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