, {133, 187}, {31,
32}, {287, 288}, {223, 224}, {95, 96}, {159, 160}, {138, 192}, {139, 193}, {142,
196}, {143, 197}, {140, 194}, {141, 195}, {144, 198}, {145, 199}, {146, 200},
{63, 64}, {191, 192}, {1, 147}, {77, 223}, {76, 222}, {73, 219}, {72, 218}, {69,
215}, {68, 214}, {65, 211}, {64, 210}, {4, 150}, {5, 151}, {8, 154}, {9, 155},
{12, 158}, {13, 159}, {32, 178}, {33, 179}, {36, 182}, {37, 183}, {40, 186},
{41, 187}, {44, 190}, {45, 191}, {96, 242}, {97, 243}, {100, 246}, {101, 247},
{104, 250}, {105, 251}, {108, 254}, {109, 255}, {1, 146}, {2, 148}, {75, 221},
{74, 220}, {67, 213}, {66, 212}, {3, 149}, {10, 156}, {11, 157}, {34, 180}, {35,
181}, {42, 188}, {43, 189}, {98, 244}, {99, 245}, {106, 252}, {107, 253}, {6,
152}, {71, 217}, {70, 216}, {7, 153}, {38, 184}, {39, 185}, {102, 248}, {103,
249}, {14, 160}, {79, 225}, {78, 224}, {15, 161}, {30, 176}, {31, 177}, {94,
240}, {95, 241}, {16, 162}, {85, 231}, {84, 230}, {81, 227}, {80, 226}, {17,
163}, {20, 166}, {21, 167}, {24, 170}, {25, 171}, {28, 174}, {29, 175}, {88,
234}, {89, 235}, {92, 238}, {93, 239}, {18, 164}, {83, 229}, {82, 228}, {19,
165}, {26, 172}, {27, 173}, {90, 236}, {91, 237}, {22, 168}, {23, 169}, {86,
232}, {87, 233}, {1, 201}, {55, 255}, {54, 254}, {53, 253}, {52, 252}, {51,
251}, {50, 250}, {2, 202}, {3, 203}, {4, 204}, {5, 205}, {6, 206}, {7, 207},
{16, 216}, {17, 217}, {18, 218}, {19, 219}, {20, 220}, {21, 221}, {22, 222},
{23, 223}, {32, 232}, {33, 233}, {34, 234}, {35, 235}, {36, 236}, {37, 237},
{38, 238}, {39, 239}, {48, 248}, {49, 249}, {94, 148}, {95, 149}, {106, 160},
{107, 161}, {110, 164}, {111, 165}, {122, 176}, {123, 177}, {126, 180}, {127,
181}, {93, 147}, {108, 162}, {109, 163}, {124, 178}, {125, 179}, {112, 166},
{113, 167}, {120, 174}, {121, 175}, {8, 208}, {9, 209}, {10, 210}, {11, 211},
{12, 212}, {13, 213}, {14, 214}, {15, 215}, {40, 240}, {41, 241}, {42, 242},
{43, 243}, {44, 244}, {45, 245}, {46, 246}, {47, 247}, {114, 168}, {115, 169},
{118, 172}, {119, 173}, {116, 170}, {117, 171}, {46, 192}, {63, 209}, {62, 208},
{47, 193}, {48, 194}, {61, 207}, {60, 206}, {57, 203}, {56, 202}, {53, 199},
{52, 198}, {49, 195}, {50, 196}, {59, 205}, {58, 204}, {51, 197}, {96, 150},
{97, 151}, {104, 158}, {105, 159}, {24, 224}, {25, 225}, {26, 226}, {27, 227},
{28, 228}, {29, 229}, {30, 230}, {31, 231}, {98, 152}, {99, 153}, {102, 156},
{103, 157}, {54, 200}, {55, 201}, {100, 154}, {101, 155}, {127, 128}, {56, 256},
{63, 263}, {62, 262}, {61, 261}, {60, 260}, {59, 259}, {58, 258}, {57, 257},
{64, 264}, {84, 284}, {83, 283}, {82, 282}, {81, 281}, {80, 280}, {71, 271},
{70, 270}, {69, 269}, {68, 268}, {67, 267}, {66, 266}, {65, 265}, {85, 285},
{86, 286}, {87, 287}, {72, 272}, {79, 279}, {78, 278}, {77, 277}, {76, 276},
{75, 275}, {74, 274}, {73, 273}, {110, 256}, {111, 257}, {126, 272}, {127, 273},
{112, 258}, {113, 259}, {116, 262}, {117, 263}, {120, 266}, {121, 267}, {124,
