Graph forms
for C4 [ 200, 4 ] = {4,4}_10,10
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On this page are computer-accessible forms for the graph C4[ 200, 4 ] =
{4,4}_10,10.
(I) Following is a form readable by MAGMA:
g:=Graph<200|{ {2, 3}, {198, 199}, {196, 197}, {194, 195}, {192, 193}, {190,
191}, {188, 189}, {186, 187}, {184, 185}, {182, 183}, {178, 179}, {176, 177},
{174, 175}, {172, 173}, {170, 171}, {168, 169}, {166, 167}, {164, 165}, {162,
163}, {90, 91}, {88, 89}, {86, 87}, {84, 85}, {82, 83}, {78, 79}, {76, 77}, {74,
75}, {72, 73}, {70, 71}, {68, 69}, {66, 67}, {64, 65}, {62, 63}, {58, 59}, {56,
57}, {54, 55}, {52, 53}, {4, 5}, {6, 7}, {8, 9}, {10, 11}, {12, 13}, {14, 15},
{16, 17}, {18, 19}, {22, 23}, {24, 25}, {26, 27}, {28, 29}, {30, 31}, {32, 33},
{34, 35}, {36, 37}, {38, 39}, {42, 43}, {44, 45}, {46, 47}, {48, 49}, {50, 51},
{92, 93}, {94, 95}, {96, 97}, {98, 99}, {102, 103}, {104, 105}, {106, 107},
{108, 109}, {110, 111}, {112, 113}, {114, 115}, {116, 117}, {118, 119}, {122,
123}, {124, 125}, {126, 127}, {128, 129}, {130, 131}, {132, 133}, {134, 135},
{136, 137}, {138, 139}, {142, 143}, {144, 145}, {146, 147}, {148, 149}, {150,
151}, {152, 153}, {154, 155}, {156, 157}, {158, 159}, {1, 2}, {197, 198}, {193,
194}, {189, 190}, {185, 186}, {181, 182}, {177, 178}, {173, 174}, {169, 170},
{165, 166}, {89, 90}, {85, 86}, {81, 82}, {77, 78}, {73, 74}, {69, 70}, {65,
66}, {61, 62}, {57, 58}, {53, 54}, {5, 6}, {9, 10}, {13, 14}, {17, 18}, {21,
22}, {25, 26}, {29, 30}, {33, 34}, {37, 38}, {41, 42}, {45, 46}, {49, 50}, {93,
94}, {97, 98}, {101, 102}, {105, 106}, {109, 110}, {113, 114}, {117, 118}, {121,
122}, {125, 126}, {129, 130}, {133, 134}, {137, 138}, {141, 142}, {145, 146},
{149, 150}, {153, 154}, {157, 158}, {161, 162}, {3, 4}, {195, 196}, {187, 188},
{179, 180}, {171, 172}, {163, 164}, {91, 92}, {83, 84}, {75, 76}, {67, 68}, {59,
60}, {51, 52}, {11, 12}, {19, 20}, {27, 28}, {35, 36}, {43, 44}, {99, 100},
{107, 108}, {115, 116}, {123, 124}, {131, 132}, {139, 140}, {147, 148}, {155,
156}, {7, 8}, {199, 200}, {183, 184}, {167, 168}, {87, 88}, {71, 72}, {55, 56},
{23, 24}, {39, 40}, {103, 104}, {119, 120}, {135, 136}, {151, 152}, {1, 21},
{171, 191}, {170, 190}, {169, 189}, {168, 188}, {163, 183}, {162, 182}, {161,
181}, {75, 95}, {74, 94}, {73, 93}, {72, 92}, {67, 87}, {66, 86}, {65, 85}, {64,
84}, {2, 22}, {3, 23}, {8, 28}, {9, 29}, {10, 30}, {11, 31}, {32, 52}, {33, 53},
{34, 54}, {35, 55}, {40, 60}, {41, 61}, {42, 62}, {43, 63}, {96, 116}, {97,
