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