270}, {125, 271}, {114, 260}, {115, 261}, {122, 268}, {123, 269}, {88, 288},
{89, 289}, {90, 290}, {91, 291}, {92, 292}, {118, 264}, {119, 265}, {128, 274},
{129, 275}, {132, 278}, {133, 279}, {136, 282}, {137, 283}, {140, 286}, {141,
287}, {130, 276}, {131, 277}, {138, 284}, {139, 285}, {134, 280}, {135, 281},
{142, 288}, {143, 289}, {144, 290}, {145, 291}, {146, 292}, {147, 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, 201, 146, 147)(3, 55, 145, 93)(4, 255, 144, 239)(5, 109, 143, 39)(6, 163,
142, 185)(7, 17, 141, 131)(8, 217, 140, 277)(9, 71, 139, 77)(10, 271, 138,
223)(11, 125, 137, 23)(12, 179, 136, 169)(13, 33, 135, 115)(14, 233, 134,
261)(15, 87, 133, 61)(16, 287, 132, 207)(18, 195, 130, 153)(19, 49, 129, 99)(20,
249, 128, 245)(21, 103, 127, 45)(22, 157, 126, 191)(24, 211, 124, 283)(25, 65,
123, 83)(26, 265, 122, 229)(27, 119, 121, 29)(28, 173, 120, 175)(30, 227, 118,
267)(31, 81, 117, 67)(32, 281, 116, 213)(34, 189, 114, 159)(35, 43, 113,
105)(36, 243, 112, 251)(37, 97, 111, 51)(38, 151, 110, 197)(40, 205, 108,
289)(41, 59, 107, 89)(42, 259, 106, 235)(44, 167, 104, 181)(46, 221, 102,
273)(47, 75, 101, 73)(48, 275, 100, 219)(50, 183, 98, 165)(52, 237, 96, 257)(53,
91, 95, 57)(54, 291, 94, 203)(56, 199, 92, 149)(58, 253, 90, 241)(60, 161, 88,
187)(62, 215, 86, 279)(63, 69, 85, 79)(64, 269, 84, 225)(66, 177, 82, 171)(68,
231, 80, 263)(70, 285, 78, 209)(72, 193, 76, 155)(74, 247)(148, 202, 200,
292)(150, 256, 198, 238)(152, 164, 196, 184)(154, 218, 194, 276)(156, 272, 192,
222)(158, 180, 190, 168)(160, 234, 188, 260)(162, 288, 186, 206)(166, 250, 182,
244)(170, 212, 178, 282)(172, 266, 176, 228)(204, 254, 290, 240)(208, 216, 286,
278)(210, 270, 284, 224)(214, 232, 280, 262)(220, 248, 274, 246)(226, 264, 268,
230)(236, 242, 258, 252) (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 **************
b: (2, 146)(3, 145)(4, 144)(5, 143)(6, 142)(7, 141)(8, 140)(9, 139)(10, 138)(11,
137)(12, 136)(13, 135)(14, 134)(15, 133)(16, 132)(17, 131)(18, 130)(19, 129)(20,
128)(21, 127)(22, 126)(23, 125)(24, 124)(25, 123)(26, 122)(27, 121)(28, 120)(29,
119)(30, 118)(31, 117)(32, 116)(33, 115)(34, 114)(35, 113)(36, 112)(37, 111)(38,
110)(39, 109)(40, 108)(41, 107)(42, 106)(43, 105)(44, 104)(45, 103)(46, 102)(47,
101)(48, 100)(49, 99)(50, 98)(51, 97)(52, 96)(53, 95)(54, 94)(55, 93)(56,
92)(57, 91)(58, 90)(59, 89)(60, 88)(61, 87)(62, 86)(63, 85)(64, 84)(65, 83)(66,
82)(67, 81)(68, 80)(69, 79)(70, 78)(71, 77)(72, 76)(73, 75)(147, 201)(148,
200)(149, 199)(150, 198)(151, 197)(152, 196)(153, 195)(154, 194)(155, 193)(156,
192)(157, 191)(158, 190)(159, 189)(160, 188)(161, 187)(162, 186)(163, 185)(164,
184)(165, 183)(166, 182)(167, 181)(168, 180)(169, 179)(170, 178)(171, 177)(172,
176)(173, 175)(202, 292)(203, 291)(204, 290)(205, 289)(206, 288)(207, 287)(208,
286)(209, 285)(210, 284)(211, 283)(212, 282)(213, 281)(214, 280)(215, 279)(216,
278)(217, 277)(218, 276)(219, 275)(220, 274)(221, 273)(222, 272)(223, 271)(224,
