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

On this page are computer-accessible forms for the graph C4[ 125, 6 ] = AMC(5,5,[0.4:1.2]).

(I) Following is a form readable by MAGMA:

g:=Graph<125|{ {24, 29}, {74, 76}, {75, 77}, {25, 30}, {72, 79}, {98, 106}, {100, 108}, {99, 107}, {71, 78}, {23, 28}, {99, 111}, {22, 27}, {96, 109}, {21, 26}, {97, 110}, {96, 113}, {98, 115}, {64, 82}, {73, 91}, {69, 87}, {68, 86}, {65, 83}, {97, 114}, {8, 28}, {100, 112}, {11, 31}, {10, 30}, {9, 29}, {40, 61}, {74, 92}, {75, 93}, {72, 95}, {32, 56}, {33, 57}, {34, 58}, {35, 59}, {37, 61}, {38, 62}, {39, 63}, {67, 90}, {73, 80}, {71, 94}, {32, 58}, {33, 59}, {36, 62}, {37, 63}, {35, 56}, {66, 89}, {64, 91}, {6, 26}, {7, 27}, {65, 92}, {1, 31}, {70, 88}, {34, 60}, {66, 98}, {68, 100}, {67, 99}, {78, 111}, {90, 123}, {88, 121}, {84, 117}, {80, 113}, {2, 32}, {19, 49}, {18, 48}, {15, 45}, {14, 44}, {11, 41}, {10, 40}, {7, 37}, {6, 36}, {3, 33}, {31, 60}, {89, 122}, {85, 118}, {69, 96}, {80, 117}, {4, 34}, {81, 119}, {20, 50}, {13, 43}, {12, 42}, {5, 35}, {31, 57}, {70, 97}, {83, 116}, {27, 51}, {28, 52}, {29, 53}, {30, 54}, {28, 54}, {87, 125}, {86, 124}, {82, 120}, {81, 123}, {29, 55}, {12, 32}, {15, 35}, {14, 34}, {13, 33}, {2, 47}, {84, 121}, {26, 55}, {30, 51}, {8, 38}, {83, 125}, {82, 124}, {9, 39}, {26, 52}, {27, 53}, {1, 46}, {85, 122}, {86, 103}, {92, 109}, {88, 105}, {3, 48}, {93, 110}, {91, 104}, {16, 36}, {95, 107}, {94, 106}, {19, 39}, {18, 38}, {17, 37}, {24, 44}, {25, 45}, {4, 49}, {92, 105}, {78, 120}, {5, 50}, {91, 108}, {93, 101}, {95, 103}, {94, 102}, {76, 118}, {77, 119}, {79, 116}, {20, 40}, {90, 102}, {89, 101}, {22, 42}, {21, 41}, {23, 43}, {16, 46}, {77, 115}, {76, 114}, {17, 47}, {79, 112}, {87, 104}, {51, 99}, {52, 100}, {53, 96}, {55, 98}, {54, 97}, {51, 83}, {63, 95}, {62, 94}, {61, 93}, {58, 90}, {57, 89}, {56, 88}, {53, 85}, {52, 84}, {11, 105}, {36, 65}, {55, 82}, {46, 75}, {21, 115}, {38, 64}, {39, 65}, {46, 72}, {47, 73}, {15, 104}, {54, 81}, {23, 112}, {40, 64}, {42, 66}, {43, 67}, {44, 68}, {45, 69}, {47, 71}, {12, 101}, {61, 84}, {57, 80}, {14, 103}, {24, 113}, {5, 111}, {41, 67}, {44, 70}, {13, 102}, {62, 85}, {60, 87}, {25, 114}, {59, 86}, {42, 68}, {63, 81}, {43, 69}, {41, 70}, {45, 66}, {1, 112}, {20, 101}, {13, 124}, {11, 122}, {9, 120}, {7, 118}, {3, 114}, {4, 118}, {60, 78}, {9, 123}, {8, 122}, {5, 119}, {2, 113}, {14, 125}, {6, 117}, {25, 106}, {50, 71}, {2, 116}, {59, 77}, {58, 76}, {17, 103}, {16, 102}, {15, 121}, {10, 124}, {3, 117}, {24, 110}, {4, 115}, {56, 79}, {12, 123}, {48, 72}, {50, 74}, {49, 73}, {1, 120}, {22, 111}, {20, 109}, {18, 107}, {18, 104}, {49, 75}, {22, 108}, {19, 105}, {23, 109}, {48, 74}, {6, 125}, {17, 106}, {7, 121}, {21, 107}, {16, 110}, {10, 116}, {8, 119}, {19, 108} }>;

(II) A more general form is to represent the graph as the orbit of {24, 29} under the group generated by the following permutations:

