C4graphGraph forms for C4 [ 236, 2 ] = R_118(61,60)

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On this page are computer-accessible forms for the graph C4[ 236, 2 ] = R_118(61,60).

(I) Following is a form readable by MAGMA:

g:=Graph<236|{ {2, 3}, {72, 73}, {70, 71}, {68, 69}, {66, 67}, {64, 65}, {62, 63}, {60, 61}, {58, 59}, {56, 57}, {54, 55}, {52, 53}, {50, 51}, {48, 49}, {46, 47}, {44, 45}, {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}, {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}, {69, 70}, {65, 66}, {61, 62}, {57, 58}, {53, 54}, {49, 50}, {45, 46}, {5, 6}, {9, 10}, {13, 14}, {17, 18}, {21, 22}, {25, 26}, {29, 30}, {33, 34}, {37, 38}, {41, 42}, {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}, {67, 68}, {59, 60}, {51, 52}, {11, 12}, {19, 20}, {27, 28}, {35, 36}, {43, 44}, {75, 76}, {83, 84}, {91, 92}, {99, 100}, {107, 108}, {115, 116}, {7, 8}, {71, 72}, {55, 56}, {23, 24}, {39, 40}, {87, 88}, {103, 104}, {15, 16}, {47, 48}, {79, 80}, {111, 112}, {64, 121}, {70, 127}, {68, 125}, {66, 123}, {128, 186}, {133, 191}, {132, 190}, {129, 187}, {65, 122}, {69, 126}, {128, 188}, {131, 191}, {130, 190}, {129, 189}, {130, 188}, {131, 189}, {31, 32}, {67, 124}, {95, 96}, {132, 192}, {175, 235}, {174, 234}, {173, 233}, {172, 232}, {167, 227}, {166, 226}, {165, 225}, {164, 224}, {159, 219}, {158, 218}, {157, 217}, {156, 216}, {151, 211}, {150, 210}, {149, 209}, {148, 208}, {143, 203}, {142, 202}, {141, 201}, {140, 200}, {135, 195}, {134, 194}, {133, 193}, {134, 192}, {175, 233}, {174, 232}, {167, 225}, {166, 224}, {159, 217}, {158, 216}, {151, 209}, {150, 208}, {143, 201}, {142, 200}, {135, 193}, {63, 120}, {62, 119}, {136, 194}, {173, 231}, {172, 230}, {169, 227}, {168, 226}, {157, 215}, {156, 214}, {153, 211}, {152, 210}, {141, 199}, {140, 198}, {137, 195}, {136, 196}, {171, 231}, {170, 230}, {169, 229}, {168, 228}, {155, 215}, {154, 214}, {153, 213}, {152, 212}, {139, 199}, {138, 198}, {137, 197}, {138, 196}, {171, 229}, {170, 228}, {155, 213}, {154, 212}, {139, 197}, {144, 202}, {177, 235}, {176, 234}, {149, 207}, {148, 206}, {145, 203}, {144, 204}, {176, 236}, {147, 207}, {146, 206}, {145, 205}, {146, 204}, {178, 236}, {147, 205}, {1, 119}, {8, 126}, {9, 127}, {1, 118}, {2, 120}, {165, 223}, {164, 222}, {161, 219}, {160, 218}, {3, 121}, {6, 124}, {7, 125}, {160, 220}, {163, 223}, {162, 222}, {161, 221}, {4, 122}, {163, 221}, {162, 220}, {5, 123}, {63, 64}, {10, 128}, {63, 181}, {62, 180}, {59, 177}, {58, 176}, {47, 165}, {46, 164}, {11, 129}, {14, 132}, {15, 133}, {26, 144}, {27, 145}, {30, 148}, {31, 149}, {42, 160}, {43, 161}, {74, 192}, {75, 193}, {78, 196}, {79, 197}, {90, 208}, {91, 209}, {94, 212}, {95, 213}, {106, 224}, {107, 225}, {110, 228}, {111, 