Graph forms
for C4 [ 288, 5 ] = {4,4}_12,12
[Home] [Table] [Glossary]
[Families]
On this page are computer-accessible forms for the graph C4[ 288, 5 ] =
{4,4}_12,12.
(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},
{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}, {214, 215}, {212, 213}, {210, 211}, {208, 209},
{206, 207}, {114, 115}, {112, 113}, {110, 111}, {108, 109}, {106, 107}, {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}, {70, 71},
{68, 69}, {66, 67}, {64, 65}, {4, 5}, {6, 7}, {8, 9}, {10, 11}, {12, 13}, {14,
15}, {16, 17}, {18, 19}, {20, 21}, {22, 23}, {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}, {54, 55}, {56, 57}, {58, 59}, {60, 61}, {62, 63}, {116, 117},
{118, 119}, {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}, {170, 171}, {172, 173}, {174, 175},
{176, 177}, {178, 179}, {180, 181}, {182, 183}, {184, 185}, {186, 187}, {188,
189}, {190, 191}, {194, 195}, {196, 197}, {198, 199}, {200, 201}, {202, 203},
{204, 205}, {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}, {113, 114}, {109, 110}, {105, 106}, {101,
102}, {97, 98}, {93, 94}, {89, 90}, {85, 86}, {81, 82}, {77, 78}, {73, 74}, {69,
70}, {65, 66}, {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}, {57, 58}, {61,
62}, {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}, {197, 198}, {201, 202}, {3, 4}, {283, 284}, {275, 276}, {267, 268},
{259, 260}, {251, 252}, {243, 244}, {235, 236}, {227, 228}, {219, 220}, {211,
212}, {107, 108}, {99, 100}, {91, 92}, {83, 84}, {75, 76}, {67, 68}, {11, 12},
{19, 20}, {27, 28}, {35, 36}, {43, 44}, {51, 52}, {59, 60}, {115, 116}, {123,
124}, {131, 132}, {139, 140}, {147, 148}, {155, 156}, {163, 164}, {171, 172},
{179, 180}, {187, 188}, {195, 196}, {203, 204}, {7, 8}, {279, 280}, {263, 264},
{247, 248}, {231, 232}, {215, 216}, {103, 104}, {87, 88}, {71, 72}, {23, 24},
{39, 40}, {55, 56}, {119, 120}, {135, 136}, {151, 152}, {167, 168}, {183, 184},
{199, 200}, {1, 25}, {263, 287}, {262, 286}, {261, 285}, {260, 284}, {259, 283},
{258, 282}, {257, 281}, {256, 280}, {231, 255}, {230, 254}, {229, 253}, {228,
252}, {227, 251}, {226, 250}, {225, 249}, {224, 248}, {103, 127}, {102, 126},
{101, 125}, {100, 124}, {99, 123}, {98, 122}, {97, 121}, {96, 120}, {71, 95},
{70, 94}, {69, 93}, {68, 92}, {67, 91}, {66, 90}, {65, 89}, {64, 88}, {2, 26},
{3, 27}, {4, 28}, {5, 29}, {6, 30}, {7, 31}, {32, 56}, {33, 57}, {34, 58}, {35,
59}, {36, 60}, {37, 61}, {38, 62}, {39, 63}, {128, 152}, {129, 153}, {130, 154},
{131, 155}, {132, 156}, {133, 157}, {134, 158}, {135, 159}, {160, 184}, {161,
185}, {162, 186}, {163, 187}, {164, 188}, {165, 189}, {166, 190}, {167, 191},
{192, 216}, {193, 217}, {194, 218}, {195, 219}, {196, 220}, {197, 221}, {198,
