Graph forms
for C4 [ 300, 3 ] = C_300(1,101)
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On this page are computer-accessible forms for the graph C4[ 300, 3 ] =
C_300(1,101).
(I) Following is a form readable by MAGMA:
g:=Graph<300|{ {2, 3}, {298, 299}, {296, 297}, {294, 295}, {292, 293}, {290,
291}, {288, 289}, {286, 287}, {284, 285}, {282, 283}, {280, 281}, {278, 279},
{276, 277}, {274, 275}, {272, 273}, {270, 271}, {268, 269}, {266, 267}, {264,
265}, {262, 263}, {260, 261}, {258, 259}, {256, 257}, {254, 255}, {252, 253},
{250, 251}, {248, 249}, {246, 247}, {244, 245}, {242, 243}, {240, 241}, {238,
239}, {236, 237}, {234, 235}, {232, 233}, {230, 231}, {228, 229}, {226, 227},
{224, 225}, {222, 223}, {220, 221}, {218, 219}, {216, 217}, {214, 215}, {212,
213}, {210, 211}, {208, 209}, {206, 207}, {204, 205}, {202, 203}, {200, 201},
{198, 199}, {196, 197}, {194, 195}, {192, 193}, {190, 191}, {188, 189}, {94,
95}, {92, 93}, {90, 91}, {88, 89}, {86, 87}, {84, 85}, {82, 83}, {80, 81}, {78,
79}, {76, 77}, {74, 75}, {72, 73}, {70, 71}, {68, 69}, {66, 67}, {64, 65}, {62,
63}, {60, 61}, {58, 59}, {56, 57}, {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}, {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}, {1, 2}, {297, 298}, {293,
294}, {289, 290}, {285, 286}, {281, 282}, {277, 278}, {273, 274}, {269, 270},
{265, 266}, {261, 262}, {257, 258}, {253, 254}, {249, 250}, {245, 246}, {241,
242}, {237, 238}, {233, 234}, {229, 230}, {225, 226}, {221, 222}, {217, 218},
{213, 214}, {209, 210}, {205, 206}, {201, 202}, {197, 198}, {193, 194}, {189,
190}, {93, 94}, {89, 90}, {85, 86}, {81, 82}, {77, 78}, {73, 74}, {69, 70}, {65,
66}, {61, 62}, {57, 58}, {5, 6}, {9, 10}, {13, 14}, {17, 18}, {21, 22}, {25,
26}, {29, 30}, {33, 34}, {37, 38}, {41, 42}, {45, 46}, {49, 50}, {53, 54}, {97,
98}, {101, 102}, {105, 106}, {109, 110}, {113, 114}, {117, 118}, {121, 122},
{125, 126}, {129, 130}, {133, 134}, {137, 138}, {141, 142}, {145, 146}, {149,
150}, {153, 154}, {157, 158}, {161, 162}, {165, 166}, {169, 170}, {173, 174},
{177, 178}, {181, 182}, {185, 186}, {3, 4}, {299, 300}, {291, 292}, {283, 284},
{275, 276}, {267, 268}, {259, 260}, {251, 252}, {243, 244}, {235, 236}, {227,
228}, {219, 220}, {211, 212}, {203, 204}, {195, 196}, {187, 188}, {91, 92}, {83,
84}, {75, 76}, {67, 68}, {59, 60}, {11, 12}, {19, 20}, {27, 28}, {35, 36}, {43,
44}, {51, 52}, {99, 100}, {107, 108}, {115, 116}, {123, 124}, {131, 132}, {139,
140}, {147, 148}, {155, 156}, {163, 164}, {171, 172}, {179, 180}, {7, 8}, {295,
296}, {279, 280}, {263, 264}, {247, 248}, {231, 232}, {215, 216}, {199, 200},
{87, 88}, {71, 72}, {23, 24}, {39, 40}, {55, 56}, {103, 104}, {119, 120}, {135,
136}, {151, 152}, {167, 168}, {183, 184}, {15, 16}, {271, 272}, {239, 240},
{207, 208}, {79, 80}, {47, 48}, {111, 112}, {143, 144}, {175, 176}, {31, 32},
{287, 288}, {223, 224}, {95, 96}, {159, 160}, {2, 103}, {8, 109}, {10, 111},
