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