222}, {199, 223}, {1, 24}, {97, 120}, {193, 216}, {15, 16}, {271, 272}, {239,
240}, {207, 208}, {111, 112}, {79, 80}, {47, 48}, {143, 144}, {175, 176}, {8,
32}, {264, 288}, {223, 247}, {222, 246}, {221, 245}, {220, 244}, {219, 243},
{218, 242}, {217, 241}, {216, 240}, {207, 231}, {206, 230}, {205, 229}, {95,
119}, {94, 118}, {93, 117}, {92, 116}, {91, 115}, {90, 114}, {89, 113}, {88,
112}, {79, 103}, {78, 102}, {77, 101}, {76, 100}, {75, 99}, {74, 98}, {73, 97},
{72, 96}, {9, 33}, {10, 34}, {11, 35}, {12, 36}, {13, 37}, {14, 38}, {15, 39},
{24, 48}, {25, 49}, {26, 50}, {27, 51}, {28, 52}, {29, 53}, {30, 54}, {31, 55},
{136, 160}, {137, 161}, {138, 162}, {139, 163}, {140, 164}, {141, 165}, {142,
166}, {143, 167}, {152, 176}, {153, 177}, {154, 178}, {155, 179}, {156, 180},
{157, 181}, {158, 182}, {159, 183}, {200, 224}, {201, 225}, {202, 226}, {203,
227}, {204, 228}, {25, 48}, {265, 288}, {217, 240}, {73, 96}, {16, 40}, {215,
239}, {214, 238}, {213, 237}, {212, 236}, {211, 235}, {210, 234}, {209, 233},
{208, 232}, {87, 111}, {86, 110}, {85, 109}, {84, 108}, {83, 107}, {82, 106},
{81, 105}, {80, 104}, {17, 41}, {18, 42}, {19, 43}, {20, 44}, {21, 45}, {22,
46}, {23, 47}, {144, 168}, {145, 169}, {146, 170}, {147, 171}, {148, 172}, {149,
173}, {150, 174}, {151, 175}, {145, 168}, {31, 32}, {287, 288}, {223, 224}, {95,
96}, {159, 160}, {40, 64}, {63, 87}, {41, 65}, {42, 66}, {43, 67}, {44, 68},
{45, 69}, {46, 70}, {47, 71}, {56, 80}, {57, 81}, {58, 82}, {59, 83}, {60, 84},
{61, 85}, {62, 86}, {168, 192}, {169, 193}, {170, 194}, {171, 195}, {172, 196},
{173, 197}, {174, 198}, {175, 199}, {184, 208}, {185, 209}, {186, 210}, {187,
211}, {188, 212}, {189, 213}, {190, 214}, {191, 215}, {169, 192}, {48, 72}, {49,
73}, {50, 74}, {51, 75}, {52, 76}, {53, 77}, {54, 78}, {55, 79}, {176, 200},
{177, 201}, {178, 202}, {179, 203}, {180, 204}, {181, 205}, {182, 206}, {183,
207}, {49, 72}, {63, 64}, {191, 192}, {104, 128}, {111, 135}, {110, 134}, {109,
133}, {108, 132}, {107, 131}, {106, 130}, {105, 129}, {120, 144}, {121, 145},
{122, 146}, {123, 147}, {124, 148}, {125, 149}, {126, 150}, {127, 151}, {121,
144}, {112, 136}, {113, 137}, {114, 138}, {115, 139}, {116, 140}, {117, 141},
{118, 142}, {119, 143}, {127, 128}, {13, 265}, {14, 266}, {15, 267}, {20, 272},
{21, 273}, {22, 274}, {23, 275}, {24, 276}, {1, 277}, {2, 278}, {3, 279}, {8,
284}, {9, 285}, {10, 286}, {11, 287}, {4, 280}, {5, 281}, {6, 282}, {7, 283},
{16, 268}, {17, 269}, {18, 270}, {19, 271}, {12, 288}, {232, 256}, {255, 279},
{254, 278}, {253, 277}, {252, 276}, {251, 275}, {250, 274}, {249, 273}, {248,
272}, {239, 263}, {238, 262}, {237, 261}, {236, 260}, {235, 259}, {234, 258},
{233, 257}, {240, 264}, {247, 271}, {246, 270}, {245, 269}, {244, 268}, {243,
