C4graphGraph forms for C4 [ 192, 7 ] = {4,4}_<16,8>

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On this page are computer-accessible forms for the graph C4[ 192, 7 ] = {4,4}_<16,8>.

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

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

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