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On this page are computer-accessible forms for the graph C4[ 279, 2 ] =
DW(93,3).
(I) Following is a form readable by MAGMA:
g:=Graph<279|{ {186, 187}, {93, 94}, {2, 94}, {163, 255}, {162, 254}, {161,
253}, {160, 252}, {3, 95}, {32, 124}, {33, 125}, {34, 126}, {35, 127}, {128,
220}, {129, 221}, {130, 222}, {131, 223}, {1, 95}, {161, 255}, {160, 254}, {32,
126}, {33, 127}, {128, 222}, {129, 223}, {2, 96}, {159, 253}, {158, 252}, {155,
249}, {154, 248}, {151, 245}, {150, 244}, {147, 241}, {146, 240}, {143, 237},
{142, 236}, {139, 233}, {3, 97}, {6, 100}, {7, 101}, {10, 104}, {11, 105}, {14,
108}, {15, 109}, {18, 112}, {19, 113}, {22, 116}, {23, 117}, {26, 120}, {27,
121}, {30, 124}, {31, 125}, {130, 224}, {131, 225}, {134, 228}, {135, 229},
{138, 232}, {4, 96}, {159, 251}, {158, 250}, {157, 249}, {156, 248}, {151, 243},
{150, 242}, {149, 241}, {148, 240}, {143, 235}, {142, 234}, {141, 233}, {140,
232}, {5, 97}, {6, 98}, {7, 99}, {12, 104}, {13, 105}, {14, 106}, {15, 107},
{20, 112}, {21, 113}, {22, 114}, {23, 115}, {28, 120}, {29, 121}, {30, 122},
{31, 123}, {132, 224}, {133, 225}, {134, 226}, {135, 227}, {4, 98}, {157, 251},
{156, 250}, {149, 243}, {148, 242}, {141, 235}, {140, 234}, {5, 99}, {12, 106},
{13, 107}, {20, 114}, {21, 115}, {28, 122}, {29, 123}, {132, 226}, {133, 227},
{8, 100}, {155, 247}, {154, 246}, {153, 245}, {152, 244}, {139, 231}, {9, 101},
{10, 102}, {11, 103}, {24, 116}, {25, 117}, {26, 118}, {27, 119}, {136, 228},
{137, 229}, {138, 230}, {8, 102}, {153, 247}, {152, 246}, {9, 103}, {24, 118},
{25, 119}, {136, 230}, {137, 231}, {16, 108}, {147, 239}, {146, 238}, {145,
237}, {144, 236}, {17, 109}, {18, 110}, {19, 111}, {16, 110}, {145, 239}, {144,
238}, {17, 111}, {34, 128}, {63, 157}, {62, 156}, {59, 153}, {58, 152}, {55,
149}, {54, 148}, {51, 145}, {50, 144}, {47, 141}, {46, 140}, {43, 137}, {42,
136}, {35, 129}, {38, 132}, {39, 133}, {98, 192}, {99, 193}, {102, 196}, {103,
197}, {106, 200}, {107, 201}, {110, 204}, {111, 205}, {114, 208}, {115, 209},
{118, 212}, {119, 213}, {122, 216}, {123, 217}, {126, 220}, {127, 221}, {36,
128}, {63, 155}, {62, 154}, {61, 153}, {60, 152}, {55, 147}, {54, 146}, {53,
145}, {52, 144}, {47, 139}, {46, 138}, {45, 137}, {44, 136}, {37, 129}, {38,
130}, {39, 131}, {100, 192}, {101, 193}, {102, 194}, {103, 195}, {108, 200},
{109, 201}, {110, 202}, {111, 203}, {116, 208}, {117, 209}, {118, 210}, {119,
211}, {124, 216}, {125, 217}, {126, 218}, {127, 219}, {36, 130}, {61, 155}, {60,
154}, {53, 147}, {52, 146}, {45, 139}, {44, 138}, {37, 131}, {100, 194}, {101,
195}, {108, 202}, {109, 203}, {116, 210}, {117, 211}, {124, 218}, {125, 219},
{40, 132}, {59, 151}, {58, 150}, {57, 149}, {56, 148}, {43, 135}, {42, 134},
{41, 133}, {104, 196}, {105, 197}, {106, 198}, {107, 199}, {120, 212}, {121,
213}, {122, 214}, {123, 215}, {40, 134}, {57, 151}, {56, 150}, {41, 135}, {104,
198}, {105, 199}, {120, 214}, {121, 215}, {2, 187}, {66, 251}, {64, 249}, {4,
189}, {6, 191}, {68, 253}, {70, 255}, {1, 186}, {65, 250}, {64, 251}, {4, 191},
