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On this page are computer-accessible forms for the graph C4[ 200, 6 ] =
{4,4}_<15,5>.
(I) Following is a form readable by MAGMA:
g:=Graph<200|{ {2, 3}, {198, 199}, {196, 197}, {194, 195}, {192, 193}, {190,
191}, {188, 189}, {186, 187}, {184, 185}, {182, 183}, {180, 181}, {178, 179},
{176, 177}, {174, 175}, {172, 173}, {170, 171}, {168, 169}, {166, 167}, {164,
165}, {162, 163}, {158, 159}, {156, 157}, {154, 155}, {152, 153}, {82, 83}, {78,
79}, {76, 77}, {74, 75}, {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}, {42, 43}, {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}, {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}, {1, 2}, {197, 198}, {193, 194}, {189, 190}, {185,
186}, {181, 182}, {177, 178}, {173, 174}, {169, 170}, {165, 166}, {161, 162},
{157, 158}, {153, 154}, {81, 82}, {77, 78}, {73, 74}, {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}, {85, 86}, {89,
90}, {93, 94}, {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}, {3, 4}, {195, 196}, {187, 188}, {179, 180}, {171, 172},
{163, 164}, {155, 156}, {75, 76}, {67, 68}, {59, 60}, {51, 52}, {11, 12}, {19,
20}, {27, 28}, {35, 36}, {43, 44}, {83, 84}, {91, 92}, {99, 100}, {107, 108},
{115, 116}, {123, 124}, {131, 132}, {139, 140}, {147, 148}, {7, 8}, {199, 200},
{183, 184}, {167, 168}, {71, 72}, {55, 56}, {23, 24}, {39, 40}, {87, 88}, {103,
104}, {119, 120}, {135, 136}, {151, 152}, {15, 16}, {175, 176}, {79, 80}, {47,
48}, {111, 112}, {143, 144}, {1, 41}, {151, 191}, {81, 121}, {80, 120}, {71,
111}, {70, 110}, {69, 109}, {68, 108}, {67, 107}, {66, 106}, {65, 105}, {64,
104}, {2, 42}, {3, 43}, {4, 44}, {5, 45}, {6, 46}, {7, 47}, {16, 56}, {17, 57},
{18, 58}, {19, 59}, {20, 60}, {21, 61}, {22, 62}, {23, 63}, {82, 122}, {83,
123}, {84, 124}, {85, 125}, {86, 126}, {87, 127}, {128, 168}, {129, 169}, {130,
170}, {131, 171}, {132, 172}, {133, 173}, {134, 174}, {135, 175}, {144, 184},
{145, 185}, {146, 186}, {147, 187}, {148, 188}, {149, 189}, {150, 190}, {1, 40},
{81, 120}, {8, 48}, {79, 119}, {78, 118}, {77, 117}, {76, 116}, {75, 115}, {74,
114}, {73, 113}, {72, 112}, {9, 49}, {10, 50}, {11, 51}, {12, 52}, {13, 53},
{14, 54}, {15, 55}, {136, 176}, {137, 177}, {138, 178}, {139, 179}, {140, 180},
{141, 181}, {142, 182}, {143, 183}, {31, 32}, {159, 160}, {95, 96}, {24, 64},
{159, 199}, {158, 198}, {157, 197}, {156, 196}, {155, 195}, {154, 194}, {153,
193}, {152, 192}, {63, 103}, {62, 102}, {61, 101}, {60, 100}, {59, 99}, {58,
98}, {57, 97}, {56, 96}, {25, 65}, {26, 66}, {27, 67}, {28, 68}, {29, 69}, {30,
70}, {31, 71}, {32, 72}, {160, 200}, {55, 95}, {54, 94}, {53, 93}, {52, 92},
{51, 91}, {50, 90}, {49, 89}, {48, 88}, {33, 73}, {34, 74}, {35, 75}, {36, 76},
{37, 77}, {38, 78}, {39, 79}, {161, 200}, {40, 80}, {47, 87}, {46, 86}, {45,
85}, {44, 84}, {43, 83}, {41, 81}, {42, 82}, {41, 80}, {63, 64}, {191, 192},
{32, 177}, {34, 179}, {36, 181}, {38, 183}, {40, 185}, {33, 178}, {37, 182},
{35, 180}, {39, 184}, {31, 176}, {16, 161}, {18, 163}, {20, 165}, {22, 167},
{24, 169}, {26, 171}, {28, 173}, {30, 175}, {17, 162}, {21, 166}, {25, 170},
