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On this page are computer-accessible forms for the graph C4[ 195, 3 ] =
C_195(1,79).
(I) Following is a form readable by MAGMA:
g:=Graph<195|{ {2, 3}, {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}, {160,
161}, {158, 159}, {156, 157}, {154, 155}, {152, 153}, {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}, {42, 43}, {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}, {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}, {1, 2}, {193, 194}, {189, 190},
{185, 186}, {181, 182}, {177, 178}, {173, 174}, {169, 170}, {165, 166}, {161,
162}, {157, 158}, {153, 154}, {69, 70}, {65, 66}, {61, 62}, {57, 58}, {53, 54},
{49, 50}, {45, 46}, {41, 42}, {5, 6}, {9, 10}, {13, 14}, {17, 18}, {21, 22},
{25, 26}, {29, 30}, {33, 34}, {37, 38}, {73, 74}, {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}, {3, 4}, {187, 188}, {179, 180}, {171, 172}, {163,
164}, {155, 156}, {67, 68}, {59, 60}, {51, 52}, {43, 44}, {11, 12}, {19, 20},
{27, 28}, {35, 36}, {75, 76}, {83, 84}, {91, 92}, {99, 100}, {107, 108}, {115,
116}, {123, 124}, {131, 132}, {139, 140}, {147, 148}, {7, 8}, {183, 184}, {167,
168}, {151, 152}, {55, 56}, {23, 24}, {39, 40}, {71, 72}, {87, 88}, {103, 104},
{119, 120}, {135, 136}, {15, 16}, {175, 176}, {47, 48}, {79, 80}, {111, 112},
{143, 144}, {31, 32}, {159, 160}, {95, 96}, {16, 95}, {48, 127}, {32, 111}, {1,
80}, {47, 126}, {45, 124}, {43, 122}, {41, 120}, {3, 82}, {5, 84}, {7, 86}, {9,
88}, {11, 90}, {13, 92}, {15, 94}, {33, 112}, {35, 114}, {37, 116}, {39, 118},
{2, 81}, {46, 125}, {42, 121}, {6, 85}, {10, 89}, {14, 93}, {34, 113}, {38,
117}, {4, 83}, {44, 123}, {12, 91}, {36, 115}, {8, 87}, {40, 119}, {17, 96},
{19, 98}, {21, 100}, {23, 102}, {25, 104}, {27, 106}, {29, 108}, {31, 110}, {18,
97}, {22, 101}, {26, 105}, {30, 109}, {1, 117}, {2, 118}, {3, 119}, {8, 124},
{9, 125}, {10, 126}, {11, 127}, {20, 99}, {28, 107}, {4, 120}, {5, 121}, {6,
122}, {7, 123}, {24, 103}, {191, 192}, {63, 64}, {12, 128}, {63, 179}, {62,
178}, {61, 177}, {60, 176}, {47, 163}, {46, 162}, {45, 161}, {44, 160}, {13,
129}, {14, 130}, {15, 131}, {28, 144}, {29, 145}, {30, 146}, {31, 147}, {76,
192}, {77, 193}, {78, 194}, {79, 195}, {16, 132}, {59, 175}, {58, 174}, {57,
173}, {56, 172}, {51, 167}, {50, 166}, {49, 165}, {48, 164}, {17, 133}, {18,
134}, {19, 135}, {24, 140}, {25, 141}, {26, 142}, {27, 143}, {20, 136}, {55,
171}, {54, 170}, {53, 169}, {52, 168}, {21, 137}, {22, 138}, {23, 139}, {49,
128}, {63, 142}, {61, 140}, {59, 138}, {57, 136}, {55, 134}, {53, 132}, {51,
130}, {113, 192}, {115, 194}, {50, 129}, {62, 141}, {58, 137}, {54, 133}, {114,
193}, {32, 148}, {43, 159}, {42, 158}, {41, 157}, {33, 149}, {34, 150}, {35,
151}, {40, 156}, {52, 131}, {60, 139}, {116, 195}, {36, 152}, {37, 153}, {38,
154}, {39, 155}, {56, 135}, {1, 195}, {64, 143}, {80, 159}, {96, 175}, {112,
191}, {65, 144}, {69, 148}, {67, 146}, {71, 150}, {73, 152}, {75, 154}, {77,
