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On this page are computer-accessible forms for the graph C4[ 160, 5 ] = {4,4}_12,4.

(I) Following is a form readable by MAGMA:

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

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

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