Graph forms
for C4 [ 192, 211 ] = SS[192,111]
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On this page are computer-accessible forms for the graph C4[ 192, 211 ] =
SS[192,111].
(I) Following is a form readable by MAGMA:
g:=Graph<192|{ {144, 145}, {1, 3}, {144, 146}, {1, 2}, {144, 147}, {1, 5}, {144,
148}, {1, 4}, {33, 36}, {32, 37}, {88, 93}, {89, 92}, {16, 22}, {16, 23}, {17,
25}, {84, 92}, {85, 93}, {86, 94}, {87, 95}, {17, 24}, {16, 26}, {180, 190},
{49, 59}, {48, 58}, {17, 27}, {177, 189}, {16, 29}, {179, 190}, {33, 44}, {32,
45}, {17, 28}, {82, 95}, {83, 94}, {86, 91}, {87, 90}, {84, 91}, {178, 189},
{176, 191}, {85, 90}, {15, 31}, {166, 182}, {142, 158}, {139, 155}, {137, 153},
{47, 63}, {46, 62}, {15, 30}, {174, 191}, {139, 154}, {8, 26}, {143, 157}, {139,
153}, {138, 152}, {11, 25}, {10, 24}, {9, 27}, {46, 61}, {171, 184}, {165, 182},
{140, 159}, {136, 155}, {135, 148}, {47, 60}, {6, 18}, {134, 146}, {41, 61},
{11, 31}, {10, 30}, {7, 19}, {41, 60}, {139, 156}, {143, 152}, {38, 62}, {137,
145}, {38, 63}, {163, 186}, {162, 187}, {142, 151}, {140, 149}, {12, 22}, {13,
23}, {6, 29}, {172, 183}, {160, 187}, {143, 148}, {141, 150}, {136, 147}, {135,
156}, {15, 20}, {14, 21}, {7, 28}, {14, 18}, {169, 181}, {141, 145}, {138, 150},
{134, 154}, {39, 59}, {15, 19}, {8, 21}, {161, 188}, {142, 147}, {138, 151},
{39, 58}, {9, 20}, {140, 146}, {164, 186}, {138, 149}, {170, 181}, {168, 183},
{167, 184}, {133, 165}, {154, 186}, {153, 185}, {66, 99}, {67, 98}, {68, 101},
{69, 100}, {132, 166}, {149, 182}, {159, 188}, {150, 181}, {157, 185}, {70, 99},
{130, 167}, {71, 98}, {76, 105}, {77, 104}, {80, 118}, {129, 167}, {64, 103},
{158, 185}, {156, 187}, {155, 188}, {65, 102}, {81, 118}, {128, 168}, {131,
171}, {70, 111}, {71, 110}, {142, 164}, {78, 101}, {148, 191}, {131, 168}, {79,
100}, {80, 123}, {81, 122}, {66, 110}, {143, 163}, {141, 161}, {140, 160}, {133,
169}, {67, 111}, {74, 102}, {75, 103}, {12, 33}, {13, 32}, {72, 101}, {73, 100},
{14, 32}, {132, 170}, {130, 172}, {129, 175}, {14, 33}, {152, 183}, {151, 184},
{146, 189}, {145, 190}, {141, 162}, {128, 176}, {76, 126}, {77, 127}, {64, 115},
{65, 114}, {74, 121}, {75, 120}, {78, 125}, {79, 124}, {80, 99}, {81, 98}, {82,
97}, {83, 96}, {18, 38}, {31, 43}, {30, 42}, {19, 39}, {76, 120}, {77, 121},
{24, 45}, {29, 40}, {28, 41}, {25, 44}, {68, 113}, {69, 112}, {26, 34}, {72,
112}, {73, 113}, {79, 119}, {27, 34}, {78, 119}, {88, 97}, {89, 96}, {30, 36},
