Graph forms
for C4 [ 200, 31 ] = BGCG(W(10,2),C_5,3)
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On this page are computer-accessible forms for the graph C4[ 200, 31 ] =
BGCG(W(10,2),C_5,3).
(I) Following is a form readable by MAGMA:
g:=Graph<200|{ {34, 42}, {37, 45}, {114, 122}, {117, 125}, {34, 43}, {35, 42},
{114, 123}, {115, 122}, {33, 43}, {38, 44}, {113, 123}, {118, 124}, {38, 45},
{52, 63}, {39, 44}, {118, 125}, {119, 124}, {132, 143}, {51, 63}, {131, 143},
{51, 62}, {131, 142}, {80, 94}, {160, 174}, {16, 31}, {176, 191}, {160, 175},
{80, 95}, {96, 111}, {15, 31}, {175, 191}, {136, 152}, {135, 151}, {79, 95},
{76, 92}, {39, 55}, {36, 52}, {96, 112}, {15, 30}, {175, 190}, {138, 155}, {135,
150}, {76, 93}, {36, 53}, {98, 115}, {14, 28}, {174, 188}, {137, 155}, {134,
148}, {97, 115}, {32, 51}, {140, 159}, {137, 154}, {77, 94}, {72, 91}, {37, 54},
{97, 114}, {100, 119}, {1, 21}, {172, 184}, {162, 182}, {161, 181}, {139, 159},
{69, 81}, {42, 62}, {41, 61}, {12, 24}, {2, 22}, {99, 119}, {109, 121}, {132,
144}, {14, 27}, {174, 187}, {139, 158}, {134, 147}, {73, 92}, {33, 52}, {99,
118}, {13, 27}, {173, 187}, {138, 156}, {75, 93}, {35, 53}, {98, 116}, {133,
147}, {2, 21}, {173, 186}, {162, 181}, {70, 81}, {42, 61}, {13, 26}, {110, 121},
{133, 146}, {5, 29}, {166, 190}, {165, 189}, {77, 85}, {74, 82}, {65, 89}, {6,
30}, {102, 126}, {1, 24}, {161, 184}, {75, 82}, {74, 83}, {102, 127}, {103,
126}, {128, 153}, {3, 25}, {163, 185}, {78, 84}, {73, 83}, {66, 88}, {101, 127},
{128, 154}, {6, 29}, {172, 183}, {166, 189}, {79, 84}, {78, 85}, {67, 88}, {66,
89}, {12, 23}, {11, 23}, {171, 183}, {71, 91}, {70, 90}, {32, 60}, {100, 120},
{129, 157}, {130, 158}, {4, 25}, {171, 182}, {164, 185}, {71, 90}, {11, 22}, {4,
26}, {164, 186}, {40, 54}, {3, 28}, {163, 188}, {136, 151}, {40, 55}, {130,
157}, {24, 56}, {147, 179}, {144, 176}, {67, 99}, {64, 96}, {27, 59}, {9, 40},
{149, 180}, {144, 177}, {69, 100}, {64, 97}, {29, 60}, {24, 57}, {89, 120},
{129, 160}, {7, 36}, {145, 178}, {65, 98}, {25, 58}, {87, 116}, {5, 32}, {85,
112}, {7, 33}, {148, 178}, {68, 98}, {28, 58}, {87, 113}, {28, 59}, {148, 179},
{68, 99}, {25, 49}, {142, 166}, {8, 33}, {143, 166}, {142, 167}, {88, 113}, {8,
34}, {141, 167}, {26, 48}, {88, 114}, {26, 49}, {27, 48}, {9, 37}, {152, 180},
{140, 160}, {72, 100}, {31, 51}, {30, 50}, {10, 38}, {89, 117}, {90, 118}, {21,
56}, {31, 50}, {23, 57}, {10, 37}, {90, 117}, {16, 32}, {159, 175}, {156, 172},