117}, {98, 118}, {99, 119}, {104, 124}, {105, 125}, {106, 126}, {107, 127},
{128, 148}, {129, 149}, {130, 150}, {131, 151}, {136, 156}, {137, 157}, {138,
158}, {139, 159}, {160, 180}, {1, 20}, {41, 60}, {161, 180}, {4, 24}, {167,
187}, {166, 186}, {165, 185}, {164, 184}, {71, 91}, {70, 90}, {69, 89}, {68,
88}, {5, 25}, {6, 26}, {7, 27}, {36, 56}, {37, 57}, {38, 58}, {39, 59}, {100,
120}, {101, 121}, {102, 122}, {103, 123}, {132, 152}, {133, 153}, {134, 154},
{135, 155}, {101, 120}, {15, 16}, {175, 176}, {79, 80}, {47, 48}, {111, 112},
{143, 144}, {12, 32}, {79, 99}, {78, 98}, {77, 97}, {76, 96}, {13, 33}, {14,
34}, {15, 35}, {28, 48}, {29, 49}, {30, 50}, {31, 51}, {92, 112}, {93, 113},
{94, 114}, {95, 115}, {140, 160}, {141, 161}, {142, 162}, {143, 163}, {156,
176}, {157, 177}, {158, 178}, {159, 179}, {141, 160}, {16, 36}, {90, 110}, {89,
109}, {88, 108}, {83, 103}, {82, 102}, {81, 101}, {80, 100}, {17, 37}, {18, 38},
{19, 39}, {24, 44}, {25, 45}, {26, 46}, {27, 47}, {91, 111}, {144, 164}, {145,
165}, {146, 166}, {147, 167}, {152, 172}, {153, 173}, {154, 174}, {155, 175},
{81, 100}, {20, 40}, {87, 107}, {86, 106}, {85, 105}, {84, 104}, {21, 41}, {22,
42}, {23, 43}, {148, 168}, {149, 169}, {150, 170}, {151, 171}, {21, 40}, {31,
32}, {95, 96}, {159, 160}, {44, 64}, {175, 195}, {174, 194}, {173, 193}, {172,
192}, {63, 83}, {62, 82}, {61, 81}, {60, 80}, {45, 65}, {46, 66}, {47, 67}, {61,
80}, {48, 68}, {179, 199}, {178, 198}, {177, 197}, {176, 196}, {59, 79}, {58,
78}, {57, 77}, {56, 76}, {51, 71}, {49, 69}, {50, 70}, {52, 72}, {180, 200},
{55, 75}, {54, 74}, {53, 73}, {181, 200}, {63, 64}, {191, 192}, {16, 186}, {17,
187}, {20, 190}, {18, 188}, {19, 189}, {14, 184}, {15, 185}, {12, 182}, {13,
183}, {1, 191}, {11, 181}, {2, 192}, {3, 193}, {6, 196}, {7, 197}, {10, 200},
{4, 194}, {5, 195}, {8, 198}, {9, 199}, {108, 128}, {109, 129}, {110, 130},
{111, 131}, {124, 144}, {125, 145}, {126, 146}, {127, 147}, {112, 132}, {113,
133}, {114, 134}, {115, 135}, {120, 140}, {121, 141}, {122, 142}, {123, 143},
{121, 140}, {116, 136}, {117, 137}, {118, 138}, {119, 139}, {127, 128} }>;
(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) (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, 20)(3, 19)(4, 18)(5, 17)(6, 16)(7, 15)(8, 14)(9, 13)(10, 12)(22, 40)(23,
39)(24, 38)(25, 37)(26, 36)(27, 35)(28, 34)(29, 33)(30, 32)(42, 60)(43, 59)(44,
58)(45, 57)(46, 56)(47, 55)(48, 54)(49, 53)(50, 52)(62, 80)(63, 79)(64, 78)(65,
77)(66, 76)(67, 75)(68, 74)(69, 73)(70, 72)(82, 100)(83, 99)(84, 98)(85, 97)(86,
