Graph forms
for C4 [ 289, 2 ] = {4,4}_17,0
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On this page are computer-accessible forms for the graph C4[ 289, 2 ] =
{4,4}_17,0.
(I) Following is a form readable by MAGMA:
g:=Graph<289|{ {2, 3}, {288, 289}, {286, 287}, {284, 285}, {282, 283}, {280,
281}, {278, 279}, {276, 277}, {274, 275}, {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},
{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}, {120, 121}, {118, 119}, {116, 117}, {114, 115}, {112, 113}, {110,
111}, {108, 109}, {106, 107}, {104, 105}, {100, 101}, {98, 99}, {96, 97}, {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}, {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}, {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}, {122, 123}, {124, 125}, {126, 127}, {128, 129},
{130, 131}, {132, 133}, {134, 135}, {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}, {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}, {206, 207}, {208, 209}, {1, 2}, {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}, {217, 218}, {213, 214}, {121, 122}, {117, 118}, {113, 114},
{109, 110}, {105, 106}, {101, 102}, {97, 98}, {93, 94}, {89, 90}, {81, 82}, {77,
78}, {73, 74}, {69, 70}, {5, 6}, {9, 10}, {13, 14}, {21, 22}, {25, 26}, {29,
30}, {33, 34}, {37, 38}, {41, 42}, {45, 46}, {49, 50}, {53, 54}, {57, 58}, {61,
62}, {65, 66}, {125, 126}, {129, 130}, {133, 134}, {137, 138}, {141, 142}, {145,
146}, {149, 150}, {157, 158}, {161, 162}, {165, 166}, {169, 170}, {173, 174},
{177, 178}, {181, 182}, {185, 186}, {189, 190}, {193, 194}, {197, 198}, {201,
202}, {205, 206}, {209, 210}, {3, 4}, {283, 284}, {275, 276}, {267, 268}, {259,
260}, {251, 252}, {243, 244}, {235, 236}, {227, 228}, {219, 220}, {211, 212},
{115, 116}, {107, 108}, {99, 100}, {91, 92}, {83, 84}, {75, 76}, {11, 12}, {19,
20}, {27, 28}, {35, 36}, {43, 44}, {59, 60}, {67, 68}, {123, 124}, {131, 132},
{139, 140}, {147, 148}, {155, 156}, {163, 164}, {171, 172}, {179, 180}, {195,
196}, {203, 204}, {7, 8}, {279, 280}, {263, 264}, {247, 248}, {231, 232}, {215,
216}, {103, 104}, {87, 88}, {71, 72}, {23, 24}, {39, 40}, {55, 56}, {135, 136},
{151, 152}, {167, 168}, {183, 184}, {199, 200}, {1, 17}, {256, 272}, {239, 255},
{103, 119}, {69, 85}, {35, 51}, {137, 153}, {171, 187}, {205, 221}, {2, 19},
{270, 287}, {268, 285}, {266, 283}, {264, 281}, {262, 279}, {260, 277}, {258,
275}, {256, 273}, {238, 255}, {236, 253}, {234, 251}, {232, 249}, {230, 247},
{228, 245}, {226, 243}, {224, 241}, {110, 127}, {108, 125}, {106, 123}, {104,
121}, {102, 119}, {100, 117}, {98, 115}, {96, 113}, {78, 95}, {76, 93}, {74,
91}, {72, 89}, {70, 87}, {4, 21}, {6, 23}, {8, 25}, {10, 27}, {12, 29}, {14,
31}, {32, 49}, {34, 51}, {36, 53}, {38, 55}, {40, 57}, {42, 59}, {44, 61}, {46,
63}, {64, 81}, {66, 83}, {68, 85}, {128, 145}, {130, 147}, {132, 149}, {134,
