C4graphGraph forms for C4 [ 192, 9 ] = {4,4}_<26,22>

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On this page are computer-accessible forms for the graph C4[ 192, 9 ] = {4,4}_<26,22>.

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

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

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