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