Graph forms
for C4 [ 288, 59 ] = AMC(32,3,[0.1:1.2])
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On this page are computer-accessible forms for the graph C4[ 288, 59 ] =
AMC(32,3,[0.1:1.2]).
(I) Following is a form readable by MAGMA:
g:=Graph<288|{ {36, 37}, {252, 253}, {108, 109}, {72, 73}, {144, 145}, {180,
181}, {216, 217}, {8, 11}, {260, 263}, {116, 119}, {44, 47}, {80, 83}, {152,
155}, {188, 191}, {224, 227}, {24, 28}, {251, 255}, {250, 254}, {243, 247},
{240, 244}, {107, 111}, {106, 110}, {99, 103}, {96, 100}, {27, 31}, {34, 38},
{35, 39}, {168, 172}, {171, 175}, {178, 182}, {179, 183}, {9, 12}, {259, 262},
{248, 253}, {115, 118}, {104, 109}, {32, 37}, {43, 46}, {72, 77}, {81, 84},
{144, 149}, {153, 156}, {176, 181}, {187, 190}, {216, 221}, {225, 228}, {8, 14},
{257, 263}, {256, 262}, {243, 245}, {242, 244}, {113, 119}, {112, 118}, {99,
101}, {98, 100}, {9, 15}, {26, 28}, {27, 29}, {40, 46}, {41, 47}, {80, 86}, {81,
87}, {152, 158}, {153, 159}, {170, 172}, {171, 173}, {184, 190}, {185, 191},
{224, 230}, {225, 231}, {25, 30}, {264, 271}, {249, 254}, {241, 246}, {120,
127}, {105, 110}, {97, 102}, {33, 38}, {48, 55}, {169, 174}, {177, 182}, {192,
199}, {17, 25}, {263, 271}, {247, 255}, {119, 127}, {103, 111}, {87, 95}, {18,
26}, {34, 42}, {48, 56}, {50, 58}, {51, 59}, {53, 61}, {54, 62}, {67, 75}, {70,
78}, {83, 91}, {84, 92}, {86, 94}, {161, 169}, {162, 170}, {178, 186}, {192,
200}, {194, 202}, {195, 203}, {197, 205}, {198, 206}, {211, 219}, {214, 222},
{227, 235}, {228, 236}, {230, 238}, {231, 239}, {23, 30}, {277, 284}, {275,
282}, {241, 248}, {133, 140}, {131, 138}, {97, 104}, {87, 94}, {51, 58}, {167,
174}, {195, 202}, {231, 238}, {6, 12}, {259, 265}, {258, 264}, {115, 121}, {114,
120}, {7, 13}, {16, 26}, {17, 27}, {33, 43}, {49, 59}, {52, 62}, {53, 63}, {69,
79}, {85, 95}, {150, 156}, {151, 157}, {160, 170}, {161, 171}, {177, 187}, {193,
203}, {196, 206}, {197, 207}, {213, 223}, {229, 239}, {16, 27}, {278, 285},
{276, 287}, {274, 281}, {272, 283}, {242, 249}, {240, 251}, {134, 141}, {132,
143}, {130, 137}, {128, 139}, {98, 105}, {96, 107}, {18, 25}, {20, 31}, {22,
29}, {35, 40}, {52, 63}, {54, 61}, {71, 76}, {160, 171}, {162, 169}, {164, 175},
{166, 173}, {179, 184}, {196, 207}, {198, 205}, {215, 220}, {1, 13}, {279, 283},
{276, 280}, {258, 270}, {257, 269}, {256, 268}, {135, 139}, {132, 136}, {114,
126}, {113, 125}, {112, 124}, {2, 14}, {3, 15}, {70, 74}, {71, 75}, {145, 157},
{146, 158}, {147, 159}, {214, 218}, {215, 219}, {7, 10}, {275, 286}, {273, 284},
{261, 264}, {131, 142}, {129, 140}, {117, 120}, {32, 45}, {36, 41}, {49, 60},
{64, 77}, {68, 73}, {151, 154}, {176, 189}, {180, 185}, {193, 204}, {208, 221},
{212, 217}, {4, 10}, {279, 281}, {278, 280}, {261, 267}, {260, 266}, {135, 137},
{134, 136}, {117, 123}, {116, 122}, {5, 11}, {50, 60}, {65, 79}, {66, 76}, {82,
92}, {83, 93}, {148, 154}, {149, 155}, {194, 204}, {209, 223}, {210, 220}, {226,
236}, {227, 237}, {65, 78}, {277, 282}, {273, 286}, {133, 138}, {129, 142}, {69,