{31, 37}, {20, 40}, {21, 41}, {22, 43}, {27, 38}, {26, 39}, {23, 42}, {29, 35},
{28, 35}, {56, 126}, {57, 127}, {60, 117}, {61, 116}, {54, 125}, {55, 124}, {62,
115}, {63, 114}, {52, 123}, {59, 116}, {58, 117}, {53, 122}, {6, 86}, {8, 88},
{6, 87}, {8, 89}, {7, 85}, {11, 89}, {10, 88}, {7, 84}, {147, 192}, {59, 104},
{58, 105}, {62, 105}, {63, 104}, {12, 85}, {57, 96}, {56, 97}, {13, 84}, {9,
83}, {9, 82}, {61, 102}, {60, 103}, {10, 86}, {11, 87}, {12, 83}, {13, 82}, {44,
72}, {45, 73}, {34, 74}, {55, 95}, {54, 94}, {53, 93}, {52, 92}, {51, 91}, {50,
90}, {40, 64}, {34, 75}, {43, 66}, {42, 67}, {40, 65}, {46, 68}, {47, 69}, {36,
79}, {45, 70}, {44, 71}, {37, 78}, {46, 66}, {47, 67}, {173, 192}, {35, 77},
{43, 69}, {42, 68}, {35, 76}, {175, 192}, {48, 65}, {49, 64}, {36, 80}, {37,
81}, {24, 109}, {25, 108}, {48, 70}, {49, 71}, {18, 106}, {49, 73}, {48, 72},
{19, 106}, {22, 109}, {23, 108}, {21, 107}, {20, 107}, {56, 136}, {5, 183}, {52,
134}, {50, 129}, {53, 134}, {51, 128}, {3, 182}, {55, 130}, {54, 131}, {50,
135}, {50, 132}, {51, 133}, {2, 181}, {53, 130}, {52, 131}, {4, 188}, {3, 186},
{2, 185}, {51, 136}, {4, 191}, {4, 184}, {57, 133}, {56, 132}, {3, 190}, {5,
187}, {57, 135}, {55, 137}, {2, 189}, {54, 137}, {106, 174}, {107, 175}, {5,
192}, {105, 175}, {106, 173}, {102, 174}, {123, 179}, {97, 171}, {103, 173},
{110, 164}, {74, 129}, {75, 128}, {96, 172}, {111, 163}, {111, 162}, {124, 177},
{122, 180}, {110, 161}, {125, 178}, {100, 180}, {115, 163}, {122, 170}, {126,
174}, {99, 178}, {113, 160}, {114, 160}, {123, 169}, {126, 172}, {127, 173},
{98, 177}, {117, 161}, {127, 171}, {101, 179}, {114, 164}, {116, 162}, {104,
176}, {108, 180}, {125, 165}, {124, 166}, {107, 176}, {109, 177}, {108, 178},
{109, 179}, {119, 150}, {121, 152}, {121, 155}, {118, 149}, {120, 156}, {117,
157}, {116, 158}, {113, 157}, {115, 159}, {119, 154}, {112, 158}, {112, 159},
{118, 153}, {120, 151}, {90, 168}, {94, 170}, {95, 169}, {93, 165}, {92, 166},
{91, 167} }>;
(II) A more general form is to represent the graph as the orbit of {144, 145}
under the group generated by the following permutations:
a: (4, 5)(10, 11)(12, 13)(22, 23)(24, 25)(30, 31)(32, 33)(36, 37)(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)(108, 109)(110, 111)(112, 113)(114, 115)(116, 117)(120, 121)(122,
123)(124, 125)(126, 127)(128, 129)(130, 131)(132, 133)(135, 136)(142, 143)(147,
148)(151, 152)(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)(183, 184)(187,