229}, {12, 130}, {61, 179}, {60, 178}, {45, 163}, {44, 162}, {13, 131}, {28, 146}, {29, 147}, {76, 194}, {77, 195}, {92, 210}, {93, 211}, {108, 226}, {109, 227}, {16, 134}, {57, 175}, {56, 174}, {49, 167}, {48, 166}, {17, 135}, {24, 142}, {25, 143}, {80, 198}, {81, 199}, {88, 206}, {89, 207}, {112, 230}, {113, 231}, {18, 136}, {55, 173}, {54, 172}, {51, 169}, {50, 168}, {19, 137}, {22, 140}, {23, 141}, {82, 200}, {83, 201}, {86, 204}, {87, 205}, {114, 232}, {115, 233}, {118, 236}, {20, 138}, {53, 171}, {52, 170}, {21, 139}, {84, 202}, {85, 203}, {116, 234}, {117, 235}, {16, 191}, {1, 176}, {3, 178}, {5, 180}, {7, 182}, {9, 184}, {11, 186}, {13, 188}, {15, 190}, {2, 177}, {6, 181}, {10, 185}, {14, 189}, {32, 150}, {33, 151}, {40, 158}, {41, 159}, {96, 214}, {97, 215}, {104, 222}, {105, 223}, {4, 179}, {12, 187}, {34, 152}, {35, 153}, {38, 156}, {39, 157}, {98, 216}, {99, 217}, {102, 220}, {103, 221}, {36, 154}, {37, 155}, {100, 218}, {101, 219}, {8, 183}, {119, 179}, {127, 187}, {126, 186}, {125, 185}, {124, 184}, {119, 177}, {127, 185}, {126, 184}, {71, 128}, {79, 136}, {87, 144}, {95, 152}, {103, 160}, {111, 168}, {72, 129}, {74, 131}, {76, 133}, {78, 135}, {88, 145}, {90, 147}, {92, 149}, {94, 151}, {104, 161}, {106, 163}, {108, 165}, {110, 167}, {120, 178}, {125, 183}, {124, 182}, {121, 179}, {73, 130}, {77, 134}, {89, 146}, {93, 150}, {105, 162}, {109, 166}, {120, 180}, {123, 183}, {122, 182}, {121, 181}, {122, 180}, {123, 181}, {75, 132}, {91, 148}, {107, 164}, {17, 192}, {61, 236}, {59, 234}, {57, 232}, {55, 230}, {53, 228}, {51, 226}, {49, 224}, {19, 194}, {21, 196}, {23, 198}, {25, 200}, {27, 202}, {29, 204}, {31, 206}, {18, 193}, {58, 233}, {54, 229}, {50, 225}, {22, 197}, {26, 201}, {30, 205}, {20, 195}, {60, 235}, {52, 227}, {28, 203}, {80, 137}, {82, 139}, {84, 141}, {86, 143}, {112, 169}, {114, 171}, {116, 173}, {118, 175}, {81, 138}, {85, 142}, {113, 170}, {117, 174}, {24, 199}, {56, 231}, {83, 140}, {115, 172}, {32, 207}, {48, 223}, {33, 208}, {47, 222}, {45, 220}, {35, 210}, {37, 212}, {39, 214}, {41, 216}, {43, 218}, {34, 209}, {46, 221}, {38, 213}, {42, 217}, {64, 182}, {72, 190}, {65, 183}, {73, 191}, {36, 211}, {44, 219}, {96, 153}, {98, 155}, {100, 157}, {102, 159}, {66, 184}, {71, 189}, {70, 188}, {67, 185}, {97, 154}, {101, 158}, {68, 186}, {69, 187}, {40, 215}, {99, 156} }>;

(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: (4, 121)(5, 64)(6, 182)(63, 180)(65, 123)(122, 181)
b: (9, 126)(10, 186)(68, 185)(69, 127)
c: (53, 170)(54, 230)(112, 229)(113, 171)
d: (23, 140)(24, 200)(82, 199)(83, 141)
e: (33, 150)(34, 210)(92, 209)(93, 151)
f: (38, 155)(39, 98)(40, 216)(97, 214)(99, 157)(156, 215)
g: (29, 146)(30, 206)(88, 205)(89, 147)
