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On this page are computer-accessible forms for the graph C4[ 164, 2 ] = {4,4}_10,8.

(I) Following is a form readable by MAGMA:

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

(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.

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

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