{16, 117}, {18, 119}, {24, 125}, {26, 127}, {128, 229}, {130, 231}, {136, 237},
{138, 239}, {144, 245}, {146, 247}, {152, 253}, {154, 255}, {1, 102}, {9, 110},
{17, 118}, {25, 126}, {129, 230}, {137, 238}, {145, 246}, {153, 254}, {3, 104},
{7, 108}, {19, 120}, {23, 124}, {131, 232}, {135, 236}, {147, 248}, {151, 252},
{4, 105}, {6, 107}, {20, 121}, {22, 123}, {132, 233}, {134, 235}, {148, 249},
{150, 251}, {5, 106}, {21, 122}, {133, 234}, {149, 250}, {11, 112}, {15, 116},
{139, 240}, {143, 244}, {12, 113}, {14, 115}, {140, 241}, {142, 243}, {13, 114},
{191, 192}, {63, 64}, {141, 242}, {27, 128}, {95, 196}, {91, 192}, {63, 164},
{59, 160}, {31, 132}, {123, 224}, {127, 228}, {28, 129}, {94, 195}, {92, 193},
{62, 163}, {60, 161}, {30, 131}, {124, 225}, {126, 227}, {29, 130}, {93, 194},
{61, 162}, {125, 226}, {32, 133}, {58, 159}, {56, 157}, {34, 135}, {40, 141},
{42, 143}, {48, 149}, {50, 151}, {96, 197}, {98, 199}, {104, 205}, {106, 207},
{112, 213}, {114, 215}, {120, 221}, {122, 223}, {33, 134}, {57, 158}, {41, 142},
{49, 150}, {97, 198}, {105, 206}, {113, 214}, {121, 222}, {35, 136}, {39, 140},
{51, 152}, {55, 156}, {99, 200}, {103, 204}, {115, 216}, {119, 220}, {36, 137},
{38, 139}, {52, 153}, {54, 155}, {100, 201}, {102, 203}, {116, 217}, {118, 219},
{37, 138}, {53, 154}, {101, 202}, {117, 218}, {43, 144}, {47, 148}, {107, 208},
{111, 212}, {44, 145}, {46, 147}, {108, 209}, {110, 211}, {45, 146}, {109, 210},
{8, 207}, {56, 255}, {16, 215}, {24, 223}, {32, 231}, {40, 239}, {48, 247}, {1,
200}, {3, 202}, {5, 204}, {7, 206}, {17, 216}, {19, 218}, {21, 220}, {23, 222},
{33, 232}, {35, 234}, {37, 236}, {39, 238}, {49, 248}, {51, 250}, {53, 252},
{55, 254}, {2, 201}, {6, 205}, {18, 217}, {22, 221}, {34, 233}, {38, 237}, {50,
249}, {54, 253}, {4, 203}, {20, 219}, {36, 235}, {52, 251}, {9, 208}, {11, 210},
{13, 212}, {15, 214}, {41, 240}, {43, 242}, {45, 244}, {47, 246}, {10, 209},
{14, 213}, {42, 241}, {46, 245}, {12, 211}, {44, 243}, {64, 165}, {90, 191},
{88, 189}, {82, 183}, {80, 181}, {74, 175}, {72, 173}, {66, 167}, {65, 166},
{89, 190}, {81, 182}, {73, 174}, {67, 168}, {87, 188}, {83, 184}, {71, 172},
{68, 169}, {86, 187}, {84, 185}, {70, 171}, {69, 170}, {85, 186}, {25, 224},
{27, 226}, {29, 228}, {31, 230}, {26, 225}, {79, 180}, {75, 176}, {30, 229},
{76, 177}, {78, 179}, {28, 227}, {77, 178}, {127, 128}, {1, 300}, {57, 256},
{63, 262}, {61, 260}, {59, 258}, {58, 257}, {62, 261}, {60, 259}, {64, 263},
{88, 287}, {80, 279}, {72, 271}, {96, 295}, {65, 264}, {87, 286}, {85, 284},
{83, 282}, {81, 280}, {71, 270}, {69, 268}, {67, 266}, {97, 296}, {99, 298},
{101, 300}, {66, 265}, {86, 285}, {82, 281}, {70, 269}, {98, 297}, {68, 267},
{84, 283}, {100, 299}, {73, 272}, {79, 278}, {77, 276}, {75, 274}, {74, 273},
{78, 277}, {76, 275}, {89, 288}, {93, 292}, {91, 290}, {95, 294}, {90, 289},
{94, 293}, {92, 291}, {155, 256}, {191, 292}, {187, 288}, {159, 260}, {156,
257}, {190, 291}, {188, 289}, {158, 259}, {157, 258}, {189, 290}, {160, 261},
