C4graphGraph forms for C4 [ 192, 5 ] = {4,4}_<14,2>

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On this page are computer-accessible forms for the graph C4[ 192, 5 ] = {4,4}_<14,2>.

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

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

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