{95, 111}, {18, 35}, {156, 173}, {95, 110}, {17, 35}, {94, 108}, {17, 34}, {157,
174}, {152, 171}, {20, 39}, {19, 39}, {149, 161}, {81, 101}, {29, 41}, {82,
102}, {92, 104}, {19, 38}, {153, 172}, {94, 107}, {18, 36}, {155, 173}, {93,
107}, {30, 41}, {150, 161}, {82, 101}, {93, 106}, {22, 46}, {157, 165}, {154,
162}, {145, 169}, {85, 109}, {86, 110}, {22, 47}, {155, 162}, {154, 163}, {23,
46}, {81, 104}, {21, 47}, {158, 164}, {153, 163}, {146, 168}, {83, 105}, {86,
109}, {159, 164}, {158, 165}, {147, 168}, {146, 169}, {92, 103}, {20, 40}, {151,
171}, {150, 170}, {91, 103}, {84, 105}, {151, 170}, {141, 176}, {91, 102}, {84,
106}, {143, 177}, {83, 108}, {61, 96}, {63, 97}, {49, 80}, {169, 200}, {47, 76},
{167, 196}, {45, 72}, {165, 192}, {47, 73}, {167, 193}, {45, 69}, {62, 86}, {46,
70}, {41, 64}, {168, 193}, {63, 86}, {62, 87}, {43, 65}, {168, 194}, {61, 87},
{46, 69}, {60, 80}, {170, 198}, {169, 197}, {44, 65}, {44, 66}, {43, 68}, {170,
197}, {55, 71}, {176, 192}, {56, 72}, {55, 70}, {178, 195}, {58, 75}, {54, 68},
{177, 195}, {57, 75}, {57, 74}, {180, 199}, {177, 194}, {60, 79}, {52, 64},
{179, 199}, {59, 79}, {54, 67}, {179, 198}, {59, 78}, {53, 67}, {178, 196}, {58,
76}, {53, 66}, {48, 73}, {48, 74}, {49, 77}, {180, 200}, {50, 78}, {50, 77},
{56, 71}, {16, 181}, {17, 183}, {16, 184}, {19, 187}, {17, 184}, {20, 189}, {18,
185}, {18, 188}, {19, 188}, {6, 182}, {9, 185}, {6, 183}, {7, 182}, {7, 181},
{8, 186}, {8, 187}, {9, 186}, {10, 190}, {11, 191}, {10, 191}, {1, 189}, {1,
190}, {2, 194}, {5, 197}, {2, 195}, {3, 194}, {3, 193}, {4, 198}, {4, 199}, {5,
198}, {14, 200}, {15, 200}, {12, 196}, {15, 199}, {13, 196}, {11, 192}, {14,
197}, {12, 193}, {13, 195}, {20, 192}, {104, 136}, {107, 139}, {104, 137}, {109,
140}, {105, 138}, {127, 156}, {125, 152}, {108, 138}, {127, 153}, {108, 139},
{105, 129}, {125, 149}, {126, 150}, {121, 144}, {106, 128}, {123, 145}, {106,
129}, {107, 128}, {126, 149}, {110, 130}, {111, 131}, {101, 136}, {111, 130},
{124, 145}, {103, 137}, {124, 146}, {123, 148}, {116, 132}, {119, 135}, {116,
133}, {112, 131}, {117, 134}, {121, 141}, {122, 142}, {113, 132}, {115, 133},
{122, 141}, {112, 140}, {120, 134}, {120, 135} }>;
(II) A more general form is to represent the graph as the orbit of {34, 42}
under the group generated by the following permutations:
a: (4, 14)(9, 19)(25, 28)(26, 27)(37, 38)(39, 40)(44, 54)(49, 59)(65, 68)(66,
67)(77, 78)(79, 80)(84, 94)(89, 99)(105, 108)(106, 107)(117, 118)(119, 120)(124,
134)(129, 139)(145, 148)(146, 147)(157, 158)(159, 160)(164, 174)(169, 179)(185,
