C4graphGraph forms for C4 [ 196, 4 ] = R_98(51,50)

[Home] [Table] [Glossary] [Families]

On this page are computer-accessible forms for the graph C4[ 196, 4 ] = R_98(51,50).

(I) Following is a form readable by MAGMA:

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

(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: (39, 136)(40, 186)(88, 185)(89, 137)
b: (31, 128)(32, 178)(80, 177)(81, 129)
c: (14, 111)(15, 64)(16, 162)(63, 160)(65, 113)(112, 161)
d: (27, 124)(28, 174)(76, 173)(77, 125)
e: (25, 122)(26, 172)(74, 171)(75, 123)
f: (15, 112)(16, 162)(64, 161)(65, 113)
g: (33, 130)(34, 180)(82, 179)(83, 131)
h: (16, 113)(17, 66)(18, 164)(65, 162)(67, 115)(114, 163)
m: (23, 120)(24, 170)(72, 169)(73, 121)
n1: (48, 145)(49, 195)(97, 194)(98, 146)
a1: (11, 108)(12, 158)(60, 157)(61, 109)
b1: (37, 134)(38, 184)(86, 183)(87, 135)
c1: (9, 106)(10, 156)(58, 155)(59, 107)
d1: (28, 125)(29, 78)(30, 176)(77, 174)(79, 127)(126, 175)
e1: (30, 127)(31, 80)(32, 178)(79, 176)(81, 129)(128, 177)
f1: (41, 138)(42, 188)(90, 187)(91, 139)
g1: (17, 114)(18, 164)(66, 163)(67, 115)
h1: (46, 143)(47, 96)(48, 194)(95, 192)(97, 145)(144, 193)
m1: (34, 131)(35, 84)(36, 182)(83, 180)(85, 133)(132, 181)
n2: (29, 126)(30, 176)(78, 175)(79, 127)
a2: (36, 133)(37, 86)(38, 184)(85, 182)(87, 135)(134, 183)
b2: (13, 110)(14, 160)(62, 159)(63, 111)
c2: (21, 118)(22, 168)(70, 167)(71, 119)
d2: (40, 137)(41, 90)(42, 188)(89, 186)(91, 139)(138, 187)
e2: (45, 142)(46, 192)(94, 191)(95, 143)
f2: (7, 104)(8, 154)(56, 153)(57, 105)
g2: (47, 144)(48, 194)(96, 193)(97, 145)
h2: (22, 119)(23, 72)(24, 170)(71, 168)(73, 121)(120, 169)
m2: (5, 102)(6, 152)(54, 151)(55, 103)
n3: (24, 121)(25, 74)(26, 172)(73, 170)(75, 123)(122, 171)
a3: (32, 129)(33, 82)(34, 180)(81, 178)(83, 131)(130, 179)
b3: (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)
c3: (38, 135)(39, 88)(40, 186)(87, 184)(89, 137)(136, 185)
d3: (2, 146, 99, 98)(3, 48, 149, 145)(4, 47)(5, 46)(6, 45)(7, 44)(8, 43)(9, 42)(10, 41)(11, 40)(12, 39)(13, 38)(14, 37)(15, 36)(16, 35)(17, 34)(18, 33)(19, 32)(20, 31)(21, 30)(22, 29)(23, 28)(24, 27)(25, 26)(49, 51, 195, 148)(52, 97, 100, 194)(53, 96)(54, 95)(55, 94)(56, 93)(57, 92)(58, 91)(59, 90)(60, 89)(61, 88)(62, 87)(63, 86)(64, 85)(65, 84)(66, 83)(67, 82)(68, 81)(69, 80)(70, 79)(71, 78)(72, 77)(73, 76)(74, 75)(101, 193)(102, 192)(103, 191)(104, 190)(105, 189)(106, 188)(107, 187)(108, 186)(109, 185)(110, 184)(111, 183)(112, 182)(113, 181)(114, 180)(115, 179)(116, 178)(117, 177)(118, 176)(119, 175)(120, 174)(121, 173)(122, 172)(123, 171)(124, 170)(125, 169)(126, 168)(127, 167)(128, 166)(129, 165)(130, 164)(131, 163)(132, 162)(133, 161)(134, 160)(135, 159)(136, 158)(137, 157)(138, 156)(139, 155)(140, 154)(141, 153)(142, 152)(143, 151)(144, 150)(147, 196)
e3: (44, 141)(45, 94)(46, 192)(93, 190)(95, 143)(142, 191)
f3: (18, 115)(19, 68)(20, 166)(67, 164)(69, 117)(116, 165)
g3: (10, 107)(11, 60)(12, 158)(59, 156)(61, 109)(108, 157)
h3: (42, 139)(43, 92)(44, 190)(91, 188)(93, 141)(140, 189)
m3: (35, 132)(36, 182)(84, 181)(85, 133)
n4: (20, 117)(21, 70)(22, 168)(69, 166)(71, 119)(118, 167)
a4: (43, 140)(44, 190)(92, 189)(93, 141)
b4: (19, 116)(20, 166)(68, 165)(69, 117)
c4: (8, 105)(9, 58)(10, 156)(57, 154)(59, 107)(106, 155)
d4: (12, 109)(13, 62)(14, 160)(61, 158)(63, 111)(110, 159)
e4: (6, 103)(7, 56)(8, 154)(55, 152)(57, 105)(104, 153)
f4: (26, 123)(27, 76)(28, 174)(75, 172)(77, 125)(124, 173)
g4: (4, 101)(5, 54)(6, 152)(53, 150)(55, 103)(102, 151)

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

**************