{5, 190}, {68, 255}, {69, 254}, {48, 140}, {51, 143}, {50, 142}, {49, 141},
{112, 204}, {113, 205}, {114, 206}, {115, 207}, {1, 188}, {67, 254}, {65, 252},
{3, 190}, {48, 142}, {49, 143}, {112, 206}, {113, 207}, {2, 189}, {67, 252},
{66, 253}, {3, 188}, {5, 192}, {63, 250}, {61, 248}, {55, 242}, {53, 240}, {47,
234}, {45, 232}, {7, 194}, {13, 200}, {15, 202}, {21, 208}, {23, 210}, {29,
216}, {31, 218}, {37, 224}, {39, 226}, {6, 193}, {63, 248}, {62, 249}, {55,
240}, {54, 241}, {47, 232}, {46, 233}, {7, 192}, {14, 201}, {15, 200}, {22,
209}, {23, 208}, {30, 217}, {31, 216}, {38, 225}, {39, 224}, {8, 193}, {62,
247}, {60, 245}, {58, 243}, {56, 241}, {46, 231}, {44, 229}, {42, 227}, {10,
195}, {12, 197}, {14, 199}, {24, 209}, {26, 211}, {28, 213}, {30, 215}, {40,
225}, {8, 195}, {61, 246}, {60, 247}, {57, 242}, {56, 243}, {45, 230}, {44,
231}, {9, 194}, {12, 199}, {13, 198}, {24, 211}, {25, 210}, {28, 215}, {29,
214}, {40, 227}, {41, 226}, {9, 196}, {59, 246}, {57, 244}, {43, 230}, {41,
228}, {11, 198}, {25, 212}, {27, 214}, {10, 197}, {59, 244}, {58, 245}, {43,
228}, {42, 229}, {11, 196}, {26, 213}, {27, 212}, {16, 201}, {54, 239}, {52,
237}, {50, 235}, {48, 233}, {18, 203}, {20, 205}, {22, 207}, {16, 203}, {53,
238}, {52, 239}, {49, 234}, {48, 235}, {17, 202}, {20, 207}, {21, 206}, {64,
156}, {67, 159}, {66, 158}, {65, 157}, {96, 188}, {97, 189}, {98, 190}, {99,
191}, {17, 204}, {51, 238}, {49, 236}, {19, 206}, {64, 158}, {65, 159}, {96,
190}, {97, 191}, {18, 205}, {51, 236}, {50, 237}, {19, 204}, {66, 160}, {67,
161}, {70, 164}, {71, 165}, {74, 168}, {75, 169}, {78, 172}, {79, 173}, {82,
176}, {83, 177}, {86, 180}, {87, 181}, {90, 184}, {91, 185}, {94, 188}, {95,
189}, {68, 160}, {69, 161}, {70, 162}, {71, 163}, {76, 168}, {77, 169}, {78,
170}, {79, 171}, {84, 176}, {85, 177}, {86, 178}, {87, 179}, {92, 184}, {93,
185}, {95, 187}, {68, 162}, {69, 163}, {76, 170}, {77, 171}, {84, 178}, {85,
179}, {92, 186}, {93, 187}, {72, 164}, {73, 165}, {74, 166}, {75, 167}, {88,
180}, {89, 181}, {90, 182}, {91, 183}, {72, 166}, {73, 167}, {88, 182}, {89,
183}, {32, 217}, {34, 219}, {36, 221}, {38, 223}, {32, 219}, {33, 218}, {36,
223}, {37, 222}, {80, 172}, {81, 173}, {82, 174}, {83, 175}, {33, 220}, {35,
222}, {80, 174}, {81, 175}, {34, 221}, {35, 220}, {1, 279}, {69, 256}, {71,
258}, {77, 264}, {79, 266}, {85, 272}, {87, 274}, {70, 257}, {71, 256}, {78,
265}, {79, 264}, {86, 273}, {87, 272}, {72, 257}, {74, 259}, {76, 261}, {78,
263}, {88, 273}, {90, 275}, {92, 277}, {94, 279}, {72, 259}, {73, 258}, {76,
263}, {77, 262}, {88, 275}, {89, 274}, {92, 279}, {93, 278}, {73, 260}, {75,
262}, {89, 276}, {91, 278}, {74, 261}, {75, 260}, {90, 277}, {91, 276}, {80,
265}, {82, 267}, {84, 269}, {86, 271}, {80, 267}, {81, 266}, {84, 271}, {85,
270}, {81, 268}, {83, 270}, {82, 269}, {83, 268}, {162, 256}, {183, 277}, {182,
276}, {179, 273}, {178, 272}, {175, 269}, {174, 268}, {171, 265}, {170, 264},
{167, 261}, {166, 260}, {163, 257}, {164, 256}, {183, 275}, {182, 274}, {181,
273}, {180, 272}, {175, 267}, {174, 266}, {173, 265}, {172, 264}, {167, 259},