188)(186, 187)(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, 12)(3, 13)(7, 17)(8, 18)(21, 24)(22, 23)(25, 26)(27, 28)(33, 35)(34,
36)(42, 52)(43, 53)(47, 57)(48, 58)(61, 64)(62, 63)(65, 66)(67, 68)(73, 75)(74,
76)(82, 92)(83, 93)(87, 97)(88, 98)(101, 104)(102, 103)(105, 106)(107, 108)(113,
115)(114, 116)(122, 132)(123, 133)(127, 137)(128, 138)(141, 144)(142, 143)(145,
146)(147, 148)(153, 155)(154, 156)(162, 172)(163, 173)(167, 177)(168, 178)(181,
184)(182, 183)(185, 186)(187, 188)(193, 195)(194, 196)
c: (5, 15)(10, 20)(29, 30)(31, 32)(37, 40)(38, 39)(45, 55)(50, 60)(69, 70)(71,
72)(77, 80)(78, 79)(85, 95)(90, 100)(109, 110)(111, 112)(117, 120)(118,
119)(125, 135)(130, 140)(149, 150)(151, 152)(157, 160)(158, 159)(165, 175)(170,
180)(189, 190)(191, 192)(197, 200)(198, 199)
d: (2, 12)(7, 17)(21, 24)(22, 23)(33, 34)(35, 36)(42, 52)(47, 57)(61, 64)(62,
63)(73, 74)(75, 76)(82, 92)(87, 97)(101, 104)(102, 103)(113, 114)(115, 116)(122,
132)(127, 137)(141, 144)(142, 143)(153, 154)(155, 156)(162, 172)(167, 177)(181,
184)(182, 183)(193, 194)(195, 196)
e: (2, 20, 12, 10)(3, 9, 13, 19)(4, 8, 14, 18)(5, 17, 15, 7)(6, 16)(21, 189, 24,
190)(22, 192, 23, 191)(25, 186, 27, 188)(26, 187, 28, 185)(29, 184, 30, 181)(31,
182, 32, 183)(33, 197, 35, 199)(34, 200, 36, 198)(37, 195, 39, 193)(38, 194, 40,
196)(41, 161)(42, 180, 52, 170)(43, 169, 53, 179)(44, 168, 54, 178)(45, 177, 55,
167)(46, 176)(47, 165, 57, 175)(48, 174, 58, 164)(49, 173, 59, 163)(50, 162, 60,
172)(51, 171)(56, 166)(61, 149, 64, 150)(62, 152, 63, 151)(65, 146, 67, 148)(66,
147, 68, 145)(69, 144, 70, 141)(71, 142, 72, 143)(73, 157, 75, 159)(74, 160, 76,
158)(77, 155, 79, 153)(78, 154, 80, 156)(81, 121)(82, 140, 92, 130)(83, 129, 93,
139)(84, 128, 94, 138)(85, 137, 95, 127)(86, 136)(87, 125, 97, 135)(88, 134, 98,
124)(89, 133, 99, 123)(90, 122, 100, 132)(91, 131)(96, 126)(101, 109, 104,
110)(102, 112, 103, 111)(105, 106, 107, 108)(113, 117, 115, 119)(114, 120, 116,
118)
f: (1, 2, 11, 12)(3, 20, 13, 10)(4, 9, 14, 19)(5, 18, 15, 8)(6, 17, 16, 7)(21,
22, 23, 24)(25, 40, 27, 38)(26, 37, 28, 39)(29, 35, 31, 33)(30, 34, 32, 36)(41,
42, 51, 52)(43, 60, 53, 50)(44, 49, 54, 59)(45, 58, 55, 48)(46, 57, 56, 47)(61,
62, 63, 64)(65, 80, 67, 78)(66, 77, 68, 79)(69, 75, 71, 73)(70, 74, 72, 76)(81,
82, 91, 92)(83, 100, 93, 90)(84, 89, 94, 99)(85, 98, 95, 88)(86, 97, 96,
87)(101, 102, 103, 104)(105, 120, 107, 118)(106, 117, 108, 119)(109, 115, 111,