{186, 287}, {162, 263}, {168, 269}, {170, 271}, {176, 277}, {178, 279}, {184,
285}, {161, 262}, {169, 270}, {177, 278}, {185, 286}, {163, 264}, {167, 268},
{179, 280}, {183, 284}, {164, 265}, {166, 267}, {180, 281}, {182, 283}, {165,
266}, {181, 282}, {171, 272}, {175, 276}, {172, 273}, {174, 275}, {173, 274},
{192, 293}, {194, 295}, {193, 294}, {195, 296}, {199, 300}, {196, 297}, {198,
299}, {197, 298}, {255, 256} }>;
(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, 102)(3, 203)(5, 105)(6, 206)(8, 108)(9, 209)(11, 111)(12, 212)(14,
114)(15, 215)(17, 117)(18, 218)(20, 120)(21, 221)(23, 123)(24, 224)(26, 126)(27,
227)(29, 129)(30, 230)(32, 132)(33, 233)(35, 135)(36, 236)(38, 138)(39, 239)(41,
141)(42, 242)(44, 144)(45, 245)(47, 147)(48, 248)(50, 150)(51, 251)(53, 153)(54,
254)(56, 156)(57, 257)(59, 159)(60, 260)(62, 162)(63, 263)(65, 165)(66, 266)(68,
168)(69, 269)(71, 171)(72, 272)(74, 174)(75, 275)(77, 177)(78, 278)(80, 180)(81,
281)(83, 183)(84, 284)(86, 186)(87, 287)(89, 189)(90, 290)(92, 192)(93, 293)(95,
195)(96, 296)(98, 198)(99, 299)(101, 201)(104, 204)(107, 207)(110, 210)(113,
213)(116, 216)(119, 219)(122, 222)(125, 225)(128, 228)(131, 231)(134, 234)(137,
237)(140, 240)(143, 243)(146, 246)(149, 249)(152, 252)(155, 255)(158, 258)(161,
261)(164, 264)(167, 267)(170, 270)(173, 273)(176, 276)(179, 279)(182, 282)(185,
285)(188, 288)(191, 291)(194, 294)(197, 297)(200, 300) (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, 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, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292,
293, 294, 295, 296, 297, 298, 299, 300)
c: (2, 200)(3, 99)(4, 298)(5, 197)(6, 96)(7, 295)(8, 194)(9, 93)(10, 292)(11,
191)(12, 90)(13, 289)(14, 188)(15, 87)(16, 286)(17, 185)(18, 84)(19, 283)(20,
182)(21, 81)(22, 280)(23, 179)(24, 78)(25, 277)(26, 176)(27, 75)(28, 274)(29,
173)(30, 72)(31, 271)(32, 170)(33, 69)(34, 268)(35, 167)(36, 66)(37, 265)(38,
164)(39, 63)(40, 262)(41, 161)(42, 60)(43, 259)(44, 158)(45, 57)(46, 256)(47,
155)(48, 54)(49, 253)(50, 152)(52, 250)(53, 149)(55, 247)(56, 146)(58, 244)(59,
143)(61, 241)(62, 140)(64, 238)(65, 137)(67, 235)(68, 134)(70, 232)(71, 131)(73,
229)(74, 128)(76, 226)(77, 125)(79, 223)(80, 122)(82, 220)(83, 119)(85, 217)(86,
116)(88, 214)(89, 113)(91, 211)(92, 110)(94, 208)(95, 107)(97, 205)(98,
104)(100, 202)(102, 300)(103, 199)(105, 297)(106, 196)(108, 294)(109, 193)(111,
291)(112, 190)(114, 288)(115, 187)(117, 285)(118, 184)(120, 282)(121, 181)(123,
279)(124, 178)(126, 276)(127, 175)(129, 273)(130, 172)(132, 270)(133, 169)(135,
267)(136, 166)(138, 264)(139, 163)(141, 261)(142, 160)(144, 258)(145, 157)(147,
255)(148, 154)(150, 252)(153, 249)(156, 246)(159, 243)(162, 240)(165, 237)(168,
234)(171, 231)(174, 228)(177, 225)(180, 222)(183, 219)(186, 216)(189, 213)(192,
210)(195, 207)(198, 204)(203, 299)(206, 296)(209, 293)(212, 290)(215, 287)(218,
