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

On this page are computer-accessible forms for the graph C4[ 192, 52 ] = KE_48(1,25,10,45,11).

(I) Following is a form readable by MAGMA:

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

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

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

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