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