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On this page are computer-accessible forms for the graph C4[ 192, 48 ] =
KE_48(1,23,2,27,1).
(I) Following is a form readable by MAGMA:
g:=Graph<192|{ {2, 3}, {190, 191}, {188, 189}, {186, 187}, {184, 185}, {182,
183}, {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}, {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}, {96, 98}, {1, 2}, {189, 190}, {185,
186}, {45, 46}, {5, 6}, {9, 10}, {13, 14}, {17, 18}, {21, 22}, {25, 26}, {29,
30}, {33, 34}, {37, 38}, {41, 42}, {145, 146}, {149, 150}, {153, 154}, {157,
158}, {161, 162}, {165, 166}, {169, 170}, {173, 174}, {177, 178}, {181, 182},
{3, 4}, {187, 188}, {43, 44}, {11, 12}, {19, 20}, {27, 28}, {35, 36}, {147,
148}, {155, 156}, {163, 164}, {171, 172}, {179, 180}, {7, 8}, {183, 184}, {23,
24}, {39, 40}, {151, 152}, {167, 168}, {32, 57}, {34, 59}, {36, 61}, {38, 63},
{33, 58}, {37, 62}, {15, 16}, {47, 48}, {35, 60}, {175, 176}, {31, 56}, {24,
49}, {26, 51}, {28, 53}, {30, 55}, {25, 50}, {29, 54}, {27, 52}, {64, 112}, {76,
124}, {75, 123}, {74, 122}, {73, 121}, {72, 120}, {71, 119}, {70, 118}, {69,
117}, {68, 116}, {67, 115}, {66, 114}, {65, 113}, {77, 125}, {78, 126}, {79,
127}, {128, 176}, {129, 177}, {130, 178}, {131, 179}, {132, 180}, {133, 181},
{134, 182}, {135, 183}, {136, 184}, {137, 185}, {138, 186}, {139, 187}, {140,
188}, {141, 189}, {142, 190}, {143, 191}, {1, 48}, {64, 114}, {76, 126}, {73,
123}, {72, 122}, {69, 119}, {68, 118}, {65, 115}, {77, 127}, {66, 116}, {75,
125}, {74, 124}, {67, 117}, {70, 120}, {71, 121}, {95, 97}, {31, 32}, {159,
160}, {2, 75}, {4, 77}, {6, 79}, {16, 89}, {18, 91}, {20, 93}, {22, 95}, {1,
74}, {5, 78}, {17, 90}, {21, 94}, {62, 112}, {63, 113}, {3, 76}, {19, 92}, {49,
97}, {63, 111}, {62, 110}, {61, 109}, {60, 108}, {59, 107}, {58, 106}, {57,
105}, {56, 104}, {55, 103}, {54, 102}, {53, 101}, {52, 100}, {51, 99}, {50, 98},
{144, 192}, {145, 192}, {49, 99}, {61, 111}, {60, 110}, {57, 107}, {56, 106},
{53, 103}, {52, 102}, {50, 100}, {59, 109}, {58, 108}, {51, 101}, {7, 80}, {15,
88}, {8, 81}, {10, 83}, {12, 85}, {14, 87}, {9, 82}, {13, 86}, {54, 104}, {55,
105}, {11, 84}, {1, 97}, {2, 98}, {3, 99}, {4, 100}, {5, 101}, {6, 102}, {7,
103}, {8, 104}, {9, 105}, {10, 106}, {11, 107}, {12, 108}, {13, 109}, {14, 110},
{15, 111}, {16, 112}, {17, 113}, {18, 114}, {19, 115}, {20, 116}, {21, 117},
{22, 118}, {23, 119}, {24, 120}, {25, 121}, {26, 122}, {27, 123}, {28, 124},
{29, 125}, {30, 126}, {31, 127}, {39, 64}, {47, 72}, {40, 65}, {46, 71}, {44,
69}, {42, 67}, {41, 66}, {45, 70}, {43, 68}, {23, 96}, {48, 73}, {191, 192},
{53, 176}, {69, 192}, {63, 186}, {61, 184}, {55, 178}, {54, 177}, {62, 185},
{56, 179}, {60, 183}, {57, 180}, {59, 182}, {58, 181}, {52, 175}, {49, 172},
{51, 174}, {50, 173}, {32, 128}, {48, 144}, {47, 143}, {46, 142}, {45, 141},
{44, 140}, {43, 139}, {42, 138}, {33, 129}, {34, 130}, {35, 131}, {36, 132},
{37, 133}, {38, 134}, {39, 135}, {40, 136}, {41, 137}, {80, 155}, {84, 159},