188)(191, 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: (2, 3)(4, 5)(6, 7)(8, 9)(10, 12)(11, 13)(14, 15)(16, 17)(18, 19)(20, 21)(22,
24)(23, 25)(26, 27)(28, 29)(30, 33)(31, 32)(38, 39)(40, 41)(42, 44)(43, 45)(46,
49)(47, 48)(50, 51)(52, 55)(53, 54)(56, 57)(58, 63)(59, 62)(60, 65)(61, 64)(66,
73)(67, 72)(68, 71)(69, 70)(74, 75)(76, 77)(78, 81)(79, 80)(82, 89)(83, 88)(84,
87)(85, 86)(90, 91)(92, 95)(93, 94)(96, 97)(98, 101)(99, 100)(102, 103)(104,
105)(110, 113)(111, 112)(114, 117)(115, 116)(118, 119)(120, 121)(122, 125)(123,
124)(126, 127)(128, 129)(130, 131)(132, 133)(134, 137)(135, 136)(140, 141)(142,
143)(145, 146)(147, 148)(149, 150)(151, 152)(153, 154)(155, 156)(157, 164)(158,
163)(159, 162)(160, 161)(165, 170)(166, 169)(167, 168)(171, 172)(173, 174)(175,
176)(177, 179)(178, 180)(181, 182)(183, 184)(185, 186)(187, 188)(189, 190)(191,
192)
c: (2, 5)(3, 4)(6, 12)(7, 10)(8, 13)(9, 11)(14, 16)(15, 17)(18, 22)(19, 24)(20,
25)(21, 23)(26, 32)(27, 31)(28, 30)(29, 33)(34, 37)(35, 36)(38, 43)(39, 45)(40,
44)(41, 42)(50, 54)(51, 53)(52, 56)(55, 57)(58, 70)(59, 73)(60, 67)(61, 68)(62,
66)(63, 69)(64, 71)(65, 72)(74, 78)(75, 81)(76, 80)(77, 79)(82, 89)(83, 87)(84,
88)(85, 86)(90, 94)(91, 93)(92, 97)(95, 96)(98, 103)(99, 105)(100, 104)(101,
102)(106, 109)(107, 108)(110, 115)(111, 117)(112, 114)(113, 116)(118, 120)(119,
121)(122, 128)(123, 126)(124, 127)(125, 129)(130, 133)(131, 132)(134, 136)(135,
137)(140, 142)(141, 143)(145, 148)(146, 147)(149, 151)(150, 152)(153, 156)(154,
155)(157, 162)(158, 160)(159, 164)(161, 163)(165, 167)(166, 171)(168, 170)(169,
172)(173, 177)(174, 179)(175, 178)(176, 180)(181, 183)(182, 184)(185, 187)(186,
188)(189, 192)(190, 191)
d: (1, 34, 144, 35)(2, 26, 145, 28)(3, 27, 146, 29)(4, 74, 148, 77)(5, 75, 147,
76)(6, 182, 9, 134)(7, 181, 8, 137)(10, 124, 12, 123)(11, 125, 13, 122)(14, 118,
15, 119)(16, 190, 17, 189)(18, 149, 20, 154)(19, 150, 21, 153)(22, 179, 24,
177)(23, 180, 25, 178)(30, 79, 33, 80)(31, 78, 32, 81)(38, 140, 40, 186)(39,
141, 41, 185)(42, 100, 44, 99)(43, 101, 45, 98)(46, 113, 49, 110)(47, 112, 48,
111)(50, 57, 171, 167)(51, 56, 172, 168)(52, 86, 166, 83)(53, 87, 165, 82)(54,
84, 170, 89)(55, 85, 169, 88)(58, 162, 60, 158)(59, 161, 61, 157)(62, 160, 64,
164)(63, 159, 65, 163)(66, 68, 73, 71)(67, 69, 72, 70)(90, 133, 97, 130)(91,
132, 96, 131)(92, 94)(93, 95)(102, 143, 104, 188)(103, 142, 105, 187)(106, 138,
107, 139)(114, 115)(116, 117)(120, 192)(121, 191)(126, 183, 128, 136)(127, 184,
129, 135)(151, 175, 156, 173)(152, 176, 155, 174)
