Graph forms
for C4 [ 216, 28 ] = AMC(24,3,[0.1:2.2])
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On this page are computer-accessible forms for the graph C4[ 216, 28 ] =
AMC(24,3,[0.1:2.2]).
(I) Following is a form readable by MAGMA:
g:=Graph<216|{ {54, 55}, {108, 109}, {162, 163}, {8, 11}, {196, 199}, {189,
190}, {88, 91}, {81, 82}, {36, 39}, {116, 119}, {144, 147}, {25, 29}, {187,
191}, {107, 111}, {106, 110}, {80, 84}, {26, 30}, {160, 164}, {161, 165}, {9,
12}, {186, 191}, {104, 109}, {89, 92}, {80, 85}, {24, 29}, {26, 31}, {35, 38},
{50, 55}, {115, 118}, {162, 167}, {169, 172}, {171, 174}, {8, 14}, {193, 199},
{89, 95}, {88, 94}, {9, 15}, {32, 38}, {33, 39}, {112, 118}, {113, 119}, {144,
150}, {168, 174}, {169, 175}, {27, 28}, {185, 190}, {105, 110}, {96, 103}, {90,
93}, {81, 86}, {72, 79}, {34, 37}, {120, 127}, {161, 166}, {170, 173}, {17, 25},
{103, 111}, {99, 107}, {98, 106}, {96, 104}, {71, 79}, {69, 77}, {68, 76}, {18,
26}, {22, 30}, {38, 46}, {39, 47}, {49, 57}, {52, 60}, {65, 73}, {66, 74}, {119,
127}, {130, 138}, {133, 141}, {146, 154}, {147, 155}, {149, 157}, {150, 158},
{160, 168}, {176, 184}, {177, 185}, {179, 187}, {180, 188}, {39, 46}, {99, 106},
{69, 76}, {147, 154}, {177, 184}, {6, 12}, {198, 204}, {195, 201}, {194, 200},
{97, 107}, {87, 93}, {86, 92}, {68, 78}, {7, 13}, {16, 26}, {17, 27}, {21, 31},
{34, 40}, {35, 41}, {37, 47}, {48, 58}, {64, 74}, {65, 75}, {114, 120}, {115,
121}, {129, 139}, {132, 142}, {145, 155}, {148, 158}, {149, 159}, {166, 172},
{167, 173}, {176, 186}, {16, 27}, {18, 25}, {23, 28}, {51, 56}, {64, 75}, {66,
73}, {131, 136}, {135, 140}, {148, 159}, {150, 157}, {1, 13}, {195, 207}, {194,
206}, {193, 205}, {192, 204}, {83, 95}, {82, 94}, {2, 14}, {3, 15}, {32, 44},
{33, 45}, {52, 56}, {53, 57}, {112, 124}, {113, 125}, {114, 126}, {133, 137},
{134, 138}, {163, 175}, {7, 10}, {197, 200}, {97, 108}, {50, 63}, {54, 59}, {67,
78}, {117, 120}, {128, 141}, {130, 143}, {132, 137}, {134, 139}, {145, 156}, {4,
10}, {197, 203}, {196, 202}, {98, 108}, {85, 91}, {5, 11}, {36, 42}, {48, 62},
{51, 61}, {67, 77}, {116, 122}, {117, 123}, {128, 142}, {129, 143}, {146, 156},
{178, 188}, {179, 189}, {49, 62}, {198, 201}, {192, 207}, {53, 58}, {135, 136},
{178, 189}, {180, 187}, {1, 16}, {100, 117}, {3, 18}, {46, 63}, {109, 124},
{111, 126}, {137, 152}, {163, 178}, {165, 180}, {47, 61}, {102, 116}, {75, 89},
{74, 88}, {2, 17}, {103, 116}, {73, 90}, {47, 60}, {110, 125}, {131, 144}, {138,
153}, {4, 16}, {5, 17}, {6, 18}, {109, 121}, {110, 122}, {111, 123}, {140, 152},
{141, 153}, {164, 176}, {165, 177}, {166, 178}, {167, 179}, {13, 24}, {205,