h: (36, 153)(37, 96)(38, 214)(95, 212)(97, 155)(154, 213)
m: (7, 124)(8, 184)(66, 183)(67, 125)
n1: (8, 125)(9, 68)(10, 186)(67, 184)(69, 127)(126, 185)
a1: (27, 144)(28, 204)(86, 203)(87, 145)
b1: (42, 159)(43, 102)(44, 220)(101, 218)(103, 161)(160, 219)
c1: (40, 157)(41, 100)(42, 218)(99, 216)(101, 159)(158, 217)
d1: (48, 165)(49, 108)(50, 226)(107, 224)(109, 167)(166, 225)
e1: (13, 130)(14, 190)(72, 189)(73, 131)
f1: (41, 158)(42, 218)(100, 217)(101, 159)
g1: (30, 147)(31, 90)(32, 208)(89, 206)(91, 149)(148, 207)
h1: (11, 128)(12, 188)(70, 187)(71, 129)
m1: (5, 122)(6, 182)(64, 181)(65, 123)
n2: (32, 149)(33, 92)(34, 210)(91, 208)(93, 151)(150, 209)
a2: (24, 141)(25, 84)(26, 202)(83, 200)(85, 143)(142, 201)
b2: (46, 163)(47, 106)(48, 224)(105, 222)(107, 165)(164, 223)
c2: (15, 132)(16, 192)(74, 191)(75, 133)
d2: (56, 173)(57, 116)(58, 234)(115, 232)(117, 175)(174, 233)
e2: (55, 172)(56, 232)(114, 231)(115, 173)
f2: (17, 134)(18, 194)(76, 193)(77, 135)
g2: (18, 135)(19, 78)(20, 196)(77, 194)(79, 137)(136, 195)
h2: (49, 166)(50, 226)(108, 225)(109, 167)
m2: (51, 168)(52, 228)(110, 227)(111, 169)
n3: (45, 162)(46, 222)(104, 221)(105, 163)
a3: (14, 131)(15, 74)(16, 192)(73, 190)(75, 133)(132, 191)
b3: (26, 143)(27, 86)(28, 204)(85, 202)(87, 145)(144, 203)
c3: (2, 176, 119, 118)(3, 58, 179, 175)(4, 57)(5, 56)(6, 55)(7, 54)(8, 53)(9, 52)(10, 51)(11, 50)(12, 49)(13, 48)(14, 47)(15, 46)(16, 45)(17, 44)(18, 43)(19, 42)(20, 41)(21, 40)(22, 39)(23, 38)(24, 37)(25, 36)(26, 35)(27, 34)(28, 33)(29, 32)(30, 31)(59, 61, 235, 178)(62, 117, 120, 234)(63, 116)(64, 115)(65, 114)(66, 113)(67, 112)(68, 111)(69, 110)(70, 109)(71, 108)(72, 107)(73, 106)(74, 105)(75, 104)(76, 103)(77, 102)(78, 101)(79, 100)(80, 99)(81, 98)(82, 97)(83, 96)(84, 95)(85, 94)(86, 93)(87, 92)(88, 91)(89, 90)(121, 233)(122, 232)(123, 231)(124, 230)(125, 229)(126, 228)(127, 227)(128, 226)(129, 225)(130, 224)(131, 223)(132, 222)(133, 221)(134, 220)(135, 219)(136, 218)(137, 217)(138, 216)(139, 215)(140, 214)(141, 213)(142, 212)(143, 211)(144, 210)(145, 209)(146, 208)(147, 207)(148, 206)(149, 205)(150, 204)(151, 203)(152, 202)(153, 201)(154, 200)(155, 199)(156, 198)(157, 197)(158, 196)(159, 195)(160, 194)(161, 193)(162, 192)(163, 191)(164, 190)(165, 189)(166, 188)(167, 187)(168, 186)(169, 185)(170, 184)(171, 183)(172, 182)(173, 181)(174, 180)(177, 236)
d3: (52, 169)(53, 112)(54, 230)(111, 228)(113, 171)(170, 229)
e3: (16, 133)(17, 76)(18, 194)(75, 192)(77, 135)(134, 193)
f3: (58, 175)(59, 235)(117, 234)(118, 176)
g3: (54, 171)(55, 114)(56, 232)(113, 230)(115, 173)(172, 231)
h3: (39, 156)(40, 216)(98, 215)(99, 157)
m3: (31, 148)(32, 208)(90, 207)(91, 149)
n4: (6, 123)(7, 66)(8, 184)(65, 182)(67, 125)(124, 183)
a4: (35, 152)(36, 212)(94, 211)(95, 153)