270)(225, 269)(226, 268)(227, 267)(228, 266)(229, 265)(230, 264)(231, 263)(232,
262)(233, 261)(234, 260)(235, 259)(236, 258)(237, 257)(238, 256)(239, 255)(240,
254)(241, 253)(242, 252)(243, 251)(244, 250)(245, 249)(246, 248)
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)
C4[ 292, 2 ]
292
-1 2 146 201 147
-2 1 3 202 148
-3 2 4 203 149
-4 3 5 204 150
-5 4 6 205 151
-6 5 7 206 152
-7 6 8 207 153
-8 154 7 9 208
-9 209 155 8 10
-10 11 210 156 9
-11 12 211 157 10
-12 11 13 212 158
-13 12 14 213 159
-14 13 15 214 160
-15 14 16 215 161
-16 15 17 216 162
-17 16 18 217 163
-18 17 19 218 164
-19 165 18 20 219
-20 220 166 19 21
-21 22 221 167 20
-22 23 222 168 21
-23 22 24 223 169
-24 23 25 224 170
-25 24 26 225 171
-26 25 27 226 172
-27 26 28 227 173
-28 27 29 228 174
-29 28 30 229 175
-30 176 29 31 230
-31 231 177 30 32
-32 33 232 178 31
-33 34 233 179 32
-34 33 35 234 180
-35 34 36 235 181
-36 35 37 236 182
-37 36 38 237 183
-38 37 39 238 184
-39 38 40 239 185
-40 39 41 240 186
-41 187 40 42 241
-42 242 188 41 43
-43 44 243 189 42
-44 45 244 190 43
-45 44 46 245 191
-46 45 47 246 192
-47 46 48 247 193
-48 47 49 248 194
-49 48 50 249 195
-50 49 51 250 196
-51 50 52 251 197
-52 198 51 53 252
-53 253 199 52 54
-54 55 254 200 53
-55 56 255 201 54
-56 55 57 256 202
-57 56 58 257 203
-58 57 59 258 204
-59 58 60 259 205
-60 59 61 260 206
-61 60 62 261 207
-62 61 63 262 208
-63 209 62 64 263
-64 264 210 63 65
-65 66 265 211 64
-66 67 266 212 65
-67 66 68 267 213
-68 67 69 268 214
-69 68 70 269 215
-70 69 71 270 216
-71 70 72 271 217
-72 71 73 272 218
-73 72 74 273 219
-74 220 73 75 274
-75 275 221 74 76
-76 77 276 222 75
-77 78 277 223 76
-78 77 79 278 224
-79 78 80 279 225
-80 79 81 280 226
-81 80 82 281 227
-82 81 83 282 228
-83 82 84 283 229
-84 83 85 284 230
-85 231 84 86 285
-86 286 232 85 87
-87 88 287 233 86
-88 89 288 234 87
-89 88 90 289 235
-90 89 91 290 236
-91 90 92 291 237
-92 91 93 292 238
-93 92 147 94 239
-94 93 148 95 240
-95 94 149 96 241
-96 242 95 150 97
-97 243 96 151 98
-98 99 244 97 152
-99 100 245 98 153
-100 99 154 101 246
-101 100 155 102 247
-102 101 156 103 248
-103 102 157 104 249
-104 103 158 105 250
-105 104 159 106 251
-106 105 160 107 252
-107 253 106 161 108
-108 254 107 162 109
-109 110 255 108 163
-110 111 256 109 164
-111 110 165 112 257
-112 111 166 113 258
-113 112 167 114 259
-114 113 168 115 260
-115 114 169 116 261
-116 115 170 117 262
-117 116 171 118 263
-118 264 117 172 119
-119 265 118 173 120
-120 121 266 119 174
-121 122 267 120 175
-122 121 176 123 268
-123 122 177 124 269
-124 123 178 125 270
-125 124 179 126 271
-126 125 180 127 272
-127 126 181 128 273
-128 127 182 129 274
-129 275 128 183 130
-130 276 129 184 131
-131 132 277 130 185
-132 133 278 131 186
-133 132 187 134 279
-134 133 188 135 280
-135 134 189 136 281
-136 135 190 137 282
-137 136 191 138 283
-138 137 192 139 284
-139 138 193 140 285
-140 286 139 194 141
-141 287 140 195 142
-142 143 288 141 196