156}, {79, 158}, {97, 176}, {99, 178}, {101, 180}, {103, 182}, {105, 184}, {107,
186}, {109, 188}, {111, 190}, {66, 145}, {70, 149}, {74, 153}, {78, 157}, {98,
177}, {102, 181}, {106, 185}, {110, 189}, {68, 147}, {76, 155}, {100, 179},
{108, 187}, {72, 151}, {104, 183}, {81, 160}, {83, 162}, {85, 164}, {87, 166},
{89, 168}, {91, 170}, {93, 172}, {95, 174}, {82, 161}, {86, 165}, {90, 169},
{94, 173}, {64, 180}, {67, 183}, {66, 182}, {65, 181}, {72, 188}, {73, 189},
{74, 190}, {75, 191}, {84, 163}, {92, 171}, {68, 184}, {69, 185}, {70, 186},
{71, 187}, {88, 167}, {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, 117)(3, 38)(4, 154)(5, 75)(6, 191)(7, 112)(8, 33)(9, 149)(10, 70)(11,
186)(12, 107)(13, 28)(14, 144)(15, 65)(16, 181)(17, 102)(18, 23)(19, 139)(20,
60)(21, 176)(22, 97)(24, 134)(25, 55)(26, 171)(27, 92)(29, 129)(30, 50)(31,
166)(32, 87)(34, 124)(35, 45)(36, 161)(37, 82)(39, 119)(41, 156)(42, 77)(43,
193)(44, 114)(46, 151)(47, 72)(48, 188)(49, 109)(51, 146)(52, 67)(53, 183)(54,
104)(56, 141)(57, 62)(58, 178)(59, 99)(61, 136)(63, 173)(64, 94)(66, 131)(68,
168)(69, 89)(71, 126)(73, 163)(74, 84)(76, 121)(78, 158)(80, 195)(81, 116)(83,
153)(85, 190)(86, 111)(88, 148)(90, 185)(91, 106)(93, 143)(95, 180)(96, 101)(98,
138)(100, 175)(103, 133)(105, 170)(108, 128)(110, 165)(113, 123)(115, 160)(120,
155)(122, 192)(125, 150)(127, 187)(130, 145)(132, 182)(135, 140)(137, 177)(142,
172)(147, 167)(152, 162)(159, 194)(164, 189)(169, 184)(174, 179) (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)
c: (2, 80)(3, 159)(4, 43)(5, 122)(7, 85)(8, 164)(9, 48)(10, 127)(12, 90)(13,
169)(14, 53)(15, 132)(17, 95)(18, 174)(19, 58)(20, 137)(22, 100)(23, 179)(24,
63)(25, 142)(27, 105)(28, 184)(29, 68)(30, 147)(32, 110)(33, 189)(34, 73)(35,
152)(37, 115)(38, 194)(39, 78)(40, 157)(42, 120)(44, 83)(45, 162)(47, 125)(49,
88)(50, 167)(52, 130)(54, 93)(55, 172)(57, 135)(59, 98)(60, 177)(62, 140)(64,
103)(65, 182)(67, 145)(69, 108)(70, 187)(72, 150)(74, 113)(75, 192)(77, 155)(79,
118)(82, 160)(84, 123)(87, 165)(89, 128)(92, 170)(94, 133)(97, 175)(99,
138)(102, 180)(104, 143)(107, 185)(109, 148)(112, 190)(114, 153)(117, 195)(119,
158)(124, 163)(129, 168)(134, 173)(139, 178)(144, 183)(149, 188)(154, 193)
C4[ 195, 3 ]
195
-1 2 80 117 195
-2 1 3 81 118
-3 2 4 82 119
-4 3 5 83 120
-5 121 4 6 84
-6 122 5 7 85
-7 123 6 8 86
-8 124 7 9 87
-9 88 125 8 10
-10 11 89 126 9
-11 12 90 127 10
-12 11 13 91 128
-13 12 14 92 129
-14 13 15 93 130
-15 14 16 94 131
-16 132 15 17 95
-17 133 16 18 96
-18 134 17 19 97
-19 135 18 20 98
-20 99 136 19 21
-21 22 100 137 20
-22 23 101 138 21
-23 22 24 102 139
-24 23 25 103 140
-25 24 26 104 141
-26 25 27 105 142
-27 143 26 28 106
-28 144 27 29 107
-29 145 28 30 108
-30 146 29 31 109
-31 110 147 30 32
-32 33 111 148 31
-33 34 112 149 32
-34 33 35 113 150
-35 34 36 114 151
-36 35 37 115 152
-37 36 38 116 153
-38 154 37 39 117