267}, {242, 266}, {241, 265}, {241, 264}, {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) (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, 24)(3, 23)(4, 22)(5, 21)(6, 20)(7, 19)(8, 18)(9, 17)(10, 16)(11, 15)(12,
14)(26, 48)(27, 47)(28, 46)(29, 45)(30, 44)(31, 43)(32, 42)(33, 41)(34, 40)(35,
39)(36, 38)(50, 72)(51, 71)(52, 70)(53, 69)(54, 68)(55, 67)(56, 66)(57, 65)(58,
64)(59, 63)(60, 62)(74, 96)(75, 95)(76, 94)(77, 93)(78, 92)(79, 91)(80, 90)(81,
89)(82, 88)(83, 87)(84, 86)(98, 120)(99, 119)(100, 118)(101, 117)(102, 116)(103,
115)(104, 114)(105, 113)(106, 112)(107, 111)(108, 110)(122, 144)(123, 143)(124,
142)(125, 141)(126, 140)(127, 139)(128, 138)(129, 137)(130, 136)(131, 135)(132,
134)(146, 168)(147, 167)(148, 166)(149, 165)(150, 164)(151, 163)(152, 162)(153,
161)(154, 160)(155, 159)(156, 158)(170, 192)(171, 191)(172, 190)(173, 189)(174,
188)(175, 187)(176, 186)(177, 185)(178, 184)(179, 183)(180, 182)(194, 216)(195,
215)(196, 214)(197, 213)(198, 212)(199, 211)(200, 210)(201, 209)(202, 208)(203,
207)(204, 206)(218, 240)(219, 239)(220, 238)(221, 237)(222, 236)(223, 235)(224,
234)(225, 233)(226, 232)(227, 231)(228, 230)(242, 264)(243, 263)(244, 262)(245,
261)(246, 260)(247, 259)(248, 258)(249, 257)(250, 256)(251, 255)(252, 254)(266,
288)(267, 287)(268, 286)(269, 285)(270, 284)(271, 283)(272, 282)(273, 281)(274,
280)(275, 279)(276, 278)
c: (2, 25)(3, 49)(4, 73)(5, 97)(6, 121)(7, 145)(8, 169)(9, 193)(10, 217)(11,
241)(12, 265)(14, 37)(15, 61)(16, 85)(17, 109)(18, 133)(19, 157)(20, 181)(21,
205)(22, 229)(23, 253)(24, 277)(27, 50)(28, 74)(29, 98)(30, 122)(31, 146)(32,
170)(33, 194)(34, 218)(35, 242)(36, 266)(39, 62)(40, 86)(41, 110)(42, 134)(43,
158)(44, 182)(45, 206)(46, 230)(47, 254)(48, 278)(52, 75)(53, 99)(54, 123)(55,
147)(56, 171)(57, 195)(58, 219)(59, 243)(60, 267)(64, 87)(65, 111)(66, 135)(67,
159)(68, 183)(69, 207)(70, 231)(71, 255)(72, 279)(77, 100)(78, 124)(79, 148)(80,
172)(81, 196)(82, 220)(83, 244)(84, 268)(89, 112)(90, 136)(91, 160)(92, 184)(93,
208)(94, 232)(95, 256)(96, 280)(102, 125)(103, 149)(104, 173)(105, 197)(106,
221)(107, 245)(108, 269)(114, 137)(115, 161)(116, 185)(117, 209)(118, 233)(119,
257)(120, 281)(127, 150)(128, 174)(129, 198)(130, 222)(131, 246)(132, 270)(139,
162)(140, 186)(141, 210)(142, 234)(143, 258)(144, 282)(152, 175)(153, 199)(154,
223)(155, 247)(156, 271)(164, 187)(165, 211)(166, 235)(167, 259)(168, 283)(177,
200)(178, 224)(179, 248)(180, 272)(189, 212)(190, 236)(191, 260)(192, 284)(202,
225)(203, 249)(204, 273)(214, 237)(215, 261)(216, 285)(227, 250)(228, 274)(239,
262)(240, 286)(252, 275)(264, 287)
C4[ 288, 5 ]
288
-1 2 24 277 25
-2 1 3 278 26
-3 2 4 279 27
-4 3 5 280 28
-5 4 6 281 29
