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On this page are computer-accessible forms for the graph C4[ 175, 2 ] = {4,4}_<20,15>.

(I) Following is a form readable by MAGMA:

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

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

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