e: (4, 5)(6, 9)(7, 8)(10, 12)(11, 13)(14, 15)(16, 17)(18, 20)(19, 21)(22,
24)(23, 25)(26, 28)(27, 29)(30, 33)(31, 32)(34, 35)(38, 40)(39, 41)(42, 44)(43,
45)(46, 48)(47, 49)(50, 56)(51, 57)(58, 61)(59, 60)(62, 65)(63, 64)(66, 70)(67,
71)(68, 72)(69, 73)(74, 76)(75, 77)(82, 87)(83, 86)(84, 89)(85, 88)(90, 97)(91,
96)(102, 105)(103, 104)(106, 107)(110, 111)(112, 113)(114, 115)(116, 117)(120,
121)(126, 129)(127, 128)(135, 136)(142, 143)(147, 148)(151, 152)(155, 156)(157,
158)(159, 160)(161, 162)(163, 164)(167, 172)(168, 171)(173, 176)(174, 175)(183,
184)(187, 188)(191, 192)
f: (1, 6)(2, 18)(3, 29)(4, 87)(5, 86)(7, 138)(8, 139)(9, 144)(10, 187)(11,
188)(12, 142)(13, 143)(14, 185)(15, 141)(16, 186)(17, 140)(19, 150)(20, 145)(21,
153)(22, 164)(23, 163)(24, 160)(25, 159)(26, 154)(27, 146)(28, 149)(30, 162)(31,
161)(32, 157)(33, 158)(34, 134)(35, 182)(36, 116)(37, 117)(38, 189)(39, 119)(40,
190)(41, 118)(42, 111)(43, 110)(44, 112)(45, 113)(46, 99)(47, 98)(48, 101)(49,
100)(50, 171)(51, 172)(52, 74)(53, 75)(54, 175)(55, 176)(56, 57)(58, 78)(59,
79)(60, 81)(61, 80)(62, 178)(63, 177)(64, 180)(65, 179)(68, 70)(69, 71)(76,
165)(77, 166)(82, 148)(83, 147)(84, 152)(85, 151)(88, 156)(89, 155)(90, 184)(91,
183)(92, 121)(93, 120)(94, 192)(95, 191)(96, 136)(97, 135)(102, 123)(103,
122)(104, 124)(105, 125)(106, 181)(107, 137)(108, 115)(109, 114)(126, 133)(127,
132)(128, 130)(129, 131)(167, 168)(169, 174)(170, 173)
C4[ 192, 211 ]
192
-1 2 3 4 5
-2 1 189 181 185
-3 1 190 182 186
-4 1 188 191 184
-5 187 1 192 183
-6 18 29 86 87
-7 28 84 19 85
-8 88 89 26 21
-9 27 82 83 20
-10 88 24 30 86
-11 89 25 31 87
-12 22 33 83 85
-13 23 82 84 32
-14 33 18 21 32
-15 19 30 20 31
-16 22 23 26 29
-17 24 25 27 28
-18 14 38 6 106
-19 15 39 7 106
-20 15 40 107 9
-21 14 8 41 107
-22 12 16 43 109
-23 13 16 42 108
-24 45 17 10 109
-25 11 44 17 108
-26 34 16 39 8
-27 34 38 17 9
-28 35 17 7 41
-29 35 16 6 40
-30 36 15 42 10
-31 11 15 37 43
-32 45 13 14 37
-33 44 12 14 36
-34 26 27 74 75
-35 77 28 29 76
-36 33 79 80 30
-37 78 81 31 32
-38 27 18 62 63
-39 58 26 59 19
-40 29 20 64 65
-41 60 28 61 21
-42 23 67 68 30
-43 22 66 69 31
-44 33 25 71 72
-45 24 70 73 32
-46 66 68 61 62
-47 67 69 60 63
-48 58 70 72 65
-49 59 71 73 64
-50 132 90 135 129
-51 133 91 136 128
-52 123 134 92 131
-53 122 134 93 130
-54 125 137 94 131
-55 124 137 95 130
-56 132 136 126 97
-57 133 135 127 96
-58 48 39 105 117
-59 49 104 39 116
-60 47 103 117 41
-61 46 102 116 41
-62 46 38 115 105