{29, 174}, {19, 164}, {27, 172}, {2, 187}, {4, 189}, {6, 191}, {1, 186}, {5,
190}, {3, 188}, {23, 168}, {7, 192}, {15, 200}, {8, 193}, {10, 195}, {12, 197},
{14, 199}, {9, 194}, {13, 198}, {11, 196}, {88, 128}, {89, 129}, {90, 130}, {91,
131}, {92, 132}, {93, 133}, {94, 134}, {95, 135}, {120, 160}, {121, 161}, {122,
162}, {123, 163}, {124, 164}, {125, 165}, {126, 166}, {127, 167}, {121, 160},
{96, 136}, {97, 137}, {98, 138}, {99, 139}, {100, 140}, {101, 141}, {102, 142},
{103, 143}, {112, 152}, {113, 153}, {114, 154}, {115, 155}, {116, 156}, {117,
157}, {118, 158}, {119, 159}, {104, 144}, {105, 145}, {106, 146}, {107, 147},
{108, 148}, {109, 149}, {110, 150}, {111, 151}, {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, 186)(3, 146)(4, 106)(5, 66)(6, 26)(7, 171)(8, 131)(9, 91)(10, 51)(12,
196)(13, 156)(14, 116)(15, 76)(16, 36)(17, 181)(18, 141)(19, 101)(20, 61)(22,
166)(23, 126)(24, 86)(25, 46)(27, 191)(28, 151)(29, 111)(30, 71)(32, 176)(33,
136)(34, 96)(35, 56)(37, 161)(38, 121)(39, 81)(40, 41)(42, 185)(43, 145)(44,
105)(45, 65)(47, 170)(48, 130)(49, 90)(52, 195)(53, 155)(54, 115)(55, 75)(57,
180)(58, 140)(59, 100)(62, 165)(63, 125)(64, 85)(67, 190)(68, 150)(69, 110)(72,
175)(73, 135)(74, 95)(77, 200)(78, 160)(79, 120)(82, 184)(83, 144)(84, 104)(87,
169)(88, 129)(92, 194)(93, 154)(94, 114)(97, 179)(98, 139)(102, 164)(103,
124)(107, 189)(108, 149)(112, 174)(113, 134)(117, 199)(118, 159)(122, 183)(123,
143)(127, 168)(132, 193)(133, 153)(137, 178)(142, 163)(147, 188)(152, 173)(157,
198)(162, 182)(172, 192) (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, 41)(3, 81)(4, 121)(5, 161)(6, 16)(7, 56)(8, 96)(9, 136)(10, 176)(11,
31)(12, 71)(13, 111)(14, 151)(15, 191)(17, 46)(18, 86)(19, 126)(20, 166)(22,
61)(23, 101)(24, 141)(25, 181)(26, 36)(27, 76)(28, 116)(29, 156)(30, 196)(32,
51)(33, 91)(34, 131)(35, 171)(37, 66)(38, 106)(39, 146)(40, 186)(43, 82)(44,
122)(45, 162)(47, 57)(48, 97)(49, 137)(50, 177)(52, 72)(53, 112)(54, 152)(55,
192)(58, 87)(59, 127)(60, 167)(63, 102)(64, 142)(65, 182)(67, 77)(68, 117)(69,
157)(70, 197)(73, 92)(74, 132)(75, 172)(78, 107)(79, 147)(80, 187)(84, 123)(85,
163)(88, 98)(89, 138)(90, 178)(93, 113)(94, 153)(95, 193)(99, 128)(100,
168)(104, 143)(105, 183)(108, 118)(109, 158)(110, 198)(114, 133)(115, 173)(119,
148)(120, 188)(125, 164)(129, 139)(130, 179)(134, 154)(135, 194)(140, 169)(145,
184)(149, 159)(150, 199)(155, 174)(160, 189)(170, 180)(175, 195)(190, 200)
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)
C4[ 200, 6 ]
200
-1 2 40 41 186
-2 187 1 3 42
-3 188 2 4 43
-4 44 189 3 5
-5 45 190 4 6
-6 46 191 5 7
-7 47 192 6 8
-8 48 193 7 9
-9 49 194 8 10
-10 11 50 195 9
-11 12 51 196 10
-12 11 13 52 197
-13 198 12 14 53
-14 199 13 15 54
-15 55 200 14 16
-16 56 15 17 161
-17 57 16 18 162
-18 58 17 19 163
-19 59 18 20 164
-20 165 60 19 21
-21 22 166 61 20
-22 23 167 62 21
-23 22 24 168 63
-24 23 25 169 64
-25 24 26 170 65
-26 66 25 27 171
-27 67 26 28 172
-28 68 27 29 173
-29 69 28 30 174
-30 70 29 31 175
-31 176 71 30 32
-32 33 177 72 31
-33 34 178 73 32
-34 33 35 179 74
-35 34 36 180 75
