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