113)(110, 114, 112, 116)(121, 122, 131, 132)(123, 140, 133, 130)(124, 129, 134,
139)(125, 138, 135, 128)(126, 137, 136, 127)(141, 142, 143, 144)(145, 160, 147,
158)(146, 157, 148, 159)(149, 155, 151, 153)(150, 154, 152, 156)(161, 162, 171,
172)(163, 180, 173, 170)(164, 169, 174, 179)(165, 178, 175, 168)(166, 177, 176,
167)(181, 182, 183, 184)(185, 200, 187, 198)(186, 197, 188, 199)(189, 195, 191,
193)(190, 194, 192, 196)
g: (1, 56)(2, 47)(3, 58)(4, 49)(5, 50)(6, 51)(7, 42)(8, 53)(9, 44)(10, 45)(11,
46)(12, 57)(13, 48)(14, 59)(15, 60)(16, 41)(17, 52)(18, 43)(19, 54)(20, 55)(29,
31)(30, 32)(33, 35)(34, 36)(37, 38)(39, 40)(61, 181)(62, 182)(63, 183)(64,
184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 191)(70, 192)(71, 189)(72, 190)(73,
195)(74, 196)(75, 193)(76, 194)(77, 198)(78, 197)(79, 200)(80, 199)(81, 176)(82,
167)(83, 178)(84, 169)(85, 170)(86, 171)(87, 162)(88, 173)(89, 164)(90, 165)(91,
166)(92, 177)(93, 168)(94, 179)(95, 180)(96, 161)(97, 172)(98, 163)(99,
174)(100, 175)(101, 141)(102, 142)(103, 143)(104, 144)(105, 145)(106, 146)(107,
147)(108, 148)(109, 151)(110, 152)(111, 149)(112, 150)(113, 155)(114, 156)(115,
153)(116, 154)(117, 158)(118, 157)(119, 160)(120, 159)(121, 136)(122, 127)(123,
138)(124, 129)(125, 130)(126, 131)(128, 133)(132, 137)(134, 139)(135, 140)
C4[ 200, 31 ]
200
-1 24 189 190 21
-2 22 194 195 21
-3 25 28 193 194
-4 198 199 25 26
-5 198 29 32 197
-6 182 29 183 30
-7 33 36 181 182
-8 33 187 34 186
-9 37 40 185 186
-10 190 37 191 38
-11 22 23 191 192
-12 23 24 193 196
-13 26 27 195 196
-14 200 27 28 197
-15 199 200 30 31
-16 181 184 31 32
-17 34 35 183 184
-18 188 35 36 185
-19 187 188 38 39
-20 189 192 39 40
-21 1 56 2 47
-22 11 2 46 47
-23 11 12 46 57
-24 1 12 56 57
-25 3 58 4 49
-26 13 4 48 49
-27 13 14 48 59
-28 3 14 58 59
-29 5 60 6 41
-30 15 6 50 41
-31 15 16 50 51
-32 5 16 60 51
-33 7 8 52 43
-34 17 8 42 43
-35 17 18 42 53
-36 7 18 52 53
-37 45 9 10 54
-38 44 45 19 10
-39 44 55 19 20
-40 55 9 20 54
-41 61 29 30 64
-42 34 35 61 62
-43 33 34 68 65
-44 66 38 39 65
-45 69 37 38 72
-46 22 23 69 70
-47 22 73 21 76
-48 26 27 73 74
-49 77 25 80 26
-50 77 78 30 31
-51 62 63 31 32
-52 33 36 63 64
-53 66 67 35 36
-54 67 68 37 40
-55 70 71 39 40
-56 24 71 72 21
-57 23 24 74 75
-58 25 28 75 76
-59 78 79 27 28
-60 79 80 29 32
-61 41 96 42 87
-62 51 42 86 87
-63 51 52 86 97
-64 41 52 96 97
-65 44 89 43 98
-66 44 88 89 53
-67 88 99 53 54
-68 99 43 54 98
-69 45 100 46 81
-70 55 46 90 81
-71 55 56 90 91
-72 45 56 100 91
-73 47 48 92 83