{96, 171}, {81, 156}, {83, 158}, {78, 128}, {79, 129}, {94, 144}, {82, 157},
{80, 128}, {81, 129}, {82, 130}, {83, 131}, {84, 132}, {85, 133}, {86, 134},
{87, 135}, {88, 136}, {89, 137}, {90, 138}, {91, 139}, {92, 140}, {93, 141},
{94, 142}, {95, 143}, {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}, {80, 130}, {81,
131}, {84, 134}, {85, 135}, {88, 138}, {89, 139}, {92, 142}, {93, 143}, {71,
146}, {77, 152}, {79, 154}, {82, 132}, {83, 133}, {90, 140}, {91, 141}, {70,
145}, {78, 153}, {72, 147}, {76, 151}, {73, 148}, {75, 150}, {86, 136}, {87,
137}, {74, 149}, {96, 144}, {97, 145}, {98, 146}, {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}, {85, 160}, {87, 162}, {93, 168},
{95, 170}, {86, 161}, {94, 169}, {64, 187}, {68, 191}, {88, 163}, {92, 167},
{65, 188}, {67, 190}, {89, 164}, {91, 166}, {66, 189}, {90, 165} }>;
(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: (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) (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, 97, 74, 48)(3, 95, 149, 144)(4, 22, 101, 94)(5, 21)(6, 117, 78, 20)(7,
67, 153, 116)(8, 42, 105, 66)(9, 41)(10, 137, 82, 40)(11, 87, 157, 136)(12, 14,
109, 86)(15, 59, 161, 108)(16, 34, 113, 58)(17, 33)(18, 129, 90, 32)(19, 79,
165, 128)(23, 51, 169, 100)(24, 26, 121, 50)(27, 71, 173, 120)(28, 46, 125,
70)(29, 45)(30, 141, 54, 44)(31, 91, 177, 140)(35, 63, 181, 112)(36, 38, 133,
62)(39, 83, 185, 132)(43, 55, 189, 104)(47, 75, 145, 124)(49, 122, 73, 98)(52,
119, 174, 168)(53, 142, 77, 118)(56, 139, 178, 188)(57, 114, 81, 138)(60, 111,
182, 160)(61, 134, 85, 110)(64, 131, 186, 180)(65, 106, 89, 130)(68, 103, 190,
152)(69, 126, 93, 102)(72, 123, 146, 172)(76, 143, 150, 192)(80, 115, 154,
164)(84, 135, 158, 184)(88, 107, 162, 156)(92, 127, 166, 176)(96, 99, 170,
148)(147, 171)(151, 191)(155, 163)(159, 183)(167, 175)(179, 187)
c: (2, 74)(3, 124)(4, 28)(5, 29)(6, 54)(7, 104)(10, 82)(11, 132)(12, 36)(13,
37)(14, 62)(15, 112)(18, 90)(19, 140)(20, 44)(21, 45)(22, 70)(23, 120)(26,
50)(27, 100)(30, 78)(31, 128)(34, 58)(35, 108)(38, 86)(39, 136)(42, 66)(43,
116)(46, 94)(47, 144)(51, 173)(53, 77)(55, 153)(56, 80)(59, 181)(61, 85)(63,
161)(64, 88)(67, 189)(69, 93)(71, 169)(72, 96)(75, 149)(79, 177)(83, 157)(87,
185)(91, 165)(95, 145)(98, 122)(99, 172)(101, 125)(103, 152)(106, 130)(107,
180)(109, 133)(111, 160)(114, 138)(115, 188)(117, 141)(119, 168)(123, 148)(127,
176)(131, 156)(135, 184)(139, 164)(143, 192)(146, 170)(147, 171)(154, 178)(155,
179)(162, 186)(163, 187)
C4[ 192, 48 ]
192
-1 2 48 74 97
-2 1 3 75 98
-3 99 2 4 76
-4 77 100 3 5
-5 78 101 4 6
-6 79 102 5 7
-7 80 103 6 8
-8 81 104 7 9
-9 82 105 8 10
-10 11 83 106 9
-11 12 84 107 10
-12 11 13 85 108
-13 12 14 86 109
-14 110 13 15 87
-15 88 111 14 16
-16 89 112 15 17
-17 90 113 16 18
-18 91 114 17 19
-19 92 115 18 20
-20 93 116 19 21
-21 22 94 117 20
-22 23 95 118 21
-23 22 24 96 119
-24 23 25 49 120
-25 121 24 26 50
-26 122 25 27 51
-27 123 26 28 52
-28 124 27 29 53
-29 125 28 30 54
-30 55 126 29 31
-31 56 127 30 32
