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On this page are computer-accessible forms for the graph C4[ 198, 2 ] =
C_198(1,89).
(I) Following is a form readable by MAGMA:
g:=Graph<198|{ {2, 3}, {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}, {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}, {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}, {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}, {1, 2}, {197,
198}, {193, 194}, {189, 190}, {185, 186}, {181, 182}, {177, 178}, {173, 174},
{169, 170}, {165, 166}, {73, 74}, {69, 70}, {65, 66}, {61, 62}, {57, 58}, {53,
54}, {49, 50}, {5, 6}, {9, 10}, {13, 14}, {17, 18}, {21, 22}, {25, 26}, {29,
30}, {33, 34}, {37, 38}, {41, 42}, {45, 46}, {77, 78}, {81, 82}, {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}, {153, 154}, {157, 158}, {161, 162}, {3, 4}, {195, 196},
{187, 188}, {179, 180}, {171, 172}, {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}, {155,
156}, {163, 164}, {7, 8}, {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}, {47, 48}, {79, 80}, {111, 112}, {143, 144}, {31, 32}, {95, 96},
{159, 160}, {2, 91}, {4, 93}, {6, 95}, {32, 121}, {34, 123}, {36, 125}, {38,
127}, {1, 90}, {5, 94}, {33, 122}, {37, 126}, {3, 92}, {35, 124}, {7, 96}, {15,
104}, {23, 112}, {31, 120}, {8, 97}, {10, 99}, {12, 101}, {14, 103}, {24, 113},
{26, 115}, {28, 117}, {30, 119}, {9, 98}, {13, 102}, {25, 114}, {29, 118}, {2,
111}, {16, 125}, {18, 127}, {1, 110}, {11, 100}, {17, 126}, {27, 116}, {3, 112},
{7, 116}, {11, 120}, {15, 124}, {4, 113}, {6, 115}, {12, 121}, {14, 123}, {5,
114}, {13, 122}, {16, 105}, {18, 107}, {20, 109}, {22, 111}, {17, 106}, {21,
110}, {8, 117}, {10, 119}, {9, 118}, {191, 192}, {63, 64}, {19, 108}, {19, 128},
{63, 172}, {59, 168}, {55, 164}, {51, 160}, {23, 132}, {27, 136}, {31, 140},
{83, 192}, {87, 196}, {20, 129}, {62, 171}, {60, 169}, {54, 163}, {52, 161},
{22, 131}, {28, 137}, {30, 139}, {84, 193}, {86, 195}, {21, 130}, {61, 170},
{53, 162}, {29, 138}, {85, 194}, {24, 133}, {58, 167}, {56, 165}, {26, 135},
{88, 197}, {25, 134}, {57, 166}, {89, 198}, {39, 128}, {63, 152}, {55, 144},
{47, 136}, {103, 192}, {40, 129}, {62, 151}, {60, 149}, {58, 147}, {56, 145},
{46, 135}, {42, 131}, {44, 133}, {104, 193}, {106, 195}, {108, 197}, {41, 130},
{61, 150}, {57, 146}, {45, 134}, {105, 194}, {109, 198}, {32, 141}, {50, 159},
{48, 157}, {34, 143}, {33, 142}, {59, 148}, {49, 158}, {43, 132}, {107, 196},
{35, 144}, {47, 156}, {39, 148}, {43, 152}, {36, 145}, {46, 155}, {38, 147},
{44, 153}, {37, 146}, {45, 154}, {48, 137}, {54, 143}, {52, 141}, {50, 139},
{49, 138}, {53, 142}, {40, 149}, {42, 151}, {41, 150}, {51, 140}, {1, 198}, {64,
153}, {70, 159}, {68, 157}, {66, 155}, {96, 185}, {98, 187}, {100, 189}, {102,
191}, {65, 154}, {69, 158}, {97, 186}, {101, 190}, {67, 156}, {99, 188}, {71,
160}, {79, 168}, {87, 176}, {95, 184}, {72, 161}, {74, 163}, {76, 165}, {78,