b4: (57, 174)(58, 234)(116, 233)(117, 175)
c4: (22, 139)(23, 82)(24, 200)(81, 198)(83, 141)(140, 199)
d4: (28, 145)(29, 88)(30, 206)(87, 204)(89, 147)(146, 205)
e4: (10, 127)(11, 70)(12, 188)(69, 186)(71, 129)(128, 187)
f4: (21, 138)(22, 198)(80, 197)(81, 139)
g4: (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, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236)
h4: (34, 151)(35, 94)(36, 212)(93, 210)(95, 153)(152, 211)
m4: (37, 154)(38, 214)(96, 213)(97, 155)
n5: (12, 129)(13, 72)(14, 190)(71, 188)(73, 131)(130, 189)
a5: (25, 142)(26, 202)(84, 201)(85, 143)
b5: (50, 167)(51, 110)(52, 228)(109, 226)(111, 169)(168, 227)
c5: (19, 136)(20, 196)(78, 195)(79, 137)
d5: (44, 161)(45, 104)(46, 222)(103, 220)(105, 163)(162, 221)
e5: (20, 137)(21, 80)(22, 198)(79, 196)(81, 139)(138, 197)
f5: (43, 160)(44, 220)(102, 219)(103, 161)
g5: (47, 164)(48, 224)(106, 223)(107, 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.

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

&Graph
C4[ 236, 2 ]
236
-1 176 2 118 119
-2 1 177 3 120
-3 121 2 178 4
-4 122 3 179 5
-5 123 4 180 6
-6 124 5 181 7
-7 125 6 182 8
-8 126 7 183 9
-9 127 8 184 10
-10 11 128 9 185
-11 12 129 10 186
-12 11 187 13 130
-13 12 188 14 131
-14 132 13 189 15
-15 133 14 190 16
-16 134 15 191 17
-17 135 16 192 18
-18 136 17 193 19
-19 137 18 194 20
-20 138 19 195 21
-21 22 139 20 196
-22 23 140 21 197
-23 22 198 24 141
-24 23 199 25 142
-25 143 24 200 26
-26 144 25 201 27
-27 145 26 202 28
-28 146 27 203 29
-29 147 28 204 30
-30 148 29 205 31
-31 149 30 206 32
-32 33 150 31 207
-33 34 151 32 208
-34 33 209 35 152
-35 34 210 36 153
-36 154 35 211 37
-37 155 36 212 38
-38 156 37 213 39
-39 157 38 214 40
-40 158 39 215 41
-41 159 40 216 42
-42 160 41 217 43
-43 44 161 42 218
-44 45 162 43 219
-45 44 220 46 163
-46 45 221 47 164
-47 165 46 222 48
-48 166 47 223 49
-49 167 48 224 50
-50 168 49 225 51
-51 169 50 226 52
-52 170 51 227 53
-53 171 52 228 54
-54 55 172 53 229
-55 56 173 54 230
-56 55 231 57 174
-57 56 232 58 175
-58 176 57 233 59
-59 177 58 234 60
-60 178 59 235 61
-61 179 60 236 62
-62 180 61 63 119
-63 181 62 64 120
-64 121 182 63 65
-65 66 122 183 64
-66 67 123 184 65
-67 66 68 124 185
-68 67 69 125 186
-69 187 68 70 126
-70 188 69 71 127
-71 189 70 72 128
-72 190 71 73 129
-73 191 72 74 130
-74 192 73 75 131
-75 132 193 74 76
-76 77 133 194 75
-77 78 134 195 76
-78 77 79 135 196
-79 78 80 136 197
-80 198 79 81 137
-81 199 80 82 138
-82 200 81 83 139
-83 201 82 84 140
-84 202 83 85 141
-85 203 84 86 142
-86 143 204 85 87
-87 88 144 205 86
-88 89 145 206 87
-89 88 90 146 207
-90 89 91 147 208
-91 209 90 92 148
-92 210 91 93 149
-93 211 92 94 150
-94 212 93 95 151
-95 213 94 96 152
-96 214 95 97 153
-97 154 215 96 98
-98 99 155 216 97
