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

On this page are computer-accessible forms for the graph C4[ 192, 47 ] = KE_48(1,15,2,35,1).

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

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

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

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