{166, 258}, {165, 257}, {164, 258}, {181, 275}, {180, 274}, {173, 267}, {172,
266}, {165, 259}, {168, 260}, {186, 278}, {185, 277}, {184, 276}, {171, 263},
{170, 262}, {169, 261}, {168, 262}, {185, 279}, {184, 278}, {169, 263}, {176,
268}, {179, 271}, {178, 270}, {177, 269}, {176, 270}, {177, 271} }>;
(II) A more general form is to represent the graph as the orbit of {186, 187}
under the group generated by the following permutations:
a: (2, 93)(3, 92)(4, 91)(5, 90)(6, 89)(7, 88)(8, 87)(9, 86)(10, 85)(11, 84)(12,
83)(13, 82)(14, 81)(15, 80)(16, 79)(17, 78)(18, 77)(19, 76)(20, 75)(21, 74)(22,
73)(23, 72)(24, 71)(25, 70)(26, 69)(27, 68)(28, 67)(29, 66)(30, 65)(31, 64)(32,
63)(33, 62)(34, 61)(35, 60)(36, 59)(37, 58)(38, 57)(39, 56)(40, 55)(41, 54)(42,
53)(43, 52)(44, 51)(45, 50)(46, 49)(47, 48)(95, 186)(96, 185)(97, 184)(98,
183)(99, 182)(100, 181)(101, 180)(102, 179)(103, 178)(104, 177)(105, 176)(106,
175)(107, 174)(108, 173)(109, 172)(110, 171)(111, 170)(112, 169)(113, 168)(114,
167)(115, 166)(116, 165)(117, 164)(118, 163)(119, 162)(120, 161)(121, 160)(122,
159)(123, 158)(124, 157)(125, 156)(126, 155)(127, 154)(128, 153)(129, 152)(130,
151)(131, 150)(132, 149)(133, 148)(134, 147)(135, 146)(136, 145)(137, 144)(138,
143)(139, 142)(140, 141)(188, 279)(189, 278)(190, 277)(191, 276)(192, 275)(193,
274)(194, 273)(195, 272)(196, 271)(197, 270)(198, 269)(199, 268)(200, 267)(201,
266)(202, 265)(203, 264)(204, 263)(205, 262)(206, 261)(207, 260)(208, 259)(209,
258)(210, 257)(211, 256)(212, 255)(213, 254)(214, 253)(215, 252)(216, 251)(217,
250)(218, 249)(219, 248)(220, 247)(221, 246)(222, 245)(223, 244)(224, 243)(225,
242)(226, 241)(227, 240)(228, 239)(229, 238)(230, 237)(231, 236)(232, 235)(233,
234) (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 **************
b: (1, 94)(2, 95)(3, 96)(4, 97)(5, 98)(6, 99)(7, 100)(8, 101)(9, 102)(10,
103)(11, 104)(12, 105)(13, 106)(14, 107)(15, 108)(16, 109)(17, 110)(18, 111)(19,
112)(20, 113)(21, 114)(22, 115)(23, 116)(24, 117)(25, 118)(26, 119)(27, 120)(28,
121)(29, 122)(30, 123)(31, 124)(32, 125)(33, 126)(34, 127)(35, 128)(36, 129)(37,
130)(38, 131)(39, 132)(40, 133)(41, 134)(42, 135)(43, 136)(44, 137)(45, 138)(46,
139)(47, 140)(48, 141)(49, 142)(50, 143)(51, 144)(52, 145)(53, 146)(54, 147)(55,
148)(56, 149)(57, 150)(58, 151)(59, 152)(60, 153)(61, 154)(62, 155)(63, 156)(64,
157)(65, 158)(66, 159)(67, 160)(68, 161)(69, 162)(70, 163)(71, 164)(72, 165)(73,
166)(74, 167)(75, 168)(76, 169)(77, 170)(78, 171)(79, 172)(80, 173)(81, 174)(82,
175)(83, 176)(84, 177)(85, 178)(86, 179)(87, 180)(88, 181)(89, 182)(90, 183)(91,
184)(92, 185)(93, 186)
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,
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, 237, 238, 239, 240, 241, 242, 243, 244,
245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260,
261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276,
277, 278, 279)
d: (94, 187)(95, 188)(96, 189)(97, 190)(98, 191)(99, 192)(100, 193)(101,
194)(102, 195)(103, 196)(104, 197)(105, 198)(106, 199)(107, 200)(108, 201)(109,