151}, {136, 153}, {138, 155}, {140, 157}, {142, 159}, {160, 177}, {162, 179},
{164, 181}, {166, 183}, {168, 185}, {170, 187}, {172, 189}, {174, 191}, {192,
209}, {194, 211}, {196, 213}, {198, 215}, {200, 217}, {202, 219}, {204, 221},
{206, 223}, {1, 18}, {269, 286}, {265, 282}, {261, 278}, {257, 274}, {237, 254},
{233, 250}, {229, 246}, {225, 242}, {109, 126}, {105, 122}, {101, 118}, {97,
114}, {77, 94}, {73, 90}, {69, 86}, {5, 22}, {9, 26}, {13, 30}, {33, 50}, {37,
54}, {41, 58}, {45, 62}, {65, 82}, {129, 146}, {133, 150}, {137, 154}, {141,
158}, {161, 178}, {165, 182}, {169, 186}, {173, 190}, {193, 210}, {197, 214},
{201, 218}, {205, 222}, {3, 20}, {267, 284}, {259, 276}, {235, 252}, {227, 244},
{107, 124}, {99, 116}, {75, 92}, {11, 28}, {35, 52}, {43, 60}, {67, 84}, {131,
148}, {139, 156}, {163, 180}, {171, 188}, {195, 212}, {203, 220}, {7, 24}, {271,
272}, {263, 280}, {239, 240}, {231, 248}, {111, 112}, {103, 120}, {79, 80}, {71,
88}, {15, 16}, {39, 56}, {47, 48}, {135, 152}, {143, 144}, {167, 184}, {175,
176}, {199, 216}, {207, 208}, {15, 32}, {271, 288}, {223, 240}, {95, 112}, {79,
96}, {31, 48}, {143, 160}, {159, 176}, {207, 224}, {18, 34}, {273, 289}, {222,
238}, {86, 102}, {154, 170}, {16, 33}, {272, 289}, {222, 239}, {220, 237}, {218,
235}, {216, 233}, {214, 231}, {212, 229}, {210, 227}, {94, 111}, {92, 109}, {90,
107}, {88, 105}, {86, 103}, {84, 101}, {82, 99}, {80, 97}, {18, 35}, {20, 37},
{22, 39}, {24, 41}, {26, 43}, {28, 45}, {30, 47}, {144, 161}, {146, 163}, {148,
165}, {150, 167}, {152, 169}, {154, 171}, {156, 173}, {158, 175}, {208, 225},
{17, 34}, {221, 238}, {217, 234}, {213, 230}, {93, 110}, {89, 106}, {85, 102},
{81, 98}, {21, 38}, {25, 42}, {29, 46}, {145, 162}, {149, 166}, {153, 170},
{157, 174}, {209, 226}, {19, 36}, {219, 236}, {211, 228}, {91, 108}, {83, 100},
{27, 44}, {147, 164}, {155, 172}, {23, 40}, {287, 288}, {223, 224}, {215, 232},
{95, 96}, {87, 104}, {31, 32}, {151, 168}, {159, 160}, {47, 64}, {63, 80}, {175,
192}, {191, 208}, {52, 68}, {188, 204}, {48, 65}, {50, 67}, {52, 69}, {54, 71},
{56, 73}, {58, 75}, {60, 77}, {62, 79}, {176, 193}, {178, 195}, {180, 197},
{182, 199}, {184, 201}, {186, 203}, {188, 205}, {190, 207}, {49, 66}, {53, 70},
{57, 74}, {61, 78}, {177, 194}, {181, 198}, {185, 202}, {189, 206}, {51, 68},
{59, 76}, {179, 196}, {187, 204}, {55, 72}, {63, 64}, {183, 200}, {191, 192},
{111, 128}, {127, 144}, {120, 136}, {112, 129}, {120, 137}, {118, 135}, {116,
133}, {114, 131}, {122, 139}, {124, 141}, {126, 143}, {113, 130}, {117, 134},
{121, 138}, {125, 142}, {115, 132}, {123, 140}, {119, 136}, {127, 128}, {1,
273}, {2, 274}, {3, 275}, {4, 276}, {5, 277}, {6, 278}, {7, 279}, {8, 280}, {9,
281}, {10, 282}, {11, 283}, {12, 284}, {13, 285}, {14, 286}, {15, 287}, {16,