167}, {88, 177}, {90, 179}, {92, 181}, {94, 183}, {73, 162}, {77, 166}, {89,
178}, {93, 182}, {64, 173}, {66, 175}, {80, 189}, {82, 191}, {65, 174}, {75,
164}, {81, 190}, {91, 180}, {67, 176}, {75, 184}, {71, 180}, {79, 188}, {68,
177}, {70, 179}, {76, 185}, {78, 187}, {69, 178}, {77, 186}, {80, 169}, {82,
171}, {84, 173}, {86, 175}, {81, 170}, {85, 174}, {72, 181}, {74, 183}, {73,
182}, {83, 172}, {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, 110)(3, 21)(4, 130)(5, 41)(6, 150)(7, 61)(8, 170)(9, 81)(10, 190)(11,
101)(13, 121)(14, 32)(15, 141)(16, 52)(17, 161)(18, 72)(19, 181)(20, 92)(22,
112)(24, 132)(25, 43)(26, 152)(27, 63)(28, 172)(29, 83)(30, 192)(31, 103)(33,
123)(35, 143)(36, 54)(37, 163)(38, 74)(39, 183)(40, 94)(42, 114)(44, 134)(46,
154)(47, 65)(48, 174)(49, 85)(50, 194)(51, 105)(53, 125)(55, 145)(57, 165)(58,
76)(59, 185)(60, 96)(62, 116)(64, 136)(66, 156)(68, 176)(69, 87)(70, 196)(71,
107)(73, 127)(75, 147)(77, 167)(79, 187)(80, 98)(82, 118)(84, 138)(86, 158)(88,
178)(90, 198)(91, 109)(93, 129)(95, 149)(97, 169)(99, 189)(102, 120)(104,
140)(106, 160)(108, 180)(113, 131)(115, 151)(117, 171)(119, 191)(124, 142)(126,
162)(128, 182)(135, 153)(137, 173)(139, 193)(146, 164)(148, 184)(157, 175)(159,
195)(168, 186)(179, 197) (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, 90)(3, 179)(4, 70)(5, 159)(6, 50)(7, 139)(8, 30)(9, 119)(11, 99)(12,
188)(13, 79)(14, 168)(15, 59)(16, 148)(17, 39)(18, 128)(20, 108)(21, 197)(22,
88)(23, 177)(24, 68)(25, 157)(26, 48)(27, 137)(29, 117)(31, 97)(32, 186)(33,
77)(34, 166)(35, 57)(36, 146)(38, 126)(40, 106)(41, 195)(42, 86)(43, 175)(44,
66)(45, 155)(47, 135)(49, 115)(51, 95)(52, 184)(53, 75)(54, 164)(56, 144)(58,
124)(60, 104)(61, 193)(62, 84)(63, 173)(65, 153)(67, 133)(69, 113)(71, 93)(72,
182)(74, 162)(76, 142)(78, 122)(80, 102)(81, 191)(83, 171)(85, 151)(87, 131)(89,
111)(92, 180)(94, 160)(96, 140)(98, 120)(101, 189)(103, 169)(105, 149)(107,
129)(110, 198)(112, 178)(114, 158)(116, 138)(121, 187)(123, 167)(125, 147)(130,
196)(132, 176)(134, 156)(141, 185)(143, 165)(150, 194)(152, 174)(161, 183)(170,
192)
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)
C4[ 198, 2 ]
198
-1 110 198 2 90
-2 1 111 3 91
-3 2 112 4 92
-4 3 113 5 93
-5 4 114 6 94
-6 5 115 7 95
-7 6 116 8 96
-8 7 117 9 97
-9 8 118 10 98
-10 11 99 9 119
-11 12 100 10 120
-12 11 121 13 101
-13 12 122 14 102
-14 13 123 15 103
-15 14 124 16 104
-16 15 125 17 105
-17 16 126 18 106
-18 17 127 19 107
-19 18 128 20 108
-20 19 129 21 109
-21 22 110 20 130
-22 23 111 21 131
-23 22 132 24 112
-24 23 133 25 113
-25 24 134 26 114
-26 25 135 27 115
-27 26 136 28 116
-28 27 137 29 117
-29 28 138 30 118
-30 29 139 31 119
-31 30 140 32 120
-32 33 121 31 141
-33 34 122 32 142
-34 33 143 35 123
-35 34 144 36 124
-36 35 145 37 125
-37 36 146 38 126
-38 37 147 39 127
-39 38 148 40 128
-40 39 149 41 129
-41 40 150 42 130
-42 41 151 43 131