-32 33 57 128 31
-33 34 58 129 32
-34 33 35 59 130
-35 34 36 60 131
-36 132 35 37 61
-37 133 36 38 62
-38 134 37 39 63
-39 135 38 40 64
-40 136 39 41 65
-41 66 137 40 42
-42 67 138 41 43
-43 44 68 139 42
-44 45 69 140 43
-45 44 46 70 141
-46 45 47 71 142
-47 143 46 48 72
-48 1 144 47 73
-49 99 24 172 97
-50 100 25 173 98
-51 99 101 26 174
-52 100 102 27 175
-53 176 101 103 28
-54 177 102 104 29
-55 178 103 105 30
-56 179 104 106 31
-57 180 105 107 32
-58 33 181 106 108
-59 34 182 107 109
-60 110 35 183 108
-61 111 36 184 109
-62 110 112 37 185
-63 111 113 38 186
-64 187 112 114 39
-65 188 113 115 40
-66 189 114 116 41
-67 190 115 117 42
-68 191 116 118 43
-69 44 192 117 119
-70 45 145 118 120
-71 121 46 146 119
-72 122 47 147 120
-73 121 123 48 148
-74 1 122 124 149
-75 2 123 125 150
-76 3 124 126 151
-77 4 125 127 152
-78 5 126 128 153
-79 154 6 127 129
-80 155 7 128 130
-81 156 8 129 131
-82 132 157 9 130
-83 133 158 10 131
-84 11 132 134 159
-85 12 133 135 160
-86 13 134 136 161
-87 14 135 137 162
-88 15 136 138 163
-89 16 137 139 164
-90 165 17 138 140
-91 166 18 139 141
-92 167 19 140 142
-93 143 168 20 141
-94 144 169 21 142
-95 22 143 170 97
-96 23 144 171 98
-97 1 145 49 95
-98 2 146 50 96
-99 3 147 49 51
-100 4 148 50 52
-101 5 149 51 53
-102 6 150 52 54
-103 55 7 151 53
-104 56 8 152 54
-105 55 57 9 153
-106 154 56 58 10
-107 11 155 57 59
-108 12 156 58 60
-109 13 157 59 61
-110 14 158 60 62
-111 15 159 61 63
-112 16 160 62 64
-113 17 161 63 65
-114 66 18 162 64
-115 67 19 163 65
-116 66 68 20 164
-117 165 67 69 21
-118 22 166 68 70
-119 23 167 69 71
-120 24 168 70 72
-121 25 169 71 73
-122 26 170 72 74
-123 27 171 73 75
-124 28 172 74 76
-125 77 29 173 75
-126 78 30 174 76
-127 77 79 31 175
-128 176 78 80 32
-129 33 177 79 81
-130 34 178 80 82
-131 35 179 81 83
-132 36 180 82 84
-133 37 181 83 85
-134 38 182 84 86
-135 39 183 85 87
-136 88 40 184 86
-137 89 41 185 87
-138 88 90 42 186
-139 187 89 91 43
-140 44 188 90 92
-141 45 189 91 93
-142 46 190 92 94
-143 47 191 93 95
-144 48 192 94 96
-145 146 70 192 97
-146 145 147 71 98
-147 99 146 148 72
-148 100 147 149 73
-149 101 148 150 74
-150 102 149 151 75
-151 103 150 152 76
-152 77 104 151 153
-153 154 78 105 152
-154 155 79 106 153
-155 154 156 80 107
-156 155 157 81 108
-157 156 158 82 109
-158 110 157 159 83
-159 111 158 160 84
-160 112 159 161 85
-161 113 160 162 86
-162 114 161 163 87
-163 88 115 162 164
-164 165 89 116 163
-165 166 90 117 164
-166 165 167 91 118
-167 166 168 92 119
-168 167 169 93 120
-169 121 168 170 94
-170 122 169 171 95
-171 123 170 172 96
-172 124 49 171 173
-173 125 50 172 174
-174 126 51 173 175
-175 176 127 52 174
-176 177 128 53 175
-177 176 178 129 54
-178 55 177 179 130
-179 56 178 180 131
-180 132 57 179 181
-181 133 58 180 182
-182 134 59 181 183
-183 135 60 182 184
-184 136 61 183 185
-185 137 62 184 186
-186 187 138 63 185
-187 188 139 64 186
-188 187 189 140 65
-189 66 188 190 141
-190 67 189 191 142
-191 143 68 190 192
-192 144 145 69 191
0