202)(110, 203)(111, 204)(112, 205)(113, 206)(114, 207)(115, 208)(116, 209)(117,
210)(118, 211)(119, 212)(120, 213)(121, 214)(122, 215)(123, 216)(124, 217)(125,
218)(126, 219)(127, 220)(128, 221)(129, 222)(130, 223)(131, 224)(132, 225)(133,
226)(134, 227)(135, 228)(136, 229)(137, 230)(138, 231)(139, 232)(140, 233)(141,
234)(142, 235)(143, 236)(144, 237)(145, 238)(146, 239)(147, 240)(148, 241)(149,
242)(150, 243)(151, 244)(152, 245)(153, 246)(154, 247)(155, 248)(156, 249)(157,
250)(158, 251)(159, 252)(160, 253)(161, 254)(162, 255)(163, 256)(164, 257)(165,
258)(166, 259)(167, 260)(168, 261)(169, 262)(170, 263)(171, 264)(172, 265)(173,
266)(174, 267)(175, 268)(176, 269)(177, 270)(178, 271)(179, 272)(180, 273)(181,
274)(182, 275)(183, 276)(184, 277)(185, 278)(186, 279)
C4[ 279, 2 ]
279
-1 188 279 95 186
-2 187 189 94 96
-3 188 190 95 97
-4 189 191 96 98
-5 99 190 192 97
-6 100 191 193 98
-7 99 101 192 194
-8 100 102 193 195
-9 101 103 194 196
-10 102 104 195 197
-11 198 103 105 196
-12 199 104 106 197
-13 198 200 105 107
-14 199 201 106 108
-15 200 202 107 109
-16 110 201 203 108
-17 111 202 204 109
-18 110 112 203 205
-19 111 113 204 206
-20 112 114 205 207
-21 113 115 206 208
-22 209 114 116 207
-23 210 115 117 208
-24 209 211 116 118
-25 210 212 117 119
-26 211 213 118 120
-27 121 212 214 119
-28 122 213 215 120
-29 121 123 214 216
-30 122 124 215 217
-31 123 125 216 218
-32 124 126 217 219
-33 220 125 127 218
-34 221 126 128 219
-35 220 222 127 129
-36 221 223 128 130
-37 222 224 129 131
-38 132 223 225 130
-39 133 224 226 131
-40 132 134 225 227
-41 133 135 226 228
-42 134 136 227 229
-43 135 137 228 230
-44 231 136 138 229
-45 232 137 139 230
-46 231 233 138 140
-47 232 234 139 141
-48 233 235 140 142
-49 143 234 236 141
-50 144 235 237 142
-51 143 145 236 238
-52 144 146 237 239
-53 145 147 238 240
-54 146 148 239 241
-55 242 147 149 240
-56 243 148 150 241
-57 242 244 149 151
-58 243 245 150 152
-59 244 246 151 153
-60 154 245 247 152
-61 155 246 248 153
-62 154 156 247 249
-63 155 157 248 250
-64 156 158 249 251
-65 157 159 250 252
-66 253 158 160 251
-67 254 159 161 252
-68 253 255 160 162
-69 254 256 161 163
-70 255 257 162 164
-71 165 256 258 163
-72 166 257 259 164
-73 165 167 258 260
-74 166 168 259 261
-75 167 169 260 262
-76 168 170 261 263
-77 264 169 171 262
-78 265 170 172 263
-79 264 266 171 173
-80 265 267 172 174
-81 266 268 173 175
-82 176 267 269 174
-83 177 268 270 175
-84 176 178 269 271
-85 177 179 270 272
-86 178 180 271 273
-87 179 181 272 274
-88 275 180 182 273
-89 276 181 183 274
-90 275 277 182 184
-91 276 278 183 185
-92 277 279 184 186
-93 187 278 94 185
-94 188 2 279 93
-95 187 1 189 3
-96 188 2 190 4
-97 189 3 191 5
-98 190 4 192 6
-99 191 5 193 7
-100 192 6 194 8
-101 193 7 195 9
-102 194 8 196 10
-103 11 195 9 197
-104 198 12 196 10
-105 11 199 13 197
-106 198 12 200 14
-107 199 13 201 15
-108 200 14 202 16
-109 201 15 203 17
-110 202 16 204 18
-111 203 17 205 19
-112 204 18 206 20
-113 205 19 207 21
-114 22 206 20 208
-115 209 23 207 21
-116 22 210 24 208