96)(87, 95)(88, 94)(89, 93)(90, 92)(102, 120)(103, 119)(104, 118)(105, 117)(106,
116)(107, 115)(108, 114)(109, 113)(110, 112)(122, 140)(123, 139)(124, 138)(125,
137)(126, 136)(127, 135)(128, 134)(129, 133)(130, 132)(142, 160)(143, 159)(144,
158)(145, 157)(146, 156)(147, 155)(148, 154)(149, 153)(150, 152)(162, 180)(163,
179)(164, 178)(165, 177)(166, 176)(167, 175)(168, 174)(169, 173)(170, 172)(182,
200)(183, 199)(184, 198)(185, 197)(186, 196)(187, 195)(188, 194)(189, 193)(190,
192)
c: (2, 21)(3, 41)(4, 61)(5, 81)(6, 101)(7, 121)(8, 141)(9, 161)(10, 181)(12,
31)(13, 51)(14, 71)(15, 91)(16, 111)(17, 131)(18, 151)(19, 171)(20, 191)(23,
42)(24, 62)(25, 82)(26, 102)(27, 122)(28, 142)(29, 162)(30, 182)(33, 52)(34,
72)(35, 92)(36, 112)(37, 132)(38, 152)(39, 172)(40, 192)(44, 63)(45, 83)(46,
103)(47, 123)(48, 143)(49, 163)(50, 183)(54, 73)(55, 93)(56, 113)(57, 133)(58,
153)(59, 173)(60, 193)(65, 84)(66, 104)(67, 124)(68, 144)(69, 164)(70, 184)(75,
94)(76, 114)(77, 134)(78, 154)(79, 174)(80, 194)(86, 105)(87, 125)(88, 145)(89,
165)(90, 185)(96, 115)(97, 135)(98, 155)(99, 175)(100, 195)(107, 126)(108,
146)(109, 166)(110, 186)(117, 136)(118, 156)(119, 176)(120, 196)(128, 147)(129,
167)(130, 187)(138, 157)(139, 177)(140, 197)(149, 168)(150, 188)(159, 178)(160,
198)(170, 189)(180, 199)
C4[ 200, 4 ]
200
-1 2 191 20 21
-2 22 1 3 192
-3 23 2 4 193
-4 24 3 5 194
-5 25 4 6 195
-6 26 5 7 196
-7 27 6 8 197
-8 198 28 7 9
-9 199 29 8 10
-10 11 200 30 9
-11 12 181 31 10
-12 11 13 182 32
-13 33 12 14 183
-14 34 13 15 184
-15 35 14 16 185
-16 36 15 17 186
-17 187 37 16 18
-18 188 38 17 19
-19 189 39 18 20
-20 1 190 40 19
-21 22 1 40 41
-22 23 2 42 21
-23 22 24 3 43
-24 44 23 25 4
-25 45 24 26 5
-26 46 25 27 6
-27 47 26 28 7
-28 48 27 29 8
-29 49 28 30 9
-30 50 29 31 10
-31 11 51 30 32
-32 33 12 52 31
-33 34 13 53 32
-34 33 35 14 54
-35 55 34 36 15
-36 56 35 37 16
-37 57 36 38 17
-38 58 37 39 18
-39 59 38 40 19
-40 60 39 20 21
-41 60 61 42 21
-42 22 62 41 43
-43 44 23 63 42
-44 45 24 64 43
-45 44 46 25 65
-46 66 45 47 26
-47 67 46 48 27
-48 68 47 49 28
-49 69 48 50 29
-50 70 49 51 30
-51 71 50 52 31
-52 72 51 53 32
-53 33 73 52 54
-54 55 34 74 53
-55 56 35 75 54
-56 55 57 36 76
-57 77 56 58 37
-58 78 57 59 38
-59 79 58 60 39
-60 80 59 40 41
-61 80 81 62 41
-62 82 61 63 42
-63 83 62 64 43
-64 44 84 63 65
-65 66 45 85 64
-66 67 46 86 65
-67 66 68 47 87
-68 88 67 69 48
-69 89 68 70 49
-70 90 69 71 50
-71 91 70 72 51
-72 92 71 73 52
-73 93 72 74 53
