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

On this page are computer-accessible forms for the graph C4[ 168, 8 ] = {4,4}_[14,6].

(I) Following is a form readable by MAGMA:

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

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

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