-117 209 23 211 25
-118 210 24 212 26
-119 211 25 213 27
-120 212 26 214 28
-121 213 27 215 29
-122 214 28 216 30
-123 215 29 217 31
-124 216 30 218 32
-125 33 217 31 219
-126 220 34 218 32
-127 33 221 35 219
-128 220 34 222 36
-129 221 35 223 37
-130 222 36 224 38
-131 223 37 225 39
-132 224 38 226 40
-133 225 39 227 41
-134 226 40 228 42
-135 227 41 229 43
-136 44 228 42 230
-137 231 45 229 43
-138 44 232 46 230
-139 231 45 233 47
-140 232 46 234 48
-141 233 47 235 49
-142 234 48 236 50
-143 235 49 237 51
-144 236 50 238 52
-145 237 51 239 53
-146 238 52 240 54
-147 55 239 53 241
-148 242 56 240 54
-149 55 243 57 241
-150 242 56 244 58
-151 243 57 245 59
-152 244 58 246 60
-153 245 59 247 61
-154 246 60 248 62
-155 247 61 249 63
-156 248 62 250 64
-157 249 63 251 65
-158 66 250 64 252
-159 253 67 251 65
-160 66 254 68 252
-161 253 67 255 69
-162 254 68 256 70
-163 255 69 257 71
-164 256 70 258 72
-165 257 71 259 73
-166 258 72 260 74
-167 259 73 261 75
-168 260 74 262 76
-169 77 261 75 263
-170 264 78 262 76
-171 77 265 79 263
-172 264 78 266 80
-173 265 79 267 81
-174 266 80 268 82
-175 267 81 269 83
-176 268 82 270 84
-177 269 83 271 85
-178 270 84 272 86
-179 271 85 273 87
-180 88 272 86 274
-181 275 89 273 87
-182 88 276 90 274
-183 275 89 277 91
-184 276 90 278 92
-185 277 91 279 93
-186 187 1 278 92
-187 2 93 95 186
-188 1 3 94 96
-189 2 4 95 97
-190 3 5 96 98
-191 99 4 6 97
-192 100 5 7 98
-193 99 101 6 8
-194 100 102 7 9
-195 101 103 8 10
-196 11 102 104 9
-197 12 103 105 10
-198 11 13 104 106
-199 12 14 105 107
-200 13 15 106 108
-201 14 16 107 109
-202 110 15 17 108
-203 111 16 18 109
-204 110 112 17 19
-205 111 113 18 20
-206 112 114 19 21
-207 22 113 115 20
-208 23 114 116 21
-209 22 24 115 117
-210 23 25 116 118
-211 24 26 117 119
-212 25 27 118 120
-213 121 26 28 119
-214 122 27 29 120
-215 121 123 28 30
-216 122 124 29 31
-217 123 125 30 32
-218 33 124 126 31
-219 34 125 127 32
-220 33 35 126 128
-221 34 36 127 129
-222 35 37 128 130
-223 36 38 129 131
-224 132 37 39 130
-225 133 38 40 131
-226 132 134 39 41
-227 133 135 40 42
-228 134 136 41 43
-229 44 135 137 42
-230 45 136 138 43
-231 44 46 137 139
-232 45 47 138 140
-233 46 48 139 141
-234 47 49 140 142
-235 143 48 50 141
-236 144 49 51 142
-237 143 145 50 52
-238 144 146 51 53
-239 145 147 52 54
-240 55 146 148 53
-241 56 147 149 54
-242 55 57 148 150
-243 56 58 149 151
-244 57 59 150 152
-245 58 60 151 153
-246 154 59 61 152
-247 155 60 62 153
-248 154 156 61 63
-249 155 157 62 64
-250 156 158 63 65
-251 66 157 159 64
-252 67 158 160 65
-253 66 68 159 161
-254 67 69 160 162
-255 68 70 161 163
-256 69 71 162 164
-257 165 70 72 163
-258 166 71 73 164
-259 165 167 72 74
-260 166 168 73 75
-261 167 169 74 76
-262 77 168 170 75
-263 78 169 171 76
-264 77 79 170 172
-265 78 80 171 173
-266 79 81 172 174
-267 80 82 173 175
-268 176 81 83 174
-269 177 82 84 175
-270 176 178 83 85
-271 177 179 84 86
-272 178 180 85 87
-273 88 179 181 86
-274 89 180 182 87
-275 88 90 181 183
-276 89 91 182 184
-277 90 92 183 185
-278 91 93 184 186
-279 1 92 94 185
0