288}, {17, 289}, {239, 256}, {255, 272}, {240, 257}, {254, 271}, {252, 269},
{250, 267}, {248, 265}, {246, 263}, {244, 261}, {242, 259}, {241, 258}, {253,
270}, {249, 266}, {245, 262}, {243, 260}, {251, 268}, {247, 264} }>;
(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, 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) (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: (2, 18)(3, 35)(4, 52)(5, 69)(6, 86)(7, 103)(8, 120)(9, 137)(10, 154)(11,
171)(12, 188)(13, 205)(14, 222)(15, 239)(16, 256)(17, 273)(20, 36)(21, 53)(22,
70)(23, 87)(24, 104)(25, 121)(26, 138)(27, 155)(28, 172)(29, 189)(30, 206)(31,
223)(32, 240)(33, 257)(34, 274)(38, 54)(39, 71)(40, 88)(41, 105)(42, 122)(43,
139)(44, 156)(45, 173)(46, 190)(47, 207)(48, 224)(49, 241)(50, 258)(51, 275)(56,
72)(57, 89)(58, 106)(59, 123)(60, 140)(61, 157)(62, 174)(63, 191)(64, 208)(65,
225)(66, 242)(67, 259)(68, 276)(74, 90)(75, 107)(76, 124)(77, 141)(78, 158)(79,
175)(80, 192)(81, 209)(82, 226)(83, 243)(84, 260)(85, 277)(92, 108)(93, 125)(94,
142)(95, 159)(96, 176)(97, 193)(98, 210)(99, 227)(100, 244)(101, 261)(102,
278)(110, 126)(111, 143)(112, 160)(113, 177)(114, 194)(115, 211)(116, 228)(117,
245)(118, 262)(119, 279)(128, 144)(129, 161)(130, 178)(131, 195)(132, 212)(133,
229)(134, 246)(135, 263)(136, 280)(146, 162)(147, 179)(148, 196)(149, 213)(150,
230)(151, 247)(152, 264)(153, 281)(164, 180)(165, 197)(166, 214)(167, 231)(168,
248)(169, 265)(170, 282)(182, 198)(183, 215)(184, 232)(185, 249)(186, 266)(187,
283)(200, 216)(201, 233)(202, 250)(203, 267)(204, 284)(218, 234)(219, 251)(220,
268)(221, 285)(236, 252)(237, 269)(238, 286)(254, 270)(255, 287)(272, 288)
c: (2, 17)(3, 16)(4, 15)(5, 14)(6, 13)(7, 12)(8, 11)(9, 10)(19, 34)(20, 33)(21,
32)(22, 31)(23, 30)(24, 29)(25, 28)(26, 27)(36, 51)(37, 50)(38, 49)(39, 48)(40,
47)(41, 46)(42, 45)(43, 44)(53, 68)(54, 67)(55, 66)(56, 65)(57, 64)(58, 63)(59,
62)(60, 61)(70, 85)(71, 84)(72, 83)(73, 82)(74, 81)(75, 80)(76, 79)(77, 78)(87,
102)(88, 101)(89, 100)(90, 99)(91, 98)(92, 97)(93, 96)(94, 95)(104, 119)(105,
118)(106, 117)(107, 116)(108, 115)(109, 114)(110, 113)(111, 112)(121, 136)(122,
135)(123, 134)(124, 133)(125, 132)(126, 131)(127, 130)(128, 129)(138, 153)(139,
152)(140, 151)(141, 150)(142, 149)(143, 148)(144, 147)(145, 146)(155, 170)(156,
169)(157, 168)(158, 167)(159, 166)(160, 165)(161, 164)(162, 163)(172, 187)(173,
186)(174, 185)(175, 184)(176, 183)(177, 182)(178, 181)(179, 180)(189, 204)(190,
203)(191, 202)(192, 201)(193, 200)(194, 199)(195, 198)(196, 197)(206, 221)(207,
220)(208, 219)(209, 218)(210, 217)(211, 216)(212, 215)(213, 214)(223, 238)(224,
237)(225, 236)(226, 235)(227, 234)(228, 233)(229, 232)(230, 231)(240, 255)(241,
254)(242, 253)(243, 252)(244, 251)(245, 250)(246, 249)(247, 248)(257, 272)(258,
271)(259, 270)(260, 269)(261, 268)(262, 267)(263, 266)(264, 265)(274, 289)(275,
