C4graphGraph forms for C4 [ 200, 15 ] = R_100(52,51)

[Home] [Table] [Glossary] [Families]

On this page are computer-accessible forms for the graph C4[ 200, 15 ] = R_100(52,51).

(I) Following is a form readable by MAGMA:

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

(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: (46, 145)(47, 97)(48, 197)(96, 195)(98, 147)(146, 196)
b: (39, 138)(40, 189)(89, 188)(90, 139)
c: (2, 149)(3, 49)(4, 48)(5, 47)(6, 46)(7, 45)(8, 44)(9, 43)(10, 42)(11, 41)(12, 40)(13, 39)(14, 38)(15, 37)(16, 36)(17, 35)(18, 34)(19, 33)(20, 32)(21, 31)(22, 30)(23, 29)(24, 28)(25, 27)(50, 151)(52, 199)(53, 99)(54, 98)(55, 97)(56, 96)(57, 95)(58, 94)(59, 93)(60, 92)(61, 91)(62, 90)(63, 89)(64, 88)(65, 87)(66, 86)(67, 85)(68, 84)(69, 83)(70, 82)(71, 81)(72, 80)(73, 79)(74, 78)(75, 77)(100, 101)(102, 198)(103, 197)(104, 196)(105, 195)(106, 194)(107, 193)(108, 192)(109, 191)(110, 190)(111, 189)(112, 188)(113, 187)(114, 186)(115, 185)(116, 184)(117, 183)(118, 182)(119, 181)(120, 180)(121, 179)(122, 178)(123, 177)(124, 176)(125, 175)(126, 174)(127, 173)(128, 172)(129, 171)(130, 170)(131, 169)(132, 168)(133, 167)(134, 166)(135, 165)(136, 164)(137, 163)(138, 162)(139, 161)(140, 160)(141, 159)(142, 158)(143, 157)(144, 156)(145, 155)(146, 154)(147, 153)(148, 152)(150, 200)
d: (44, 143)(45, 95)(46, 195)(94, 193)(96, 145)(144, 194)
e: (27, 126)(28, 177)(77, 176)(78, 127)
f: (32, 131)(33, 83)(34, 183)(82, 181)(84, 133)(132, 182)
g: (33, 132)(34, 183)(83, 182)(84, 133)
h: (31, 130)(32, 181)(81, 180)(82, 131)
m: (9, 108)(10, 159)(59, 158)(60, 109)
n1: (49, 148)(50, 199)(99, 198)(100, 149)
a1: (34, 133)(35, 85)(36, 185)(84, 183)(86, 135)(134, 184)
b1: (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)
c1: (10, 109)(11, 61)(12, 161)(60, 159)(62, 111)(110, 160)
d1: (7, 106)(8, 157)(57, 156)(58, 107)
e1: (29, 128)(30, 179)(79, 178)(80, 129)
f1: (30, 129)(31, 81)(32, 181)(80, 179)(82, 131)(130, 180)
g1: (36, 135)(37, 87)(38, 187)(86, 185)(88, 137)(136, 186)
h1: (38, 137)(39, 89)(40, 189)(88, 187)(90, 139)(138, 188)
m1: (42, 141)(43, 93)(44, 193)(92, 191)(94, 143)(142, 192)
n2: (22, 121)(23, 73)(24, 173)(72, 171)(74, 123)(122, 172)
a2: (14, 113)(15, 65)(16, 165)(64, 163)(66, 115)(114, 164)
b2: (11, 110)(12, 161)(61, 160)(62, 111)
c2: (43, 142)(44, 193)(93, 192)(94, 143)
d2: (23, 122)(24, 173)(73, 172)(74, 123)
e2: (40, 139)(41, 91)(42, 191)(90, 189)(92, 141)(140, 190)
f2: (18, 117)(19, 69)(20, 169)(68, 167)(70, 119)(118, 168)
g2: (6, 105)(7, 57)(8, 157)(56, 155)(58, 107)(106, 156)
h2: (24, 123)(25, 75)(26, 175)(74, 173)(76, 125)(124, 174)
m2: (20, 119)(21, 71)(22, 171)(70, 169)(72, 121)(120, 170)
n3: (47, 146)(48, 197)(97, 196)(98, 147)
a3: (19, 118)(20, 169)(69, 168)(70, 119)
b3: (25, 124)(26, 175)(75, 174)(76, 125)
c3: (17, 116)(18, 167)(67, 166)(68, 117)
d3: (45, 144)(46, 195)(95, 194)(96, 145)
e3: (26, 125)(27, 77)(28, 177)(76, 175)(78, 127)(126, 176)
f3: (13, 112)(14, 163)(63, 162)(64, 113)
g3: (4, 103)(5, 55)(6, 155)(54, 153)(56, 105)(104, 154)
h3: (15, 114)(16, 165)(65, 164)(66, 115)
m3: (21, 120)(22, 171)(71, 170)(72, 121)
n4: (28, 127)(29, 79)(30, 179)(78, 177)(80, 129)(128, 178)
a4: (41, 140)(42, 191)(91, 190)(92, 141)
b4: (8, 107)(9, 59)(10, 159)(58, 157)(60, 109)(108, 158)
c4: (12, 111)(13, 63)(14, 163)(62, 161)(64, 113)(112, 162)
d4: (48, 147)(49, 99)(50, 199)(98, 197)(100, 149)(148, 198)
e4: (37, 136)(38, 187)(87, 186)(88, 137)
f4: (35, 134)(36, 185)(85, 184)(86, 135)
g4: (16, 115)(17, 67)(18, 167)(66, 165)(68, 117)(116, 166)
h4: (5, 104)(6, 155)(55, 154)(56, 105)

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

**************