-99 100 156 217 98
-100 99 101 157 218
-101 100 102 158 219
-102 220 101 103 159
-103 221 102 104 160
-104 222 103 105 161
-105 223 104 106 162
-106 224 105 107 163
-107 225 106 108 164
-108 165 226 107 109
-109 110 166 227 108
-110 111 167 228 109
-111 110 112 168 229
-112 111 113 169 230
-113 231 112 114 170
-114 232 113 115 171
-115 233 114 116 172
-116 234 115 117 173
-117 235 116 118 174
-118 1 236 117 175
-119 1 177 179 62
-120 2 178 180 63
-121 3 179 181 64
-122 4 180 182 65
-123 66 5 181 183
-124 67 6 182 184
-125 68 7 183 185
-126 69 8 184 186
-127 187 70 9 185
-128 188 71 10 186
-129 11 187 189 72
-130 12 188 190 73
-131 13 189 191 74
-132 14 190 192 75
-133 15 191 193 76
-134 77 16 192 194
-135 78 17 193 195
-136 79 18 194 196
-137 80 19 195 197
-138 198 81 20 196
-139 199 82 21 197
-140 22 198 200 83
-141 23 199 201 84
-142 24 200 202 85
-143 25 201 203 86
-144 26 202 204 87
-145 88 27 203 205
-146 89 28 204 206
-147 90 29 205 207
-148 91 30 206 208
-149 209 92 31 207
-150 210 93 32 208
-151 33 209 211 94
-152 34 210 212 95
-153 35 211 213 96
-154 36 212 214 97
-155 37 213 215 98
-156 99 38 214 216
-157 100 39 215 217
-158 101 40 216 218
-159 102 41 217 219
-160 220 103 42 218
-161 221 104 43 219
-162 44 220 222 105
-163 45 221 223 106
-164 46 222 224 107
-165 47 223 225 108
-166 48 224 226 109
-167 110 49 225 227
-168 111 50 226 228
-169 112 51 227 229
-170 113 52 228 230
-171 231 114 53 229
-172 232 115 54 230
-173 55 231 233 116
-174 56 232 234 117
-175 57 233 235 118
-176 1 58 234 236
-177 2 59 235 119
-178 3 60 236 120
-179 121 4 61 119
-180 122 5 62 120
-181 121 123 6 63
-182 122 124 7 64
-183 123 125 8 65
-184 66 124 126 9
-185 67 125 127 10
-186 11 68 126 128
-187 12 69 127 129
-188 13 70 128 130
-189 14 71 129 131
-190 132 15 72 130
-191 133 16 73 131
-192 132 134 17 74
-193 133 135 18 75
-194 134 136 19 76
-195 77 135 137 20
-196 78 136 138 21
-197 22 79 137 139
-198 23 80 138 140
-199 24 81 139 141
-200 25 82 140 142
-201 143 26 83 141
-202 144 27 84 142
-203 143 145 28 85
-204 144 146 29 86
-205 145 147 30 87
-206 88 146 148 31
-207 89 147 149 32
-208 33 90 148 150
-209 34 91 149 151
-210 35 92 150 152
-211 36 93 151 153
-212 154 37 94 152
-213 155 38 95 153
-214 154 156 39 96
-215 155 157 40 97
-216 156 158 41 98
-217 99 157 159 42
-218 100 158 160 43
-219 44 101 159 161
-220 45 102 160 162
-221 46 103 161 163
-222 47 104 162 164
-223 165 48 105 163
-224 166 49 106 164
-225 165 167 50 107
-226 166 168 51 108
-227 167 169 52 109
-228 110 168 170 53
-229 111 169 171 54
-230 55 112 170 172
-231 56 113 171 173
-232 57 114 172 174
-233 58 115 173 175
-234 176 59 116 174
-235 177 60 117 175
-236 176 178 61 118
0

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