284)(221, 281)(224, 278)(227, 275)(230, 272)(233, 269)(236, 266)(239, 263)(242,
260)(245, 257)(248, 254)
C4[ 300, 3 ]
300
-1 2 200 102 300
-2 1 3 201 103
-3 2 4 202 104
-4 3 5 203 105
-5 4 6 204 106
-6 5 7 205 107
-7 6 8 206 108
-8 7 9 207 109
-9 110 8 10 208
-10 11 209 111 9
-11 12 210 112 10
-12 11 13 211 113
-13 12 14 212 114
-14 13 15 213 115
-15 14 16 214 116
-16 15 17 215 117
-17 16 18 216 118
-18 17 19 217 119
-19 18 20 218 120
-20 121 19 21 219
-21 22 220 122 20
-22 23 221 123 21
-23 22 24 222 124
-24 23 25 223 125
-25 24 26 224 126
-26 25 27 225 127
-27 26 28 226 128
-28 27 29 227 129
-29 28 30 228 130
-30 29 31 229 131
-31 132 30 32 230
-32 33 231 133 31
-33 34 232 134 32
-34 33 35 233 135
-35 34 36 234 136
-36 35 37 235 137
-37 36 38 236 138
-38 37 39 237 139
-39 38 40 238 140
-40 39 41 239 141
-41 40 42 240 142
-42 143 41 43 241
-43 44 242 144 42
-44 45 243 145 43
-45 44 46 244 146
-46 45 47 245 147
-47 46 48 246 148
-48 47 49 247 149
-49 48 50 248 150
-50 49 51 249 151
-51 50 52 250 152
-52 51 53 251 153
-53 154 52 54 252
-54 55 253 155 53
-55 56 254 156 54
-56 55 57 255 157
-57 56 58 256 158
-58 57 59 257 159
-59 58 60 258 160
-60 59 61 259 161
-61 60 62 260 162
-62 61 63 261 163
-63 62 64 262 164
-64 165 63 65 263
-65 66 264 166 64
-66 67 265 167 65
-67 66 68 266 168
-68 67 69 267 169
-69 68 70 268 170
-70 69 71 269 171
-71 70 72 270 172
-72 71 73 271 173
-73 72 74 272 174
-74 73 75 273 175
-75 176 74 76 274
-76 77 275 177 75
-77 78 276 178 76
-78 77 79 277 179
-79 78 80 278 180
-80 79 81 279 181
-81 80 82 280 182
-82 81 83 281 183
-83 82 84 282 184
-84 83 85 283 185
-85 84 86 284 186
-86 187 85 87 285
-87 88 286 188 86
-88 89 287 189 87
-89 88 90 288 190
-90 89 91 289 191
-91 90 92 290 192
-92 91 93 291 193
-93 92 94 292 194
-94 93 95 293 195
-95 94 96 294 196
-96 95 97 295 197
-97 198 96 98 296
-98 99 297 199 97
-99 100 298 200 98
-100 99 101 299 201
-101 100 102 300 202
-102 1 101 103 203
-103 2 102 104 204
-104 3 103 105 205
-105 4 104 106 206
-106 5 105 107 207
-107 6 106 108 208
-108 209 7 107 109
-109 110 210 8 108
-110 111 211 9 109
-111 110 112 212 10
-112 11 111 113 213
-113 12 112 114 214
-114 13 113 115 215
-115 14 114 116 216
-116 15 115 117 217
-117 16 116 118 218
-118 17 117 119 219
-119 220 18 118 120
-120 121 221 19 119
-121 122 222 20 120
-122 121 123 223 21
-123 22 122 124 224
-124 23 123 125 225
-125 24 124 126 226
-126 25 125 127 227
-127 26 126 128 228
-128 27 127 129 229
-129 28 128 130 230
-130 231 29 129 131
-131 132 232 30 130
-132 133 233 31 131
-133 132 134 234 32
-134 33 133 135 235
-135 34 134 136 236
-136 35 135 137 237
-137 36 136 138 238
-138 37 137 139 239
-139 38 138 140 240
-140 39 139 141 241
-141 242 40 140 142
-142 143 243 41 141
-143 144 244 42 142
-144 143 145 245 43
-145 44 144 146 246
-146 45 145 147 247
-147 46 146 148 248
-148 47 147 149 249
-149 48 148 150 250
-150 49 149 151 251
-151 50 150 152 252
-152 253 51 151 153
-153 154 254 52 152