-63 47 114 38 104
-64 103 49 115 40
-65 102 48 114 40
-66 99 110 46 43
-67 111 47 42 98
-68 46 101 113 42
-69 100 112 47 43
-70 99 45 111 48
-71 44 110 49 98
-72 44 101 112 48
-73 45 100 113 49
-74 121 34 102 129
-75 34 103 128 120
-76 35 126 105 120
-77 121 35 104 127
-78 101 37 125 119
-79 100 36 124 119
-80 99 123 36 118
-81 122 37 118 98
-82 13 95 9 97
-83 12 94 96 9
-84 13 91 92 7
-85 12 90 93 7
-86 91 6 94 10
-87 11 90 6 95
-88 93 8 97 10
-89 11 92 8 96
-90 168 50 85 87
-91 167 51 84 86
-92 89 166 84 52
-93 88 165 85 53
-94 170 83 86 54
-95 55 169 82 87
-96 89 57 83 172
-97 88 56 82 171
-98 67 177 81 71
-99 66 178 80 70
-100 79 69 180 73
-101 78 68 179 72
-102 61 74 174 65
-103 60 173 64 75
-104 77 176 59 63
-105 58 62 76 175
-106 18 19 173 174
-107 176 20 21 175
-108 23 178 25 180
-109 22 177 24 179
-110 66 71 161 164
-111 67 70 162 163
-112 69 158 159 72
-113 68 157 160 73
-114 160 63 65 164
-115 159 62 64 163
-116 59 158 61 162
-117 58 157 60 161
-118 80 81 149 153
-119 154 78 79 150
-120 156 151 75 76
-121 77 155 74 152
-122 81 180 170 53
-123 80 179 169 52
-124 55 166 177 79
-125 165 78 178 54
-126 56 172 174 76
-127 77 57 171 173
-128 176 168 51 75
-129 167 50 74 175
-130 55 167 172 53
-131 168 171 52 54
-132 56 166 170 50
-133 165 57 169 51
-134 154 146 52 53
-135 57 156 148 50
-136 56 155 147 51
-137 55 145 54 153
-138 149 150 151 152
-139 154 155 156 153
-140 146 159 149 160
-141 145 150 161 162
-142 147 158 151 164
-143 157 148 152 163
-144 145 146 147 148
-145 144 190 137 141
-146 144 134 189 140
-147 144 136 192 142
-148 143 144 135 191
-149 138 182 118 140
-150 181 138 119 141
-151 138 184 120 142
-152 121 143 138 183
-153 137 139 118 185
-154 134 139 119 186
-155 121 188 136 139
-156 187 135 139 120
-157 143 113 117 185
-158 112 116 185 142
-159 188 112 115 140
-160 187 113 114 140
-161 110 188 117 141
-162 187 111 116 141
-163 143 111 115 186
-164 110 114 142 186
-165 133 125 93 182
-166 132 124 92 182
-167 91 129 184 130
-168 90 128 183 131
-169 133 123 181 95
-170 132 122 181 94
-171 127 184 97 131
-172 126 183 96 130
-173 103 192 127 106
-174 102 191 126 106
-175 192 105 107 129
-176 191 104 128 107
-177 189 124 98 109
-178 99 189 125 108
-179 101 123 190 109
-180 100 122 190 108
-181 2 169 170 150
-182 165 166 3 149
-183 168 5 172 152
-184 167 4 171 151
-185 2 157 158 153
-186 154 3 163 164
-187 156 5 160 162
-188 155 4 159 161
-189 177 2 178 146
-190 145 3 179 180
-191 176 4 148 174
-192 147 5 173 175
0