74}, {82, 93}, {84, 91}, {209, 222}, {213, 218}, {226, 237}, {228, 235}, {128,
144}, {271, 287}, {163, 179}, {164, 180}, {199, 215}, {200, 216}, {235, 251},
{236, 252}, {1, 16}, {136, 153}, {111, 126}, {109, 124}, {100, 117}, {3, 18},
{37, 52}, {39, 54}, {64, 81}, {73, 88}, {75, 90}, {172, 189}, {66, 80}, {271,
285}, {238, 252}, {138, 152}, {130, 144}, {102, 116}, {163, 177}, {166, 180},
{174, 188}, {199, 213}, {202, 216}, {235, 249}, {2, 17}, {139, 152}, {110, 125},
{103, 116}, {38, 53}, {67, 80}, {74, 89}, {175, 188}, {4, 16}, {111, 123}, {110,
122}, {109, 121}, {5, 17}, {6, 18}, {37, 49}, {38, 50}, {39, 51}, {76, 88}, {77,
89}, {78, 90}, {13, 24}, {239, 250}, {140, 153}, {100, 113}, {68, 81}, {165,
176}, {167, 178}, {172, 185}, {229, 240}, {237, 248}, {14, 24}, {263, 273},
{262, 272}, {102, 112}, {101, 115}, {46, 56}, {47, 57}, {173, 187}, {174, 184},
{230, 240}, {46, 57}, {262, 273}, {237, 250}, {101, 114}, {165, 178}, {173,
186}, {11, 19}, {270, 278}, {269, 277}, {267, 275}, {266, 274}, {264, 272},
{142, 150}, {139, 147}, {106, 114}, {12, 20}, {14, 22}, {15, 23}, {47, 55},
{175, 183}, {233, 241}, {234, 242}, {15, 22}, {267, 274}, {239, 246}, {169,
176}, {203, 210}, {205, 212}, {13, 23}, {269, 279}, {268, 278}, {265, 275},
{141, 151}, {105, 115}, {42, 48}, {43, 49}, {78, 84}, {79, 85}, {232, 242},
{233, 243}, {107, 112}, {270, 277}, {268, 279}, {238, 245}, {143, 148}, {168,
179}, {170, 177}, {200, 211}, {202, 209}, {204, 215}, {206, 213}, {232, 243},
{234, 241}, {236, 247}, {40, 52}, {142, 146}, {41, 53}, {42, 54}, {73, 85}, {74,
86}, {75, 87}, {143, 147}, {204, 208}, {207, 211}, {45, 48}, {265, 276}, {140,
145}, {136, 149}, {108, 113}, {104, 117}, {79, 82}, {201, 212}, {203, 214}, {10,
20}, {266, 276}, {138, 148}, {137, 151}, {11, 21}, {44, 50}, {45, 51}, {76, 82},
{77, 83}, {206, 208}, {207, 209}, {10, 21}, {141, 146}, {137, 150}, {12, 19},
{201, 214}, {205, 210}, {19, 35}, {272, 288}, {92, 108}, {91, 107}, {20, 36},
{28, 45}, {145, 160}, {147, 162}, {208, 225}, {217, 232}, {219, 234}, {19, 33},
{274, 288}, {94, 108}, {91, 105}, {22, 36}, {30, 44}, {210, 224}, {31, 44},
{146, 161}, {211, 224}, {218, 233}, {148, 160}, {149, 161}, {150, 162}, {220,
232}, {221, 233}, {222, 234}, {21, 32}, {95, 106}, {93, 104}, {23, 34}, {28,
41}, {85, 96}, {157, 168}, {212, 225}, {29, 43}, {86, 96}, {30, 40}, {158, 168},
{21, 34}, {93, 106}, {29, 42}, {31, 39}, {90, 98}, {89, 97}, {155, 163}, {156,
164}, {158, 166}, {159, 167}, {25, 32}, {95, 102}, {159, 166}, {88, 98}, {89,
99}, {157, 167}, {222, 228}, {223, 229}, {24, 35}, {94, 101}, {92, 103}, {90,
97}, {88, 99}, {26, 33}, {217, 229}, {218, 230}, {219, 231}, {223, 226}, {154,
164}, {155, 165}, {220, 226}, {221, 227}, {154, 165}, {156, 163}, {55, 71}, {56,
72}, {181, 196}, {183, 198}, {55, 69}, {58, 72}, {182, 197}, {181, 193}, {182,
194}, {183, 195}, {190, 200}, {191, 201}, {190, 201}, {191, 199}, {59, 66}, {61,
68}, {186, 192}, {187, 193}, {56, 67}, {58, 65}, {60, 71}, {62, 69}, {60, 64},