-36 35 37 181 76
-37 77 36 38 182
-38 78 37 39 183
-39 79 38 40 184
-40 1 80 39 185
-41 1 80 81 42
-42 2 82 41 43
-43 44 3 83 42
-44 45 4 84 43
-45 44 46 5 85
-46 45 47 6 86
-47 46 48 7 87
-48 88 47 49 8
-49 89 48 50 9
-50 90 49 51 10
-51 11 91 50 52
-52 12 92 51 53
-53 13 93 52 54
-54 55 14 94 53
-55 56 15 95 54
-56 55 57 16 96
-57 56 58 17 97
-58 57 59 18 98
-59 99 58 60 19
-60 100 59 61 20
-61 101 60 62 21
-62 22 102 61 63
-63 23 103 62 64
-64 24 104 63 65
-65 66 25 105 64
-66 67 26 106 65
-67 66 68 27 107
-68 67 69 28 108
-69 68 70 29 109
-70 110 69 71 30
-71 111 70 72 31
-72 112 71 73 32
-73 33 113 72 74
-74 34 114 73 75
-75 35 115 74 76
-76 77 36 116 75
-77 78 37 117 76
-78 77 79 38 118
-79 78 80 39 119
-80 79 40 41 120
-81 121 82 41 120
-82 122 81 83 42
-83 123 82 84 43
-84 44 124 83 85
-85 45 125 84 86
-86 46 126 85 87
-87 88 47 127 86
-88 89 48 128 87
-89 88 90 49 129
-90 89 91 50 130
-91 90 92 51 131
-92 132 91 93 52
-93 133 92 94 53
-94 134 93 95 54
-95 55 135 94 96
-96 56 136 95 97
-97 57 137 96 98
-98 99 58 138 97
-99 100 59 139 98
-100 99 101 60 140
-101 100 102 61 141
-102 101 103 62 142
-103 143 102 104 63
-104 144 103 105 64
-105 145 104 106 65
-106 66 146 105 107
-107 67 147 106 108
-108 68 148 107 109
-109 110 69 149 108
-110 111 70 150 109
-111 110 112 71 151
-112 111 113 72 152
-113 112 114 73 153
-114 154 113 115 74
-115 155 114 116 75
-116 156 115 117 76
-117 77 157 116 118
-118 78 158 117 119
-119 79 159 118 120
-120 80 81 160 119
-121 122 81 160 161
-122 121 123 82 162
-123 122 124 83 163
-124 123 125 84 164
-125 165 124 126 85
-126 166 125 127 86
-127 167 126 128 87
-128 88 168 127 129
-129 89 169 128 130
-130 90 170 129 131
-131 132 91 171 130
-132 133 92 172 131
-133 132 134 93 173
-134 133 135 94 174
-135 134 136 95 175
-136 176 135 137 96
-137 177 136 138 97
-138 178 137 139 98
-139 99 179 138 140
-140 100 180 139 141
-141 101 181 140 142
-142 143 102 182 141
-143 144 103 183 142
-144 143 145 104 184
-145 144 146 105 185
-146 145 147 106 186
-147 187 146 148 107
-148 188 147 149 108
-149 189 148 150 109
-150 110 190 149 151
-151 111 191 150 152
-152 112 192 151 153
-153 154 113 193 152
-154 155 114 194 153
-155 154 156 115 195
-156 155 157 116 196
-157 156 158 117 197
-158 198 157 159 118
-159 199 158 160 119
-160 121 200 159 120
-161 121 200 16 162
-162 122 17 161 163
-163 123 18 162 164
-164 165 124 19 163
-165 166 125 20 164
-166 165 167 126 21
-167 22 166 168 127
-168 23 167 169 128
-169 24 168 170 129
-170 25 169 171 130
-171 26 170 172 131
-172 132 27 171 173
-173 133 28 172 174
-174 134 29 173 175
-175 176 135 30 174
-176 177 136 31 175
-177 176 178 137 32
-178 33 177 179 138
-179 34 178 180 139
-180 35 179 181 140
-181 36 180 182 141
-182 37 181 183 142
-183 143 38 182 184
-184 144 39 183 185
-185 145 40 184 186
-186 187 1 146 185
-187 188 2 147 186
-188 187 189 3 148
-189 188 190 4 149
-190 189 191 5 150
-191 190 192 6 151
-192 191 193 7 152
-193 192 194 8 153
-194 154 193 195 9
-195 155 194 196 10
-196 11 156 195 197
-197 198 12 157 196
-198 199 13 158 197
-199 198 200 14 159
-200 199 15 160 161
0