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On this page are computer-accessible forms for the graph C4[ 185, 2 ] = C_185(1,43).

(I) Following is a form readable by MAGMA:

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

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

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