-6 5 7 282 30
-7 6 8 283 31
-8 7 9 284 32
-9 33 8 10 285
-10 11 286 34 9
-11 12 287 35 10
-12 11 13 288 36
-13 12 265 14 37
-14 13 266 15 38
-15 14 267 16 39
-16 15 268 17 40
-17 16 269 18 41
-18 17 270 19 42
-19 18 271 20 43
-20 44 19 272 21
-21 22 45 20 273
-22 23 46 21 274
-23 22 275 24 47
-24 1 23 276 48
-25 1 26 48 49
-26 2 25 27 50
-27 3 26 28 51
-28 4 27 29 52
-29 5 28 30 53
-30 6 29 31 54
-31 55 7 30 32
-32 33 56 8 31
-33 34 57 9 32
-34 33 35 58 10
-35 11 34 36 59
-36 12 35 37 60
-37 13 36 38 61
-38 14 37 39 62
-39 15 38 40 63
-40 16 39 41 64
-41 17 40 42 65
-42 66 18 41 43
-43 44 67 19 42
-44 45 68 20 43
-45 44 46 69 21
-46 22 45 47 70
-47 23 46 48 71
-48 24 25 47 72
-49 25 50 72 73
-50 26 49 51 74
-51 27 50 52 75
-52 28 51 53 76
-53 77 29 52 54
-54 55 78 30 53
-55 56 79 31 54
-56 55 57 80 32
-57 33 56 58 81
-58 34 57 59 82
-59 35 58 60 83
-60 36 59 61 84
-61 37 60 62 85
-62 38 61 63 86
-63 39 62 64 87
-64 88 40 63 65
-65 66 89 41 64
-66 67 90 42 65
-67 66 68 91 43
-68 44 67 69 92
-69 45 68 70 93
-70 46 69 71 94
-71 47 70 72 95
-72 48 49 71 96
-73 49 74 96 97
-74 50 73 75 98
-75 99 51 74 76
-76 77 100 52 75
-77 78 101 53 76
-78 77 79 102 54
-79 55 78 80 103
-80 56 79 81 104
-81 57 80 82 105
-82 58 81 83 106
-83 59 82 84 107
-84 60 83 85 108
-85 61 84 86 109
-86 110 62 85 87
-87 88 111 63 86
-88 89 112 64 87
-89 88 90 113 65
-90 66 89 91 114
-91 67 90 92 115
-92 68 91 93 116
-93 69 92 94 117
-94 70 93 95 118
-95 71 94 96 119
-96 72 73 95 120
-97 121 73 98 120
-98 99 122 74 97
-99 100 123 75 98
-100 99 101 124 76
-101 77 100 102 125
-102 78 101 103 126
-103 79 102 104 127
-104 80 103 105 128
-105 81 104 106 129
-106 82 105 107 130
-107 83 106 108 131
-108 132 84 107 109
-109 110 133 85 108
-110 111 134 86 109
-111 110 112 135 87
-112 88 111 113 136
-113 89 112 114 137
-114 90 113 115 138
-115 91 114 116 139
-116 92 115 117 140
-117 93 116 118 141
-118 94 117 119 142
-119 143 95 118 120
-120 144 96 97 119
-121 122 144 145 97
-122 121 123 146 98
-123 99 122 124 147
-124 100 123 125 148
-125 101 124 126 149
-126 102 125 127 150
-127 103 126 128 151
-128 104 127 129 152
-129 105 128 130 153
-130 154 106 129 131
-131 132 155 107 130
-132 133 156 108 131
-133 132 134 157 109
-134 110 133 135 158
-135 111 134 136 159
-136 112 135 137 160
-137 113 136 138 161
-138 114 137 139 162
-139 115 138 140 163
-140 116 139 141 164
-141 165 117 140 142
-142 143 166 118 141
-143 144 167 119 142
-144 121 143 168 120
-145 121 146 168 169
-146 122 145 147 170
-147 123 146 148 171
-148 124 147 149 172
-149 125 148 150 173
-150 126 149 151 174
-151 127 150 152 175
-152 176 128 151 153
-153 154 177 129 152
-154 155 178 130 153
-155 154 156 179 131
-156 132 155 157 180
-157 133 156 158 181