-74 94 73 75 54
-75 55 95 74 76
-76 77 56 96 75
-77 78 57 97 76
-78 77 79 58 98
-79 99 78 80 59
-80 100 79 60 61
-81 100 101 82 61
-82 102 81 83 62
-83 103 82 84 63
-84 104 83 85 64
-85 105 84 86 65
-86 66 106 85 87
-87 88 67 107 86
-88 89 68 108 87
-89 88 90 69 109
-90 110 89 91 70
-91 111 90 92 71
-92 112 91 93 72
-93 113 92 94 73
-94 114 93 95 74
-95 115 94 96 75
-96 116 95 97 76
-97 77 117 96 98
-98 99 78 118 97
-99 100 79 119 98
-100 99 80 81 120
-101 121 102 81 120
-102 122 101 103 82
-103 123 102 104 83
-104 124 103 105 84
-105 125 104 106 85
-106 126 105 107 86
-107 127 106 108 87
-108 88 128 107 109
-109 110 89 129 108
-110 111 90 130 109
-111 110 112 91 131
-112 132 111 113 92
-113 133 112 114 93
-114 134 113 115 94
-115 135 114 116 95
-116 136 115 117 96
-117 137 116 118 97
-118 138 117 119 98
-119 99 139 118 120
-120 100 101 140 119
-121 122 101 140 141
-122 121 123 102 142
-123 143 122 124 103
-124 144 123 125 104
-125 145 124 126 105
-126 146 125 127 106
-127 147 126 128 107
-128 148 127 129 108
-129 149 128 130 109
-130 110 150 129 131
-131 132 111 151 130
-132 133 112 152 131
-133 132 134 113 153
-134 154 133 135 114
-135 155 134 136 115
-136 156 135 137 116
-137 157 136 138 117
-138 158 137 139 118
-139 159 138 140 119
-140 121 160 139 120
-141 121 160 161 142
-142 143 122 162 141
-143 144 123 163 142
-144 143 145 124 164
-145 165 144 146 125
-146 166 145 147 126
-147 167 146 148 127
-148 168 147 149 128
-149 169 148 150 129
-150 170 149 151 130
-151 171 150 152 131
-152 132 172 151 153
-153 154 133 173 152
-154 155 134 174 153
-155 154 156 135 175
-156 176 155 157 136
-157 177 156 158 137
-158 178 157 159 138
-159 179 158 160 139
-160 180 159 140 141
-161 180 181 162 141
-162 182 161 163 142
-163 143 183 162 164
-164 165 144 184 163
-165 166 145 185 164
-166 165 167 146 186
-167 187 166 168 147
-168 188 167 169 148
-169 189 168 170 149
-170 190 169 171 150
-171 191 170 172 151
-172 192 171 173 152
-173 193 172 174 153
-174 154 194 173 175
-175 176 155 195 174
-176 177 156 196 175
-177 176 178 157 197
-178 198 177 179 158
-179 199 178 180 159
-180 200 179 160 161
-181 11 200 182 161
-182 12 181 183 162
-183 13 182 184 163
-184 14 183 185 164
-185 165 15 184 186
-186 187 166 16 185
-187 188 167 17 186
-188 187 189 168 18
-189 188 190 169 19
-190 189 191 170 20
-191 1 190 192 171
-192 2 191 193 172
-193 3 192 194 173
-194 4 193 195 174
-195 5 194 196 175
-196 176 6 195 197
-197 198 177 7 196
-198 199 178 8 197
-199 198 200 179 9
-200 199 180 181 10
0