-154 155 255 53 153
-155 154 156 256 54
-156 55 155 157 257
-157 56 156 158 258
-158 57 157 159 259
-159 58 158 160 260
-160 59 159 161 261
-161 60 160 162 262
-162 61 161 163 263
-163 264 62 162 164
-164 165 265 63 163
-165 166 266 64 164
-166 165 167 267 65
-167 66 166 168 268
-168 67 167 169 269
-169 68 168 170 270
-170 69 169 171 271
-171 70 170 172 272
-172 71 171 173 273
-173 72 172 174 274
-174 275 73 173 175
-175 176 276 74 174
-176 177 277 75 175
-177 176 178 278 76
-178 77 177 179 279
-179 78 178 180 280
-180 79 179 181 281
-181 80 180 182 282
-182 81 181 183 283
-183 82 182 184 284
-184 83 183 185 285
-185 286 84 184 186
-186 187 287 85 185
-187 188 288 86 186
-188 187 189 289 87
-189 88 188 190 290
-190 89 189 191 291
-191 90 190 192 292
-192 91 191 193 293
-193 92 192 194 294
-194 93 193 195 295
-195 94 194 196 296
-196 297 95 195 197
-197 198 298 96 196
-198 199 299 97 197
-199 198 200 300 98
-200 99 1 199 201
-201 100 2 200 202
-202 101 3 201 203
-203 102 4 202 204
-204 103 5 203 205
-205 104 6 204 206
-206 105 7 205 207
-207 106 8 206 208
-208 209 107 9 207
-209 210 108 10 208
-210 11 209 211 109
-211 110 12 210 212
-212 111 13 211 213
-213 112 14 212 214
-214 113 15 213 215
-215 114 16 214 216
-216 115 17 215 217
-217 116 18 216 218
-218 117 19 217 219
-219 220 118 20 218
-220 221 119 21 219
-221 22 220 222 120
-222 121 23 221 223
-223 122 24 222 224
-224 123 25 223 225
-225 124 26 224 226
-226 125 27 225 227
-227 126 28 226 228
-228 127 29 227 229
-229 128 30 228 230
-230 231 129 31 229
-231 232 130 32 230
-232 33 231 233 131
-233 132 34 232 234
-234 133 35 233 235
-235 134 36 234 236
-236 135 37 235 237
-237 136 38 236 238
-238 137 39 237 239
-239 138 40 238 240
-240 139 41 239 241
-241 242 140 42 240
-242 243 141 43 241
-243 44 242 244 142
-244 143 45 243 245
-245 144 46 244 246
-246 145 47 245 247
-247 146 48 246 248
-248 147 49 247 249
-249 148 50 248 250
-250 149 51 249 251
-251 150 52 250 252
-252 253 151 53 251
-253 254 152 54 252
-254 55 253 255 153
-255 154 56 254 256
-256 155 57 255 257
-257 156 58 256 258
-258 157 59 257 259
-259 158 60 258 260
-260 159 61 259 261
-261 160 62 260 262
-262 161 63 261 263
-263 264 162 64 262
-264 265 163 65 263
-265 66 264 266 164
-266 165 67 265 267
-267 166 68 266 268
-268 167 69 267 269
-269 168 70 268 270
-270 169 71 269 271
-271 170 72 270 272
-272 171 73 271 273
-273 172 74 272 274
-274 275 173 75 273
-275 276 174 76 274
-276 77 275 277 175
-277 176 78 276 278
-278 177 79 277 279
-279 178 80 278 280
-280 179 81 279 281
-281 180 82 280 282
-282 181 83 281 283
-283 182 84 282 284
-284 183 85 283 285
-285 286 184 86 284
-286 287 185 87 285
-287 88 286 288 186
-288 187 89 287 289
-289 188 90 288 290
-290 189 91 289 291
-291 190 92 290 292
-292 191 93 291 293
-293 192 94 292 294
-294 193 95 293 295
-295 194 96 294 296
-296 297 195 97 295
-297 298 196 98 296
-298 99 297 299 197
-299 198 100 298 300
-300 1 199 101 299
0