-158 134 157 159 182
-159 135 158 160 183
-160 136 159 161 184
-161 137 160 162 185
-162 138 161 163 186
-163 187 139 162 164
-164 165 188 140 163
-165 166 189 141 164
-166 165 167 190 142
-167 143 166 168 191
-168 144 145 167 192
-169 145 170 192 193
-170 146 169 171 194
-171 147 170 172 195
-172 148 171 173 196
-173 149 172 174 197
-174 198 150 173 175
-175 176 199 151 174
-176 177 200 152 175
-177 176 178 201 153
-178 154 177 179 202
-179 155 178 180 203
-180 156 179 181 204
-181 157 180 182 205
-182 158 181 183 206
-183 159 182 184 207
-184 160 183 185 208
-185 209 161 184 186
-186 187 210 162 185
-187 188 211 163 186
-188 187 189 212 164
-189 165 188 190 213
-190 166 189 191 214
-191 167 190 192 215
-192 168 169 191 216
-193 169 194 216 217
-194 170 193 195 218
-195 171 194 196 219
-196 220 172 195 197
-197 198 221 173 196
-198 199 222 174 197
-199 198 200 223 175
-200 176 199 201 224
-201 177 200 202 225
-202 178 201 203 226
-203 179 202 204 227
-204 180 203 205 228
-205 181 204 206 229
-206 182 205 207 230
-207 231 183 206 208
-208 209 232 184 207
-209 210 233 185 208
-210 209 211 234 186
-211 187 210 212 235
-212 188 211 213 236
-213 189 212 214 237
-214 190 213 215 238
-215 191 214 216 239
-216 192 193 215 240
-217 193 218 240 241
-218 242 194 217 219
-219 220 243 195 218
-220 221 244 196 219
-221 220 222 245 197
-222 198 221 223 246
-223 199 222 224 247
-224 200 223 225 248
-225 201 224 226 249
-226 202 225 227 250
-227 203 226 228 251
-228 204 227 229 252
-229 253 205 228 230
-230 231 254 206 229
-231 232 255 207 230
-232 231 233 256 208
-233 209 232 234 257
-234 210 233 235 258
-235 211 234 236 259
-236 212 235 237 260
-237 213 236 238 261
-238 214 237 239 262
-239 215 238 240 263
-240 264 216 217 239
-241 242 264 265 217
-242 243 266 218 241
-243 242 244 267 219
-244 220 243 245 268
-245 221 244 246 269
-246 222 245 247 270
-247 223 246 248 271
-248 224 247 249 272
-249 225 248 250 273
-250 226 249 251 274
-251 275 227 250 252
-252 253 276 228 251
-253 254 277 229 252
-254 253 255 278 230
-255 231 254 256 279
-256 232 255 257 280
-257 233 256 258 281
-258 234 257 259 282
-259 235 258 260 283
-260 236 259 261 284
-261 237 260 262 285
-262 286 238 261 263
-263 264 287 239 262
-264 288 240 241 263
-265 13 266 288 241
-266 242 265 14 267
-267 243 266 15 268
-268 244 267 16 269
-269 245 268 17 270
-270 246 269 18 271
-271 247 270 19 272
-272 248 271 20 273
-273 249 272 21 274
-274 22 275 250 273
-275 23 276 251 274
-276 275 24 277 252
-277 253 1 276 278
-278 254 2 277 279
-279 255 3 278 280
-280 256 4 279 281
-281 257 5 280 282
-282 258 6 281 283
-283 259 7 282 284
-284 260 8 283 285
-285 286 261 9 284
-286 287 262 10 285
-287 11 286 288 263
-288 264 12 265 287
0