a: (2, 50, 18, 125)(3, 69, 10, 94)(4, 88, 22, 63)(5, 107, 14, 32)(6, 113, 20, 38)(8, 26, 24, 101)(9, 75, 11, 100)(12, 119, 21, 44)(15, 51, 17, 76)(16, 57, 23, 82)(27, 37, 118, 121)(28, 55, 110, 89)(29, 93, 122, 52)(30, 106, 114, 45)(31, 112, 120, 46)(33, 43, 124, 102)(34, 56, 111, 95)(35, 99, 103, 58)(36, 80, 109, 64)(39, 49, 105, 108)(40, 62, 117, 96)(41, 68, 123, 77)(42, 81, 115, 70)(47, 74, 104, 83)(48, 87, 116, 71)(53, 61, 85, 84)(54, 98, 97, 66)(59, 67, 86, 90)(60, 79, 78, 72)(65, 73, 92, 91)
b: (2, 5)(3, 4)(6, 21)(7, 25)(8, 24)(9, 23)(10, 22)(11, 16)(12, 20)(13, 19)(14, 18)(15, 17)(27, 30)(28, 29)(31, 46)(32, 50)(33, 49)(34, 48)(35, 47)(36, 41)(37, 45)(38, 44)(39, 43)(40, 42)(52, 55)(53, 54)(56, 71)(57, 75)(58, 74)(59, 73)(60, 72)(61, 66)(62, 70)(63, 69)(64, 68)(65, 67)(77, 80)(78, 79)(81, 96)(82, 100)(83, 99)(84, 98)(85, 97)(86, 91)(87, 95)(88, 94)(89, 93)(90, 92)(102, 105)(103, 104)(106, 121)(107, 125)(108, 124)(109, 123)(110, 122)(111, 116)(112, 120)(113, 119)(114, 118)(115, 117)
c: (1, 2)(3, 5)(6, 22)(7, 21)(8, 25)(9, 24)(10, 23)(11, 17)(12, 16)(13, 20)(14, 19)(15, 18)(26, 27)(28, 30)(31, 47)(32, 46)(33, 50)(34, 49)(35, 48)(36, 42)(37, 41)(38, 45)(39, 44)(40, 43)(51, 52)(53, 55)(56, 72)(57, 71)(58, 75)(59, 74)(60, 73)(61, 67)(62, 66)(63, 70)(64, 69)(65, 68)(76, 77)(78, 80)(81, 97)(82, 96)(83, 100)(84, 99)(85, 98)(86, 92)(87, 91)(88, 95)(89, 94)(90, 93)(101, 102)(103, 105)(106, 122)(107, 121)(108, 125)(109, 124)(110, 123)(111, 117)(112, 116)(113, 120)(114, 119)(115, 118)

(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[ 125, 6 ]
125
-1 46 112 31 120
-2 47 113 116 32
-3 33 48 114 117
-4 34 49 115 118
-5 111 35 50 119
-6 36 26 125 117
-7 121 37 27 118
-8 122 38 28 119
-9 123 39 29 120
-10 124 116 40 30
-11 122 105 41 31
-12 101 123 42 32
-13 33 102 124 43
-14 44 34 103 125
-15 121 45 35 104
-16 110 46 36 102
-17 47 37 103 106
-18 48 38 104 107
-19 49 39 105 108
-20 101 50 40 109
-21 26 115 41 107
-22 111 27 42 108
-23 112 28 43 109
-24 44 110 113 29
-25 45 114 106 30
-26 55 6 52 21
-27 22 7 51 53
-28 23 8 52 54
-29 55 24 9 53
-30 25 51 10 54
-31 11 1 57 60
-32 12 56 2 58
-33 13 57 3 59
-34 14 58 4 60
-35 56 15 59 5
-36 16 6 62 65
-37 17 61 7 63
-38 18 62 8 64
-39 19 63 9 65
-40 61 20 64 10
-41 11 67 70 21
-42 22 66 12 68
-43 23 67 13 69
-44 24 68 14 70
-45 66 25 69 15
-46 1 16 72 75
-47 2 71 17 73
-48 3 72 18 74
-49 4 73 19 75
-50 5 71 74 20
-51 99 27 83 30
-52 100 26 28 84
-53 27 29 85 96
-54 81 28 30 97
-55 26 82 29 98
-56 88 35 79 32
-57 33 89 80 31
-58 34 90 32 76
-59 33 77 35 86
-60 34 78 31 87
-61 37 93 40 84
-62 36 38 94 85
-63 37 81 39 95
-64 91 38 82 40
-65 36 92 39 83
-66 45 89 42 98
-67 99 90 41 43
-68 44 100 42 86
-69 45 96 43 87
-70 44 88 41 97
-71 78 47 50 94
-72 46 79 48 95
-73 47 80 91 49
-74 48 92 50 76
-75 77 46 49 93
-76 58 114 74 118
-77 59 115 75 119
-78 111 60 71 120
-79 56 112 72 116
-80 57 113 73 117
-81 123 63 119 54
-82 55 124 64 120
-83 125 116 51 65
-84 121 61 117 52
-85 122 62 118 53
-86 68 124 59 103
-87 69 125 60 104
-88 121 56 70 105
-89 66 122 57 101
-90 67 123 58 102
-91 104 73 64 108
-92 105 74 65 109
-93 110 101 61 75
-94 102 71 62 106
-95 103 72 63 107
-96 69 113 53 109
-97 110 70 114 54
-98 55 66 115 106
-99 67 111 51 107
-100 68 112 52 108
-101 12 89 93 20
-102 13 90 16 94
-103 14 17 95 86
-104 91 15 18 87
-105 11 88 92 19
-106 25 17 94 98
-107 99 18 95 21
-108 22 100 91 19
-109 23 92 96 20
-110 24 16 93 97
-111 22 99 78 5
-112 1 23 100 79
-113 2 24 80 96
-114 3 25 97 76
-115 77 4 21 98
-116 2 79 83 10
-117 3 80 6 84
-118 4 7 85 76
-119 77 81 5 8
-120 1 78 82 9
-121 88 15 7 84
-122 11 89 8 85
-123 12 90 81 9
-124 13 82 86 10
-125 14 6 83 87
0

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