288)(276, 287)(277, 286)(278, 285)(279, 284)(280, 283)(281, 282)
C4[ 289, 2 ]
289
-1 2 17 18 273
-2 1 3 19 274
-3 275 2 4 20
-4 276 3 5 21
-5 22 277 4 6
-6 23 278 5 7
-7 24 279 6 8
-8 25 280 7 9
-9 26 281 8 10
-10 11 27 282 9
-11 12 28 283 10
-12 11 13 29 284
-13 12 14 30 285
-14 286 13 15 31
-15 287 14 16 32
-16 33 288 15 17
-17 1 34 289 16
-18 1 34 35 19
-19 2 36 18 20
-20 3 37 19 21
-21 22 4 38 20
-22 23 5 39 21
-23 22 24 6 40
-24 23 25 7 41
-25 24 26 8 42
-26 25 27 9 43
-27 44 26 28 10
-28 11 45 27 29
-29 12 46 28 30
-30 13 47 29 31
-31 14 48 30 32
-32 33 15 49 31
-33 34 16 50 32
-34 33 17 18 51
-35 36 18 51 52
-36 35 37 19 53
-37 36 38 20 54
-38 55 37 39 21
-39 22 56 38 40
-40 23 57 39 41
-41 24 58 40 42
-42 25 59 41 43
-43 44 26 60 42
-44 45 27 61 43
-45 44 46 28 62
-46 45 47 29 63
-47 46 48 30 64
-48 47 49 31 65
-49 66 48 50 32
-50 33 67 49 51
-51 34 35 68 50
-52 35 68 69 53
-53 36 70 52 54
-54 55 37 71 53
-55 56 38 72 54
-56 55 57 39 73
-57 56 58 40 74
-58 57 59 41 75
-59 58 60 42 76
-60 77 59 61 43
-61 44 78 60 62
-62 45 79 61 63
-63 46 80 62 64
-64 47 81 63 65
-65 66 48 82 64
-66 67 49 83 65
-67 66 68 50 84
-68 67 51 52 85
-69 70 52 85 86
-70 69 71 53 87
-71 88 70 72 54
-72 55 89 71 73
-73 56 90 72 74
-74 57 91 73 75
-75 58 92 74 76
-76 77 59 93 75
-77 78 60 94 76
-78 77 79 61 95
-79 78 80 62 96
-80 79 81 63 97
-81 80 82 64 98
-82 99 81 83 65
-83 66 100 82 84
-84 67 101 83 85
-85 68 69 102 84
-86 69 102 103 87
-87 88 70 104 86
-88 89 71 105 87
-89 88 90 72 106
-90 89 91 73 107
-91 90 92 74 108
-92 91 93 75 109
-93 110 92 94 76
-94 77 111 93 95
-95 78 112 94 96
-96 79 113 95 97
-97 80 114 96 98
-98 99 81 115 97
-99 100 82 116 98
-100 99 101 83 117
-101 100 102 84 118
-102 101 85 86 119
-103 104 86 119 120
-104 121 103 105 87
-105 88 122 104 106
-106 89 123 105 107
-107 90 124 106 108
-108 91 125 107 109
-109 110 92 126 108
-110 111 93 127 109
-111 110 112 94 128
-112 111 113 95 129
-113 112 114 96 130
-114 113 115 97 131
-115 132 114 116 98
-116 99 133 115 117
-117 100 134 116 118
-118 101 135 117 119
-119 102 103 136 118
-120 121 103 136 137
-121 122 104 138 120
-122 121 123 105 139
-123 122 124 106 140
-124 123 125 107 141
-125 124 126 108 142
-126 143 125 127 109
-127 110 144 126 128
-128 111 145 127 129
-129 112 146 128 130
-130 113 147 129 131
-131 132 114 148 130
-132 133 115 149 131
-133 132 134 116 150
-134 133 135 117 151
-135 134 136 118 152
-136 135 119 120 153
-137 154 138 120 153
-138 121 155 137 139
-139 122 156 138 140
-140 123 157 139 141
-141 124 158 140 142
-142 143 125 159 141
-143 144 126 160 142
-144 143 145 127 161
-145 144 146 128 162
-146 145 147 129 163
-147 146 148 130 164
-148 165 147 149 131
-149 132 166 148 150
-150 133 167 149 151
-151 134 168 150 152
-152 135 169 151 153
-153 136 137 170 152
-154 155 137 170 171