216}, {199, 210}, {100, 113}, {76, 89}, {37, 48}, {46, 59}, {175, 186}, {14,
24}, {206, 216}, {199, 209}, {102, 112}, {101, 115}, {78, 88}, {71, 81}, {70,
80}, {38, 48}, {175, 185}, {70, 81}, {101, 114}, {77, 90}, {164, 179}, {11, 19},
{207, 215}, {206, 214}, {204, 212}, {203, 211}, {201, 209}, {200, 208}, {106,
114}, {79, 87}, {76, 84}, {72, 80}, {12, 20}, {14, 22}, {15, 23}, {41, 49}, {42,
50}, {44, 52}, {45, 53}, {173, 181}, {174, 182}, {15, 22}, {207, 214}, {201,
208}, {45, 52}, {13, 23}, {205, 215}, {200, 210}, {105, 115}, {40, 50}, {41,
51}, {44, 54}, {139, 145}, {142, 148}, {143, 149}, {170, 176}, {171, 177}, {172,
182}, {173, 183}, {40, 51}, {107, 112}, {42, 49}, {172, 183}, {174, 181}, {79,
83}, {136, 148}, {137, 149}, {138, 150}, {139, 151}, {168, 180}, {43, 54}, {108,
113}, {104, 117}, {78, 83}, {74, 87}, {143, 146}, {10, 20}, {203, 213}, {202,
212}, {75, 85}, {11, 21}, {43, 53}, {140, 146}, {141, 147}, {10, 21}, {204,
211}, {202, 213}, {77, 82}, {73, 86}, {12, 19}, {136, 151}, {142, 145}, {29,
44}, {83, 98}, {154, 171}, {155, 169}, {19, 32}, {82, 97}, {23, 36}, {30, 45},
{155, 168}, {28, 40}, {87, 99}, {86, 98}, {85, 97}, {84, 96}, {29, 41}, {30,
42}, {31, 43}, {20, 33}, {22, 35}, {151, 162}, {158, 171}, {20, 34}, {95, 105},
{94, 104}, {21, 35}, {151, 161}, {156, 170}, {159, 169}, {19, 36}, {94, 105},
{84, 99}, {28, 43}, {157, 170}, {25, 33}, {95, 103}, {93, 101}, {92, 100}, {152,
160}, {153, 161}, {157, 165}, {93, 100}, {153, 160}, {24, 34}, {92, 102}, {90,
96}, {31, 37}, {152, 162}, {156, 166}, {27, 32}, {159, 164}, {91, 102}, {154,
167}, {158, 163}, {91, 101}, {55, 70}, {191, 206}, {57, 72}, {182, 196}, {183,
197}, {181, 198}, {190, 205}, {55, 67}, {191, 203}, {190, 202}, {60, 72}, {182,
195}, {183, 193}, {181, 194}, {184, 192}, {187, 195}, {58, 64}, {59, 65}, {62,
68}, {63, 69}, {56, 68}, {188, 192}, {57, 69}, {58, 70}, {59, 71}, {61, 64},
{188, 193}, {184, 197}, {63, 66}, {60, 66}, {186, 196}, {61, 67}, {56, 71},
{189, 194}, {185, 198}, {62, 65}, {3, 211}, {6, 214}, {7, 213}, {4, 215}, {2,
214}, {3, 215}, {1, 212}, {5, 208}, {4, 210}, {7, 209}, {2, 213}, {6, 209}, {1,
216}, {9, 208}, {8, 210}, {8, 211}, {5, 216}, {9, 212}, {127, 144}, {127, 140},
{118, 128}, {119, 129}, {118, 129}, {120, 128}, {122, 130}, {123, 131}, {125,
133}, {126, 134}, {123, 130}, {121, 131}, {124, 134}, {125, 135}, {124, 135},
{126, 133}, {121, 132}, {122, 132} }>;
(II) A more general form is to represent the graph as the orbit of {54, 55}
under the group generated by the following permutations:
a: (1, 4)(2, 6)(3, 5)(8, 9)(10, 13)(11, 15)(12, 14)(17, 18)(19, 22)(20, 24)(21,