-39 155 38 40 118
-40 156 39 41 119
-41 157 40 42 120
-42 121 158 41 43
-43 44 122 159 42
-44 45 123 160 43
-45 44 46 124 161
-46 45 47 125 162
-47 46 48 126 163
-48 47 49 127 164
-49 165 48 50 128
-50 166 49 51 129
-51 167 50 52 130
-52 168 51 53 131
-53 132 169 52 54
-54 55 133 170 53
-55 56 134 171 54
-56 55 57 135 172
-57 56 58 136 173
-58 57 59 137 174
-59 58 60 138 175
-60 176 59 61 139
-61 177 60 62 140
-62 178 61 63 141
-63 179 62 64 142
-64 143 180 63 65
-65 66 144 181 64
-66 67 145 182 65
-67 66 68 146 183
-68 67 69 147 184
-69 68 70 148 185
-70 69 71 149 186
-71 187 70 72 150
-72 188 71 73 151
-73 189 72 74 152
-74 190 73 75 153
-75 154 191 74 76
-76 77 155 192 75
-77 78 156 193 76
-78 77 79 157 194
-79 78 80 158 195
-80 1 79 81 159
-81 2 80 82 160
-82 3 81 83 161
-83 4 82 84 162
-84 5 83 85 163
-85 6 84 86 164
-86 165 7 85 87
-87 88 166 8 86
-88 89 167 9 87
-89 88 90 168 10
-90 11 89 91 169
-91 12 90 92 170
-92 13 91 93 171
-93 14 92 94 172
-94 15 93 95 173
-95 16 94 96 174
-96 17 95 97 175
-97 176 18 96 98
-98 99 177 19 97
-99 100 178 20 98
-100 99 101 179 21
-101 22 100 102 180
-102 23 101 103 181
-103 24 102 104 182
-104 25 103 105 183
-105 26 104 106 184
-106 27 105 107 185
-107 28 106 108 186
-108 187 29 107 109
-109 110 188 30 108
-110 111 189 31 109
-111 110 112 190 32
-112 33 111 113 191
-113 34 112 114 192
-114 35 113 115 193
-115 36 114 116 194
-116 37 115 117 195
-117 1 38 116 118
-118 2 39 117 119
-119 3 40 118 120
-120 121 4 41 119
-121 122 5 42 120
-122 121 123 6 43
-123 44 122 124 7
-124 45 123 125 8
-125 46 124 126 9
-126 47 125 127 10
-127 11 48 126 128
-128 12 49 127 129
-129 13 50 128 130
-130 14 51 129 131
-131 132 15 52 130
-132 133 16 53 131
-133 132 134 17 54
-134 55 133 135 18
-135 56 134 136 19
-136 57 135 137 20
-137 58 136 138 21
-138 22 59 137 139
-139 23 60 138 140
-140 24 61 139 141
-141 25 62 140 142
-142 143 26 63 141
-143 144 27 64 142
-144 143 145 28 65
-145 66 144 146 29
-146 67 145 147 30
-147 68 146 148 31
-148 69 147 149 32
-149 33 70 148 150
-150 34 71 149 151
-151 35 72 150 152
-152 36 73 151 153
-153 154 37 74 152
-154 155 38 75 153
-155 154 156 39 76
-156 77 155 157 40
-157 78 156 158 41
-158 79 157 159 42
-159 80 158 160 43
-160 44 81 159 161
-161 45 82 160 162
-162 46 83 161 163
-163 47 84 162 164
-164 165 48 85 163
-165 166 49 86 164
-166 165 167 50 87
-167 88 166 168 51
-168 89 167 169 52
-169 90 168 170 53
-170 91 169 171 54
-171 55 92 170 172
-172 56 93 171 173
-173 57 94 172 174
-174 58 95 173 175
-175 176 59 96 174
-176 177 60 97 175
-177 176 178 61 98
-178 99 177 179 62
-179 100 178 180 63
-180 101 179 181 64
-181 102 180 182 65
-182 66 103 181 183
-183 67 104 182 184
-184 68 105 183 185
-185 69 106 184 186
-186 187 70 107 185
-187 188 71 108 186
-188 187 189 72 109
-189 110 188 190 73
-190 111 189 191 74
-191 112 190 192 75
-192 113 191 193 76
-193 77 114 192 194
-194 78 115 193 195
-195 1 79 116 194
0