-155 154 156 138 172
-156 155 157 139 173
-157 156 158 140 174
-158 157 159 141 175
-159 176 158 160 142
-160 143 177 159 161
-161 144 178 160 162
-162 145 179 161 163
-163 146 180 162 164
-164 165 147 181 163
-165 166 148 182 164
-166 165 167 149 183
-167 166 168 150 184
-168 167 169 151 185
-169 168 170 152 186
-170 154 187 169 153
-171 154 187 188 172
-172 155 189 171 173
-173 156 190 172 174
-174 157 191 173 175
-175 176 158 192 174
-176 177 159 193 175
-177 176 178 160 194
-178 177 179 161 195
-179 178 180 162 196
-180 179 181 163 197
-181 198 180 182 164
-182 165 199 181 183
-183 166 200 182 184
-184 167 201 183 185
-185 168 202 184 186
-186 187 169 203 185
-187 170 171 204 186
-188 189 171 204 205
-189 188 190 172 206
-190 189 191 173 207
-191 190 192 174 208
-192 209 191 193 175
-193 176 210 192 194
-194 177 211 193 195
-195 178 212 194 196
-196 179 213 195 197
-197 198 180 214 196
-198 199 181 215 197
-199 198 200 182 216
-200 199 201 183 217
-201 200 202 184 218
-202 201 203 185 219
-203 220 202 204 186
-204 187 188 221 203
-205 188 221 222 206
-206 189 223 205 207
-207 190 224 206 208
-208 209 191 225 207
-209 210 192 226 208
-210 209 211 193 227
-211 210 212 194 228
-212 211 213 195 229
-213 212 214 196 230
-214 231 213 215 197
-215 198 232 214 216
-216 199 233 215 217
-217 200 234 216 218
-218 201 235 217 219
-219 220 202 236 218
-220 221 203 237 219
-221 220 204 205 238
-222 223 205 238 239
-223 222 224 206 240
-224 223 225 207 241
-225 242 224 226 208
-226 209 243 225 227
-227 210 244 226 228
-228 211 245 227 229
-229 212 246 228 230
-230 231 213 247 229
-231 232 214 248 230
-232 231 233 215 249
-233 232 234 216 250
-234 233 235 217 251
-235 234 236 218 252
-236 253 235 237 219
-237 220 254 236 238
-238 221 222 255 237
-239 222 255 256 240
-240 223 257 239 241
-241 242 224 258 240
-242 243 225 259 241
-243 242 244 226 260
-244 243 245 227 261
-245 244 246 228 262
-246 245 247 229 263
-247 264 246 248 230
-248 231 265 247 249
-249 232 266 248 250
-250 233 267 249 251
-251 234 268 250 252
-252 253 235 269 251
-253 254 236 270 252
-254 253 255 237 271
-255 254 238 239 272
-256 257 239 272 273
-257 256 258 240 274
-258 275 257 259 241
-259 242 276 258 260
-260 243 277 259 261
-261 244 278 260 262
-262 245 279 261 263
-263 264 246 280 262
-264 265 247 281 263
-265 264 266 248 282
-266 265 267 249 283
-267 266 268 250 284
-268 267 269 251 285
-269 286 268 270 252
-270 253 287 269 271
-271 254 288 270 272
-272 255 256 289 271
-273 1 256 289 274
-274 275 2 257 273
-275 276 3 258 274
-276 275 277 4 259
-277 276 278 5 260
-278 277 279 6 261
-279 278 280 7 262
-280 279 281 8 263
-281 264 280 282 9
-282 265 281 283 10
-283 11 266 282 284
-284 12 267 283 285
-285 286 13 268 284
-286 287 14 269 285
-287 286 288 15 270
-288 287 289 16 271
-289 288 17 272 273
0