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

On this page are computer-accessible forms for the graph C4[ 190, 2 ] = C_190(1,39).

(I) Following is a form readable by MAGMA:

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

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

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