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