23)(26, 27)(28, 31)(29, 33)(30, 32)(35, 36)(37, 40)(38, 42)(39, 41)(44, 45)(46,
49)(47, 51)(48, 50)(53, 54)(55, 58)(56, 60)(57, 59)(62, 63)(64, 67)(65, 69)(66,
68)(71, 72)(73, 76)(74, 78)(75, 77)(80, 81)(82, 85)(83, 87)(84, 86)(89, 90)(91,
94)(92, 96)(93, 95)(98, 99)(100, 103)(101, 105)(102, 104)(107, 108)(109,
112)(110, 114)(111, 113)(116, 117)(118, 121)(119, 123)(120, 122)(125, 126)(127,
130)(128, 132)(129, 131)(134, 135)(136, 139)(137, 141)(138, 140)(143, 144)(145,
148)(146, 150)(147, 149)(152, 153)(154, 157)(155, 159)(156, 158)(161, 162)(163,
166)(164, 168)(165, 167)(170, 171)(172, 175)(173, 177)(174, 176)(179, 180)(181,
184)(182, 186)(183, 185)(188, 189)(190, 193)(191, 195)(192, 194)(197, 198)(199,
202)(200, 204)(201, 203)(206, 207)(208, 211)(209, 213)(210, 212)(215, 216) (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, 10, 19, 28, 37, 46, 55, 64, 73, 82, 91, 100, 109, 118, 127, 136, 145,
154, 163, 172, 181, 190, 199, 208)(2, 18, 22, 29, 45, 49, 56, 72, 76, 83, 99,
103, 110, 126, 130, 137, 153, 157, 164, 180, 184, 191, 207, 211)(3, 14, 25, 30,
41, 52, 57, 68, 79, 84, 95, 106, 111, 122, 133, 138, 149, 160, 165, 176, 187,
192, 203, 214)(4, 11, 27, 31, 38, 54, 58, 65, 81, 85, 92, 108, 112, 119, 135,
139, 146, 162, 166, 173, 189, 193, 200, 216)(5, 16, 21, 32, 43, 48, 59, 70, 75,
86, 97, 102, 113, 124, 129, 140, 151, 156, 167, 178, 183, 194, 205, 210)(6, 15,
24, 33, 42, 51, 60, 69, 78, 87, 96, 105, 114, 123, 132, 141, 150, 159, 168, 177,
186, 195, 204, 213)(7, 12, 23, 34, 39, 50, 61, 66, 77, 88, 93, 104, 115, 120,
131, 142, 147, 158, 169, 174, 185, 196, 201, 212)(8, 17, 26, 35, 44, 53, 62, 71,
80, 89, 98, 107, 116, 125, 134, 143, 152, 161, 170, 179, 188, 197, 206, 215)(9,
13, 20, 36, 40, 47, 63, 67, 74, 90, 94, 101, 117, 121, 128, 144, 148, 155, 171,
175, 182, 198, 202, 209)
c: (2, 3)(4, 7)(5, 9)(6, 8)(11, 12)(13, 16)(14, 18)(15, 17)(20, 21)(22, 25)(23,
27)(24, 26)(29, 30)(31, 34)(32, 36)(33, 35)(38, 39)(40, 43)(41, 45)(42, 44)(47,
48)(49, 52)(50, 54)(51, 53)(56, 57)(58, 61)(59, 63)(60, 62)(65, 66)(67, 70)(68,
72)(69, 71)(74, 75)(76, 79)(77, 81)(78, 80)(83, 84)(85, 88)(86, 90)(87, 89)(92,
93)(94, 97)(95, 99)(96, 98)(101, 102)(103, 106)(104, 108)(105, 107)(110,
111)(112, 115)(113, 117)(114, 116)(119, 120)(121, 124)(122, 126)(123, 125)(128,
129)(130, 133)(131, 135)(132, 134)(137, 138)(139, 142)(140, 144)(141, 143)(146,
147)(148, 151)(149, 153)(150, 152)(155, 156)(157, 160)(158, 162)(159, 161)(164,
165)(166, 169)(167, 171)(168, 170)(173, 174)(175, 178)(176, 180)(177, 179)(182,
183)(184, 187)(185, 189)(186, 188)(191, 192)(193, 196)(194, 198)(195, 197)(200,