{63, 67}, {184, 196}, {185, 197}, {186, 198}, {57, 68}, {59, 70}, {189, 192},
{62, 64}, {63, 65}, {188, 194}, {189, 195}, {57, 70}, {61, 66}, {127, 143},
{127, 141}, {118, 128}, {119, 129}, {118, 129}, {120, 128}, {126, 134}, {125,
133}, {123, 131}, {122, 130}, {123, 130}, {121, 131}, {125, 135}, {124, 134},
{124, 135}, {126, 133}, {121, 132}, {122, 132}, {9, 280}, {8, 282}, {8, 283},
{9, 284}, {3, 283}, {6, 286}, {7, 285}, {4, 287}, {2, 286}, {3, 287}, {1, 284},
{5, 280}, {4, 282}, {7, 281}, {2, 285}, {6, 281}, {1, 288}, {5, 288}, {244,
261}, {255, 270}, {253, 268}, {246, 260}, {247, 260}, {254, 269}, {253, 265},
{255, 267}, {254, 266}, {244, 257}, {245, 259}, {246, 256}, {245, 258}, {250,
258}, {249, 259}, {251, 256}, {248, 261}, {252, 257} }>;
(II) A more general form is to represent the graph as the orbit of {36, 37}
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, 6, 3, 8)(4, 5, 7, 9)(10, 280)(11, 285, 12, 287)(13, 284, 16, 288)(14,
286, 18, 283)(15, 282, 17, 281)(19, 271)(20, 276, 21, 278)(22, 275, 25, 279)(23,
277, 27, 274)(24, 273, 26, 272)(28, 262)(29, 267, 30, 269)(31, 266, 34, 270)(32,
268, 36, 265)(33, 264, 35, 263)(37, 253)(38, 258, 39, 260)(40, 257, 43, 261)(41,
259, 45, 256)(42, 255, 44, 254)(46, 244)(47, 249, 48, 251)(49, 248, 52, 252)(50,
250, 54, 247)(51, 246, 53, 245)(55, 235)(56, 240, 57, 242)(58, 239, 61, 243)(59,
241, 63, 238)(60, 237, 62, 236)(64, 226)(65, 231, 66, 233)(67, 230, 70, 234)(68,
232, 72, 229)(69, 228, 71, 227)(73, 217)(74, 222, 75, 224)(76, 221, 79, 225)(77,
223, 81, 220)(78, 219, 80, 218)(82, 208)(83, 213, 84, 215)(85, 212, 88, 216)(86,
214, 90, 211)(87, 210, 89, 209)(91, 199)(92, 204, 93, 206)(94, 203, 97, 207)(95,
205, 99, 202)(96, 201, 98, 200)(100, 190)(101, 195, 102, 197)(103, 194, 106,
198)(104, 196, 108, 193)(105, 192, 107, 191)(109, 181)(110, 186, 111, 188)(112,
185, 115, 189)(113, 187, 117, 184)(114, 183, 116, 182)(118, 172)(119, 177, 120,
179)(121, 176, 124, 180)(122, 178, 126, 175)(123, 174, 125, 173)(127, 163)(128,
168, 129, 170)(130, 167, 133, 171)(131, 169, 135, 166)(132, 165, 134, 164)(136,
154)(137, 159, 138, 161)(139, 158, 142, 162)(140, 160, 144, 157)(141, 156, 143,
155)(146, 150, 147, 152)(148, 149, 151, 153)
c: (1, 10, 19, 28, 37, 46, 55, 64, 73, 82, 91, 100, 109, 118, 127, 136, 145,
154, 163, 172, 181, 190, 199, 208, 217, 226, 235, 244, 253, 262, 271, 280)(2,
15, 27, 34, 39, 53, 59, 67, 74, 87, 99, 106, 111, 125, 131, 139, 146, 159, 171,
178, 183, 197, 203, 211, 218, 231, 243, 250, 255, 269, 275, 283)(3, 17, 23, 31,
38, 51, 63, 70, 75, 89, 95, 103, 110, 123, 135, 142, 147, 161, 167, 175, 182,
195, 207, 214, 219, 233, 239, 247, 254, 267, 279, 286)(4, 11, 24, 36, 43, 48,
62, 68, 76, 83, 96, 108, 115, 120, 134, 140, 148, 155, 168, 180, 187, 192, 206,
212, 220, 227, 240, 252, 259, 264, 278, 284)(5, 13, 20, 33, 45, 52, 57, 71, 77,
85, 92, 105, 117, 124, 129, 143, 149, 157, 164, 177, 189, 196, 201, 215, 221,
229, 236, 249, 261, 268, 273, 287)(6, 18, 25, 30, 44, 50, 58, 65, 78, 90, 97,
102, 116, 122, 130, 137, 150, 162, 169, 174, 188, 194, 202, 209, 222, 234, 241,