-143 144 289 142 197
-144 143 198 145 290
-145 144 199 146 291
-146 1 145 200 292
-147 1 93 148 292
-148 2 147 94 149
-149 3 148 95 150
-150 4 149 96 151
-151 5 150 97 152
-152 6 151 98 153
-153 99 154 7 152
-154 100 155 8 153
-155 154 101 156 9
-156 155 102 157 10
-157 11 156 103 158
-158 12 157 104 159
-159 13 158 105 160
-160 14 159 106 161
-161 15 160 107 162
-162 16 161 108 163
-163 17 162 109 164
-164 110 165 18 163
-165 111 166 19 164
-166 165 112 167 20
-167 166 113 168 21
-168 22 167 114 169
-169 23 168 115 170
-170 24 169 116 171
-171 25 170 117 172
-172 26 171 118 173
-173 27 172 119 174
-174 28 173 120 175
-175 121 176 29 174
-176 122 177 30 175
-177 176 123 178 31
-178 177 124 179 32
-179 33 178 125 180
-180 34 179 126 181
-181 35 180 127 182
-182 36 181 128 183
-183 37 182 129 184
-184 38 183 130 185
-185 39 184 131 186
-186 132 187 40 185
-187 133 188 41 186
-188 187 134 189 42
-189 188 135 190 43
-190 44 189 136 191
-191 45 190 137 192
-192 46 191 138 193
-193 47 192 139 194
-194 48 193 140 195
-195 49 194 141 196
-196 50 195 142 197
-197 143 198 51 196
-198 144 199 52 197
-199 198 145 200 53
-200 199 146 201 54
-201 55 1 200 202
-202 56 2 201 203
-203 57 3 202 204
-204 58 4 203 205
-205 59 5 204 206
-206 60 6 205 207
-207 61 7 206 208
-208 209 62 8 207
-209 210 63 9 208
-210 209 211 64 10
-211 11 210 212 65
-212 66 12 211 213
-213 67 13 212 214
-214 68 14 213 215
-215 69 15 214 216
-216 70 16 215 217
-217 71 17 216 218
-218 72 18 217 219
-219 220 73 19 218
-220 221 74 20 219
-221 220 222 75 21
-222 22 221 223 76
-223 77 23 222 224
-224 78 24 223 225
-225 79 25 224 226
-226 80 26 225 227
-227 81 27 226 228
-228 82 28 227 229
-229 83 29 228 230
-230 231 84 30 229
-231 232 85 31 230
-232 231 233 86 32
-233 33 232 234 87
-234 88 34 233 235
-235 89 35 234 236
-236 90 36 235 237
-237 91 37 236 238
-238 92 38 237 239
-239 93 39 238 240
-240 94 40 239 241
-241 242 95 41 240
-242 243 96 42 241
-243 242 244 97 43
-244 44 243 245 98
-245 99 45 244 246
-246 100 46 245 247
-247 101 47 246 248
-248 102 48 247 249
-249 103 49 248 250
-250 104 50 249 251
-251 105 51 250 252
-252 253 106 52 251
-253 254 107 53 252
-254 253 255 108 54
-255 55 254 256 109
-256 110 56 255 257
-257 111 57 256 258
-258 112 58 257 259
-259 113 59 258 260
-260 114 60 259 261
-261 115 61 260 262
-262 116 62 261 263
-263 264 117 63 262
-264 265 118 64 263
-265 264 266 119 65
-266 66 265 267 120
-267 121 67 266 268
-268 122 68 267 269
-269 123 69 268 270
-270 124 70 269 271
-271 125 71 270 272
-272 126 72 271 273
-273 127 73 272 274
-274 275 128 74 273
-275 276 129 75 274
-276 275 277 130 76
-277 77 276 278 131
-278 132 78 277 279
-279 133 79 278 280
-280 134 80 279 281
-281 135 81 280 282
-282 136 82 281 283
-283 137 83 282 284
-284 138 84 283 285
-285 286 139 85 284
-286 287 140 86 285
-287 286 288 141 87
-288 88 287 289 142
-289 143 89 288 290
-290 144 90 289 291
-291 145 91 290 292
-292 146 92 147 291
0