[Home] [Table] [Glossary] [Families]

On this page are computer-accessible forms for the graph C4[ 192, 46 ] = KE_48(1,11,2,39,1).

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

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

(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.

**************

&Graph
C4[ 192, 46 ]
192
-1 2 48 86 97
-2 1 3 87 98
-3 88 99 2 4
-4 89 100 3 5
-5 90 101 4 6
-6 91 102 5 7
-7 92 103 6 8
-8 93 104 7 9
-9 94 105 8 10
-10 11 95 106 9
-11 12 96 107 10
-12 11 13 49 108
-13 12 14 50 109
-14 110 13 15 51
-15 111 14 16 52
-16 112 15 17 53
-17 113 16 18 54
-18 55 114 17 19
-19 56 115 18 20
-20 57 116 19 21
-21 22 58 117 20
-22 23 59 118 21
-23 22 24 60 119
-24 23 25 61 120
-25 121 24 26 62
-26 122 25 27 63
-27 123 26 28 64
-28 124 27 29 65
-29 66 125 28 30
-30 67 126 29 31
-31 68 127 30 32
-32 33 69 128 31
-33 34 70 129 32
-34 33 35 71 130
-35 34 36 72 131
-36 132 35 37 73
-37 133 36 38 74
-38 134 37 39 75
-39 135 38 40 76
-40 77 136 39 41
-41 78 137 40 42
-42 79 138 41 43
-43 44 80 139 42
-44 45 81 140 43
-45 44 46 82 141
-46 45 47 83 142
-47 143 46 48 84
-48 1 144 47 85
-49 99 12 184 97
-50 100 13 185 98
-51 99 101 14 186
-52 187 100 102 15
-53 188 101 103 16
-54 189 102 104 17
-55 190 103 105 18
-56 191 104 106 19
-57 192 105 107 20
-58 145 106 108 21
-59 22 146 107 109
-60 110 23 147 108
-61 111 24 148 109
-62 110 112 25 149
-63 111 113 26 150
-64 112 114 27 151
-65 113 115 28 152
-66 114 116 29 153
-67 154 115 117 30
-68 155 116 118 31
-69 156 117 119 32
-70 33 157 118 120
-71 121 34 158 119
-72 122 35 159 120
-73 121 123 36 160
-74 122 124 37 161
-75 123 125 38 162
-76 124 126 39 163
-77 125 127 40 164
-78 165 126 128 41
-79 166 127 129 42
-80 167 128 130 43
-81 44 168 129 131
-82 132 45 169 130
-83 133 46 170 131
-84 132 134 47 171
-85 133 135 48 172
-86 1 134 136 173
-87 2 135 137 174
-88 3 136 138 175
-89 176 4 137 139
-90 177 5 138 140
-91 178 6 139 141
-92 179 7 140 142
-93 143 180 8 141
-94 144 181 9 142
-95 143 182 97 10
-96 11 144 183 98
-97 1 145 49 95
-98 2 146 50 96
-99 3 147 49 51
-100 4 148 50 52
-101 5 149 51 53
-102 6 150 52 54
-103 55 7 151 53
-104 56 8 152 54
-105 55 57 9 153
-106 154 56 58 10
-107 11 155 57 59
-108 12 156 58 60
-109 13 157 59 61
-110 14 158 60 62
-111 15 159 61 63
-112 16 160 62 64
-113 17 161 63 65
-114 66 18 162 64
-115 67 19 163 65
-116 66 68 20 164
-117 165 67 69 21
-118 22 166 68 70
-119 23 167 69 71
-120 24 168 70 72
-121 25 169 71 73
-122 26 170 72 74
-123 27 171 73 75
-124 28 172 74 76
-125 77 29 173 75
-126 78 30 174 76
-127 77 79 31 175
-128 176 78 80 32
-129 33 177 79 81
-130 34 178 80 82
-131 35 179 81 83
-132 36 180 82 84
-133 37 181 83 85
-134 38 182 84 86
-135 39 183 85 87
-136 88 40 184 86
-137 89 41 185 87
-138 88 90 42 186
-139 187 89 91 43
-140 44 188 90 92
-141 45 189 91 93
-142 46 190 92 94
-143 47 191 93 95
-144 48 192 94 96
-145 58 146 192 97
-146 145 59 147 98
-147 99 146 60 148
-148 100 147 61 149
-149 101 148 62 150
-150 102 149 63 151
-151 103 150 64 152
-152 104 151 65 153
-153 66 154 105 152
-154 67 155 106 153
-155 154 68 156 107
-156 155 69 157 108
-157 156 70 158 109
-158 110 157 71 159
-159 111 158 72 160
-160 112 159 73 161
-161 113 160 74 162
-162 114 161 75 163
-163 115 162 76 164
-164 77 165 116 163
-165 78 166 117 164
-166 165 79 167 118
-167 166 80 168 119
-168 167 81 169 120
-169 121 168 82 170
-170 122 169 83 171
-171 123 170 84 172
-172 124 171 85 173
-173 125 172 86 174
-174 126 173 87 175
-175 88 176 127 174
-176 89 177 128 175
-177 176 90 178 129
-178 177 91 179 130
-179 178 92 180 131
-180 132 179 93 181
-181 133 180 94 182
-182 134 181 95 183
-183 135 182 96 184
-184 136 49 183 185
-185 137 50 184 186
-186 187 138 51 185
-187 188 139 52 186
-188 187 189 140 53
-189 188 190 141 54
-190 55 189 191 142
-191 143 56 190 192
-192 144 57 145 191
0

**************