C4graphGraph forms for C4 [ 192, 4 ] = {4,4}_[12,8]

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On this page are computer-accessible forms for the graph C4[ 192, 4 ] = {4,4}_[12,8].

(I) Following is a form readable by MAGMA:

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

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

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