-43 44 132 42 152
-44 45 133 43 153
-45 44 154 46 134
-46 45 155 47 135
-47 46 156 48 136
-48 47 157 49 137
-49 48 158 50 138
-50 49 159 51 139
-51 50 160 52 140
-52 51 161 53 141
-53 52 162 54 142
-54 55 143 53 163
-55 56 144 54 164
-56 55 165 57 145
-57 56 166 58 146
-58 57 167 59 147
-59 58 168 60 148
-60 59 169 61 149
-61 60 170 62 150
-62 61 171 63 151
-63 62 172 64 152
-64 63 173 65 153
-65 66 154 64 174
-66 67 155 65 175
-67 66 176 68 156
-68 67 177 69 157
-69 68 178 70 158
-70 69 179 71 159
-71 70 180 72 160
-72 71 181 73 161
-73 72 182 74 162
-74 73 183 75 163
-75 74 184 76 164
-76 77 165 75 185
-77 78 166 76 186
-78 77 187 79 167
-79 78 188 80 168
-80 79 189 81 169
-81 80 190 82 170
-82 81 191 83 171
-83 82 192 84 172
-84 83 193 85 173
-85 84 194 86 174
-86 85 195 87 175
-87 88 176 86 196
-88 89 177 87 197
-89 88 198 90 178
-90 1 89 91 179
-91 2 90 92 180
-92 3 91 93 181
-93 4 92 94 182
-94 5 93 95 183
-95 6 94 96 184
-96 7 95 97 185
-97 8 96 98 186
-98 99 187 9 97
-99 100 188 10 98
-100 11 99 101 189
-101 12 100 102 190
-102 13 101 103 191
-103 14 102 104 192
-104 15 103 105 193
-105 16 104 106 194
-106 17 105 107 195
-107 18 106 108 196
-108 19 107 109 197
-109 110 198 20 108
-110 1 111 21 109
-111 22 110 2 112
-112 23 111 3 113
-113 24 112 4 114
-114 25 113 5 115
-115 26 114 6 116
-116 27 115 7 117
-117 28 116 8 118
-118 29 117 9 119
-119 30 118 10 120
-120 11 121 31 119
-121 12 122 32 120
-122 33 121 13 123
-123 34 122 14 124
-124 35 123 15 125
-125 36 124 16 126
-126 37 125 17 127
-127 38 126 18 128
-128 39 127 19 129
-129 40 128 20 130
-130 41 129 21 131
-131 22 132 42 130
-132 23 133 43 131
-133 44 132 24 134
-134 45 133 25 135
-135 46 134 26 136
-136 47 135 27 137
-137 48 136 28 138
-138 49 137 29 139
-139 50 138 30 140
-140 51 139 31 141
-141 52 140 32 142
-142 33 143 53 141
-143 34 144 54 142
-144 55 143 35 145
-145 56 144 36 146
-146 57 145 37 147
-147 58 146 38 148
-148 59 147 39 149
-149 60 148 40 150
-150 61 149 41 151
-151 62 150 42 152
-152 63 151 43 153
-153 44 154 64 152
-154 45 155 65 153
-155 66 154 46 156
-156 67 155 47 157
-157 68 156 48 158
-158 69 157 49 159
-159 70 158 50 160
-160 71 159 51 161
-161 72 160 52 162
-162 73 161 53 163
-163 74 162 54 164
-164 55 165 75 163
-165 56 166 76 164
-166 77 165 57 167
-167 78 166 58 168
-168 79 167 59 169
-169 80 168 60 170
-170 81 169 61 171
-171 82 170 62 172
-172 83 171 63 173
-173 84 172 64 174
-174 85 173 65 175
-175 66 176 86 174
-176 67 177 87 175
-177 88 176 68 178
-178 89 177 69 179
-179 90 178 70 180
-180 91 179 71 181
-181 92 180 72 182
-182 93 181 73 183
-183 94 182 74 184
-184 95 183 75 185
-185 96 184 76 186
-186 77 187 97 185
-187 78 188 98 186
-188 99 187 79 189
-189 100 188 80 190
-190 101 189 81 191
-191 102 190 82 192
-192 103 191 83 193
-193 104 192 84 194
-194 105 193 85 195
-195 106 194 86 196
-196 107 195 87 197
-197 88 198 108 196
-198 1 89 109 197
0