246, 260, 266, 274, 281)(7, 12, 26, 32, 40, 47, 60, 72, 79, 84, 98, 104, 112,
119, 132, 144, 151, 156, 170, 176, 184, 191, 204, 216, 223, 228, 242, 248, 256,
263, 276, 288)(8, 14, 22, 29, 42, 54, 61, 66, 80, 86, 94, 101, 114, 126, 133,
138, 152, 158, 166, 173, 186, 198, 205, 210, 224, 230, 238, 245, 258, 270, 277,
282)(9, 16, 21, 35, 41, 49, 56, 69, 81, 88, 93, 107, 113, 121, 128, 141, 153,
160, 165, 179, 185, 193, 200, 213, 225, 232, 237, 251, 257, 265, 272, 285)
C4[ 288, 59 ]
288
-1 13 288 16 284
-2 286 14 17 285
-3 287 15 18 283
-4 287 16 282 10
-5 11 288 280 17
-6 286 12 281 18
-7 13 281 10 285
-8 11 14 282 283
-9 12 15 280 284
-10 4 7 20 21
-11 5 8 19 21
-12 6 19 9 20
-13 1 23 24 7
-14 22 2 24 8
-15 22 23 3 9
-16 1 4 26 27
-17 2 25 5 27
-18 3 25 26 6
-19 11 33 12 35
-20 12 36 31 10
-21 11 34 10 32
-22 14 36 15 29
-23 34 13 15 30
-24 13 35 14 28
-25 17 18 30 32
-26 33 16 28 18
-27 16 17 29 31
-28 45 24 26 41
-29 22 27 42 43
-30 44 23 25 40
-31 44 27 39 20
-32 45 25 37 21
-33 26 38 19 43
-34 23 38 42 21
-35 24 39 40 19
-36 22 37 41 20
-37 36 49 52 32
-38 33 34 50 53
-39 35 51 31 54
-40 35 46 30 52
-41 36 47 28 53
-42 34 48 29 54
-43 33 46 49 29
-44 47 50 30 31
-45 48 28 51 32
-46 56 57 40 43
-47 44 55 57 41
-48 55 45 56 42
-49 37 59 60 43
-50 44 58 38 60
-51 45 58 59 39
-52 37 40 62 63
-53 38 61 41 63
-54 39 61 62 42
-55 47 69 48 71
-56 67 46 48 72
-57 46 68 47 70
-58 50 72 51 65
-59 66 70 49 51
-60 49 71 50 64
-61 66 68 53 54
-62 69 52 64 54
-63 67 52 53 65
-64 77 81 60 62
-65 78 79 58 63
-66 80 59 61 76
-67 56 80 63 75
-68 57 81 61 73
-69 55 79 62 74
-70 78 57 59 74
-71 55 60 75 76
-72 77 56 58 73
-73 88 68 72 85
-74 89 69 70 86
-75 67 90 71 87
-76 66 88 71 82
-77 89 72 83 64
-78 90 70 84 65
-79 69 82 85 65
-80 66 67 83 86
-81 68 84 64 87
-82 79 92 93 76
-83 77 80 91 93
-84 78 91 81 92
-85 79 73 95 96
-86 80 94 74 96
-87 81 94 95 75
-88 99 73 76 98
-89 77 99 74 97
-90 78 75 97 98
-91 83 105 84 107
-92 103 82 84 108
-93 82 104 83 106
-94 101 86 108 87
-95 102 106 85 87
-96 100 85 107 86
-97 89 90 102 104
-98 88 100 90 105
-99 88 89 101 103
-100 113 117 96 98
-101 99 114 115 94
-102 112 116 95 97
-103 99 111 92 116
-104 93 117 97 109
-105 110 91 115 98
-106 110 114 93 95
-107 111 112 91 96
-108 113 92 94 109
-109 121 124 104 108
-110 122 125 105 106
-111 123 103 126 107
-112 102 124 107 118
-113 100 125 108 119
-114 101 126 106 120
-115 121 101 105 118
-116 122 102 103 119
-117 100 123 104 120
-118 112 115 128 129
-119 113 116 127 129
-120 114 127 117 128
-121 132 115 109 131
-122 110 132 116 130
-123 111 117 130 131
-124 112 134 135 109
-125 110 133 113 135
-126 111 133 134 114
-127 143 119 141 120
-128 144 139 118 120
-129 118 140 119 142
-130 122 144 123 137
-131 121 123 138 142
-132 121 143 122 136
-133 125 126 138 140
-134 124 136 126 141
-135 124 125 137 139
-136 132 134 149 153
-137 135 150 151 130
-138 133 148 152 131
-139 135 147 128 152
-140 133 145 129 153
-141 134 146 127 151
-142 146 150 129 131
-143 132 147 148 127