201)(202, 205)(203, 207)(204, 206)(209, 210)(211, 214)(212, 216)(213, 215)
d: (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, 197, 198)(199, 200, 201)(202, 203,
204)(205, 206, 207)(208, 209, 210)(211, 212, 213)(214, 215, 216)
e: (2, 3)(4, 5)(7, 9)(10, 208)(11, 210)(12, 209)(13, 212)(14, 211)(15, 213)(16,
216)(17, 215)(18, 214)(19, 199)(20, 201)(21, 200)(22, 203)(23, 202)(24, 204)(25,
207)(26, 206)(27, 205)(28, 190)(29, 192)(30, 191)(31, 194)(32, 193)(33, 195)(34,
198)(35, 197)(36, 196)(37, 181)(38, 183)(39, 182)(40, 185)(41, 184)(42, 186)(43,
189)(44, 188)(45, 187)(46, 172)(47, 174)(48, 173)(49, 176)(50, 175)(51, 177)(52,
180)(53, 179)(54, 178)(55, 163)(56, 165)(57, 164)(58, 167)(59, 166)(60, 168)(61,
171)(62, 170)(63, 169)(64, 154)(65, 156)(66, 155)(67, 158)(68, 157)(69, 159)(70,
162)(71, 161)(72, 160)(73, 145)(74, 147)(75, 146)(76, 149)(77, 148)(78, 150)(79,
153)(80, 152)(81, 151)(82, 136)(83, 138)(84, 137)(85, 140)(86, 139)(87, 141)(88,
144)(89, 143)(90, 142)(91, 127)(92, 129)(93, 128)(94, 131)(95, 130)(96, 132)(97,
135)(98, 134)(99, 133)(100, 118)(101, 120)(102, 119)(103, 122)(104, 121)(105,
123)(106, 126)(107, 125)(108, 124)(110, 111)(112, 113)(115, 117)
C4[ 216, 28 ]
216
-1 13 212 16 216
-2 14 213 214 17
-3 211 15 215 18
-4 210 16 215 10
-5 11 17 216 208
-6 209 12 214 18
-7 209 13 213 10
-8 11 210 211 14
-9 12 212 15 208
-10 4 7 20 21
-11 5 8 19 21
-12 6 19 9 20
-13 1 23 24 7
-14 22 2 24 8
-15 22 23 3 9
-16 1 4 26 27
-17 2 25 5 27
-18 3 25 26 6
-19 11 12 36 32
-20 33 12 34 10
-21 11 35 31 10
-22 35 14 15 30
-23 13 36 15 28
-24 34 13 14 29
-25 33 17 18 29
-26 16 18 30 31
-27 16 17 28 32
-28 23 27 40 43
-29 44 24 25 41
-30 22 45 26 42
-31 26 37 21 43
-32 44 27 38 19
-33 45 25 39 20
-34 24 37 40 20
-35 22 38 41 21
-36 23 39 19 42
-37 34 47 48 31
-38 35 46 48 32
-39 33 46 36 47
-40 34 28 50 51
-41 35 49 29 51
-42 36 49 50 30
-43 28 31 53 54
-44 29 52 32 54
-45 33 30 52 53
-46 59 38 39 63
-47 37 60 39 61
-48 58 37 38 62
-49 57 62 41 42
-50 55 40 63 42
-51 56 61 40 41
-52 44 45 56 60
-53 45 57 58 43
-54 44 55 59 43
-55 67 70 50 54
-56 68 71 51 52
-57 69 49 72 53
-58 48 70 53 64
-59 46 71 54 65
-60 66 47 72 52
-61 67 47 51 64
-62 68 48 49 65
-63 66 46 69 50
-64 58 61 74 75
-65 59 62 73 75
-66 60 73 63 74
-67 55 77 78 61
-68 56 78 62 76
-69 77 57 63 76
-70 55 58 80 81
-71 56 79 59 81
-72 57 79 80 60
-73 66 90 86 65
-74 66 88 64 87
-75 89 85 64 65
-76 89 68 69 84
-77 67 90 69 82
-78 88 67 68 83
-79 71 72 83 87
-80 70 72 84 85
-81 70 71 82 86
-82 77 81 94 97
-83 78 79 95 98
-84 99 80 96 76
-85 80 91 75 97
-86 81 92 73 98
-87 99 79 93 74
