C4graphGraph forms for C4 [ 188, 2 ] = R_94(49,48)

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On this page are computer-accessible forms for the graph C4[ 188, 2 ] = R_94(49,48).

(I) Following is a form readable by MAGMA:

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

(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: (7, 100)(8, 148)(54, 147)(55, 101)
b: (32, 125)(33, 80)(34, 174)(79, 172)(81, 127)(126, 173)
c: (20, 113)(21, 68)(22, 162)(67, 160)(69, 115)(114, 161)
d: (46, 139)(47, 187)(93, 186)(94, 140)
e: (39, 132)(40, 180)(86, 179)(87, 133)
f: (44, 137)(45, 92)(46, 186)(91, 184)(93, 139)(138, 185)
g: (30, 123)(31, 78)(32, 172)(77, 170)(79, 125)(124, 171)
h: (19, 112)(20, 160)(66, 159)(67, 113)
m: (29, 122)(30, 170)(76, 169)(77, 123)
n1: (17, 110)(18, 158)(64, 157)(65, 111)
a1: (15, 108)(16, 156)(62, 155)(63, 109)
b1: (2, 140, 95, 94)(3, 46, 143, 139)(4, 45)(5, 44)(6, 43)(7, 42)(8, 41)(9, 40)(10, 39)(11, 38)(12, 37)(13, 36)(14, 35)(15, 34)(16, 33)(17, 32)(18, 31)(19, 30)(20, 29)(21, 28)(22, 27)(23, 26)(24, 25)(47, 49, 187, 142)(50, 93, 96, 186)(51, 92)(52, 91)(53, 90)(54, 89)(55, 88)(56, 87)(57, 86)(58, 85)(59, 84)(60, 83)(61, 82)(62, 81)(63, 80)(64, 79)(65, 78)(66, 77)(67, 76)(68, 75)(69, 74)(70, 73)(71, 72)(97, 185)(98, 184)(99, 183)(100, 182)(101, 181)(102, 180)(103, 179)(104, 178)(105, 177)(106, 176)(107, 175)(108, 174)(109, 173)(110, 172)(111, 171)(112, 170)(113, 169)(114, 168)(115, 167)(116, 166)(117, 165)(118, 164)(119, 163)(120, 162)(121, 161)(122, 160)(123, 159)(124, 158)(125, 157)(126, 156)(127, 155)(128, 154)(129, 153)(130, 152)(131, 151)(132, 150)(133, 149)(134, 148)(135, 147)(136, 146)(137, 145)(138, 144)(141, 188)
c1: (38, 131)(39, 86)(40, 180)(85, 178)(87, 133)(132, 179)
d1: (45, 138)(46, 186)(92, 185)(93, 139)
e1: (8, 101)(9, 56)(10, 150)(55, 148)(57, 103)(102, 149)
f1: (25, 118)(26, 166)(72, 165)(73, 119)
g1: (12, 105)(13, 60)(14, 154)(59, 152)(61, 107)(106, 153)
h1: (16, 109)(17, 64)(18, 158)(63, 156)(65, 111)(110, 157)
m1: (27, 120)(28, 168)(74, 167)(75, 121)
n2: (43, 136)(44, 184)(90, 183)(91, 137)
a2: (26, 119)(27, 74)(28, 168)(73, 166)(75, 121)(120, 167)
b2: (33, 126)(34, 174)(80, 173)(81, 127)
c2: (9, 102)(10, 150)(56, 149)(57, 103)
d2: (14, 107)(15, 62)(16, 156)(61, 154)(63, 109)(108, 155)
e2: (22, 115)(23, 70)(24, 164)(69, 162)(71, 117)(116, 163)
f2: (4, 97)(5, 52)(6, 146)(51, 144)(53, 99)(98, 145)
g2: (23, 116)(24, 164)(70, 163)(71, 117)
h2: (35, 128)(36, 176)(82, 175)(83, 129)
m2: (13, 106)(14, 154)(60, 153)(61, 107)
n3: (31, 124)(32, 172)(78, 171)(79, 125)
a3: (37, 130)(38, 178)(84, 177)(85, 131)
b3: (42, 135)(43, 90)(44, 184)(89, 182)(91, 137)(136, 183)
c3: (40, 133)(41, 88)(42, 182)(87, 180)(89, 135)(134, 181)
d3: (6, 99)(7, 54)(8, 148)(53, 146)(55, 101)(100, 147)
e3: (11, 104)(12, 152)(58, 151)(59, 105)
f3: (18, 111)(19, 66)(20, 160)(65, 158)(67, 113)(112, 159)
g3: (5, 98)(6, 146)(52, 145)(53, 99)
h3: (34, 127)(35, 82)(36, 176)(81, 174)(83, 129)(128, 175)
m3: (28, 121)(29, 76)(30, 170)(75, 168)(77, 123)(122, 169)
n4: (10, 103)(11, 58)(12, 152)(57, 150)(59, 105)(104, 151)
a4: (41, 134)(42, 182)(88, 181)(89, 135)
b4: (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)
c4: (24, 117)(25, 72)(26, 166)(71, 164)(73, 119)(118, 165)
d4: (36, 129)(37, 84)(38, 178)(83, 176)(85, 131)(130, 177)
e4: (21, 114)(22, 162)(68, 161)(69, 115)

(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.

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

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