-144 145 149 128 130
-145 144 157 160 140
-146 158 161 141 142
-147 143 159 139 162
-148 143 154 138 160
-149 144 155 136 161
-150 156 137 162 142
-151 154 157 137 141
-152 155 158 138 139
-153 156 136 159 140
-154 165 148 151 164
-155 165 149 152 163
-156 150 163 153 164
-157 145 167 168 151
-158 166 146 168 152
-159 166 167 147 153
-160 145 148 170 171
-161 146 169 149 171
-162 147 169 170 150
-163 155 177 156 179
-164 154 156 180 175
-165 154 176 155 178
-166 158 180 159 173
-167 178 157 159 174
-168 157 179 158 172
-169 176 161 162 174
-170 177 160 172 162
-171 160 161 173 175
-172 189 168 170 185
-173 187 166 171 186
-174 188 167 169 184
-175 188 171 183 164
-176 165 189 169 181
-177 187 170 182 163
-178 165 167 182 186
-179 168 183 184 163
-180 166 181 185 164
-181 176 180 193 196
-182 177 178 194 197
-183 198 179 195 175
-184 179 190 174 196
-185 180 191 172 197
-186 198 178 192 173
-187 177 190 193 173
-188 191 194 174 175
-189 176 192 172 195
-190 187 200 201 184
-191 188 199 201 185
-192 199 189 200 186
-193 187 181 203 204
-194 188 202 182 204
-195 189 202 203 183
-196 181 184 206 207
-197 182 205 185 207
-198 183 205 206 186
-199 191 213 192 215
-200 211 190 192 216
-201 190 212 191 214
-202 209 194 216 195
-203 210 214 193 195
-204 193 215 194 208
-205 198 210 212 197
-206 198 213 196 208
-207 209 211 196 197
-208 221 225 204 206
-209 222 223 202 207
-210 220 224 203 205
-211 200 224 207 219
-212 201 225 205 217
-213 199 223 206 218
-214 222 201 203 218
-215 220 199 204 219
-216 221 200 202 217
-217 232 212 216 229
-218 233 213 214 230
-219 231 211 234 215
-220 210 232 215 226
-221 233 216 227 208
-222 209 234 214 228
-223 209 213 226 229
-224 210 211 227 230
-225 231 212 228 208
-226 220 223 236 237
-227 221 224 235 237
-228 222 235 225 236
-229 223 217 239 240
-230 224 238 218 240
-231 225 238 239 219
-232 220 242 243 217
-233 221 243 218 241
-234 242 222 219 241
-235 227 249 228 251
-236 247 226 228 252
-237 226 248 227 250
-238 231 245 230 252
-239 231 246 250 229
-240 244 229 251 230
-241 233 234 246 248
-242 232 244 234 249
-243 232 233 245 247
-244 242 257 261 240
-245 243 258 259 238
-246 256 260 239 241
-247 243 255 236 260
-248 253 237 261 241
-249 242 254 235 259
-250 254 258 237 239
-251 255 256 235 240
-252 253 257 236 238
-253 265 268 248 252
-254 266 269 249 250
-255 267 247 270 251
-256 246 268 251 262
-257 244 269 252 263
-258 264 245 270 250
-259 265 245 249 262
-260 266 246 247 263
-261 264 244 267 248
-262 256 259 272 273
-263 257 260 271 273
-264 258 271 261 272
-265 253 275 276 259
-266 254 276 260 274
-267 275 255 261 274
-268 253 256 278 279
-269 254 277 257 279
-270 255 277 278 258
-271 264 287 263 285
-272 264 288 283 262
-273 286 262 284 263
-274 266 288 267 281
-275 286 265 267 282
-276 265 287 266 280
-277 269 270 282 284
-278 268 280 270 285
-279 268 269 281 283
-280 276 278 5 9
-281 279 6 7 274
-282 275 277 4 8
-283 3 279 8 272
-284 1 277 9 273
-285 2 278 7 271
-286 275 2 6 273
-287 276 3 4 271
-288 1 5 272 274
0