-88 78 91 94 74
-89 92 95 75 76
-90 77 93 73 96
-91 88 101 102 85
-92 89 100 102 86
-93 100 90 101 87
-94 88 82 104 105
-95 89 103 83 105
-96 90 103 104 84
-97 82 85 107 108
-98 83 106 86 108
-99 84 106 107 87
-100 113 92 93 117
-101 91 114 93 115
-102 112 91 92 116
-103 111 116 95 96
-104 94 117 96 109
-105 110 115 94 95
-106 99 110 114 98
-107 99 111 112 97
-108 113 97 98 109
-109 121 124 104 108
-110 122 125 105 106
-111 123 103 126 107
-112 102 124 107 118
-113 100 125 108 119
-114 101 126 106 120
-115 121 101 105 118
-116 122 102 103 119
-117 100 123 104 120
-118 112 115 128 129
-119 113 116 127 129
-120 114 127 117 128
-121 132 115 109 131
-122 110 132 116 130
-123 111 117 130 131
-124 112 134 135 109
-125 110 133 113 135
-126 111 133 134 114
-127 144 140 119 120
-128 118 141 120 142
-129 143 139 118 119
-130 143 122 123 138
-131 121 144 123 136
-132 121 122 137 142
-133 125 126 137 141
-134 124 126 138 139
-135 124 125 136 140
-136 135 148 151 131
-137 132 133 149 152
-138 134 150 130 153
-139 134 145 129 151
-140 135 146 127 152
-141 133 147 128 153
-142 132 145 148 128
-143 146 149 129 130
-144 147 127 150 131
-145 155 156 139 142
-146 143 154 156 140
-147 154 144 155 141
-148 136 158 159 142
-149 143 157 137 159
-150 144 157 158 138
-151 136 139 161 162
-152 137 160 140 162
-153 138 160 161 141
-154 167 146 147 171
-155 145 168 147 169
-156 166 145 146 170
-157 165 170 149 150
-158 148 171 150 163
-159 169 148 149 164
-160 168 152 153 164
-161 165 166 151 153
-162 167 151 152 163
-163 178 158 162 175
-164 176 179 159 160
-165 177 157 180 161
-166 156 178 161 172
-167 154 179 162 173
-168 155 180 160 174
-169 155 159 172 175
-170 176 156 157 173
-171 154 177 158 174
-172 166 169 182 183
-173 167 170 181 183
-174 168 181 171 182
-175 169 163 185 186
-176 170 184 164 186
-177 165 171 184 185
-178 166 188 189 163
-179 187 167 189 164
-180 165 187 188 168
-181 198 194 173 174
-182 172 195 174 196
-183 193 172 173 197
-184 176 177 192 197
-185 198 177 190 175
-186 176 191 196 175
-187 179 180 191 195
-188 178 180 192 193
-189 178 179 190 194
-190 189 202 205 185
-191 187 203 206 186
-192 188 204 184 207
-193 188 199 183 205
-194 189 200 181 206
-195 187 201 182 207
-196 199 202 182 186
-197 200 203 183 184
-198 201 181 204 185
-199 209 210 193 196
-200 210 194 197 208
-201 198 209 195 208
-202 190 212 213 196
-203 211 191 213 197
-204 198 211 212 192
-205 190 193 215 216
-206 191 214 194 216
-207 192 214 215 195
-208 200 201 5 9
-209 199 201 6 7
-210 199 200 4 8
-211 3 203 204 8
-212 1 202 204 9
-213 2 202 203 7
-214 2 6 206 207
-215 3 4 205 207
-216 1 5 205 206
0