-74 57 48 82 83
-75 57 58 82 93
-76 47 58 92 93
-77 49 50 94 85
-78 59 50 84 85
-79 59 60 84 95
-80 49 60 94 95
-81 101 69 70 104
-82 101 102 74 75
-83 105 73 74 108
-84 78 79 105 106
-85 77 78 112 109
-86 110 62 63 109
-87 113 61 116 62
-88 66 67 113 114
-89 66 117 65 120
-90 70 71 117 118
-91 102 103 71 72
-92 103 104 73 76
-93 106 107 75 76
-94 77 80 107 108
-95 110 111 79 80
-96 111 112 61 64
-97 114 115 63 64
-98 68 115 116 65
-99 67 68 118 119
-100 69 72 119 120
-101 81 136 82 127
-102 91 82 126 127
-103 91 92 126 137
-104 81 92 136 137
-105 83 138 84 129
-106 93 84 128 129
-107 93 94 128 139
-108 83 94 138 139
-109 121 85 140 86
-110 121 95 86 130
-111 95 96 130 131
-112 85 96 140 131
-113 88 132 123 87
-114 88 122 123 97
-115 122 133 97 98
-116 132 133 87 98
-117 89 90 134 125
-118 99 90 124 125
-119 99 100 124 135
-120 89 100 134 135
-121 110 144 141 109
-122 114 115 141 142
-123 145 113 114 148
-124 145 146 118 119
-125 149 117 118 152
-126 102 103 149 150
-127 101 156 102 153
-128 154 106 107 153
-129 157 105 160 106
-130 110 111 157 158
-131 143 111 112 142
-132 143 144 113 116
-133 146 147 115 116
-134 147 148 117 120
-135 150 151 119 120
-136 101 104 151 152
-137 154 155 103 104
-138 155 156 105 108
-139 158 159 107 108
-140 112 159 160 109
-141 121 176 122 167
-142 122 166 167 131
-143 132 166 177 131
-144 121 132 176 177
-145 123 178 124 169
-146 133 124 168 169
-147 133 134 168 179
-148 123 134 178 179
-149 125 180 126 161
-150 135 126 170 161
-151 135 136 170 171
-152 125 136 180 171
-153 127 128 172 163
-154 137 128 162 163
-155 137 138 162 173
-156 127 138 172 173
-157 165 129 130 174
-158 165 139 130 164
-159 139 140 164 175
-160 129 140 174 175
-161 181 149 150 184
-162 154 155 181 182
-163 154 188 185 153
-164 158 159 185 186
-165 189 157 158 192
-166 143 189 190 142
-167 193 141 196 142
-168 146 147 193 194
-169 145 200 146 197
-170 198 150 151 197
-171 182 183 151 152
-172 156 183 184 153
-173 187 155 156 186
-174 187 188 157 160
-175 190 191 159 160
-176 144 191 192 141
-177 143 144 194 195
-178 145 148 195 196
-179 198 199 147 148
-180 199 200 149 152
-181 16 7 161 162
-182 6 171 7 162
-183 6 17 171 172
-184 16 17 161 172
-185 18 9 163 164
-186 8 173 9 164
-187 8 19 173 174
-188 18 19 163 174
-189 165 1 166 20
-190 1 166 10 175
-191 11 176 10 175
-192 11 165 176 20
-193 12 167 3 168
-194 177 2 3 168
-195 177 2 13 178
-196 12 13 167 178
-197 14 169 5 170
-198 179 4 5 170
-199 179 4 15 180
-200 14 15 169 180
0