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

On this page are computer-accessible forms for the graph C4[ 144, 4 ] = DW(48,3).

(I) Following is a form readable by MAGMA:

g:=Graph<144|{ {48, 49}, {96, 97}, {16, 63}, {64, 111}, {80, 127}, {2, 51}, {3, 50}, {4, 53}, {5, 52}, {6, 55}, {7, 54}, {8, 57}, {9, 56}, {10, 59}, {11, 58}, {12, 61}, {13, 60}, {14, 63}, {15, 62}, {64, 113}, {65, 112}, {66, 115}, {67, 114}, {68, 117}, {69, 116}, {70, 119}, {71, 118}, {72, 121}, {73, 120}, {74, 123}, {75, 122}, {76, 125}, {77, 124}, {78, 127}, {79, 126}, {1, 50}, {2, 49}, {5, 54}, {6, 53}, {9, 58}, {10, 57}, {13, 62}, {14, 61}, {65, 114}, {66, 113}, {69, 118}, {70, 117}, {73, 122}, {74, 121}, {77, 126}, {78, 125}, {3, 52}, {4, 51}, {11, 60}, {12, 59}, {67, 116}, {68, 115}, {75, 124}, {76, 123}, {7, 56}, {8, 55}, {71, 120}, {72, 119}, {15, 64}, {31, 80}, {47, 96}, {63, 112}, {16, 65}, {31, 78}, {30, 79}, {29, 76}, {28, 77}, {27, 74}, {26, 75}, {25, 72}, {24, 73}, {17, 64}, {18, 67}, {19, 66}, {20, 69}, {21, 68}, {22, 71}, {23, 70}, {48, 97}, {50, 99}, {51, 98}, {52, 101}, {53, 100}, {54, 103}, {55, 102}, {56, 105}, {57, 104}, {58, 107}, {59, 106}, {60, 109}, {61, 108}, {62, 111}, {63, 110}, {17, 66}, {30, 77}, {29, 78}, {26, 73}, {25, 74}, {18, 65}, {21, 70}, {22, 69}, {49, 98}, {50, 97}, {53, 102}, {54, 101}, {57, 106}, {58, 105}, {61, 110}, {62, 109}, {19, 68}, {28, 75}, {27, 76}, {20, 67}, {51, 100}, {52, 99}, {59, 108}, {60, 107}, {23, 72}, {32, 127}, {24, 71}, {55, 104}, {56, 103}, {1, 96}, {31, 126}, {30, 127}, {29, 124}, {28, 125}, {27, 122}, {26, 123}, {25, 120}, {24, 121}, {23, 118}, {2, 99}, {3, 98}, {4, 101}, {5, 100}, {6, 103}, {7, 102}, {8, 105}, {9, 104}, {10, 107}, {11, 106}, {12, 109}, {13, 108}, {14, 111}, {15, 110}, {16, 113}, {17, 112}, {18, 115}, {19, 114}, {20, 117}, {21, 116}, {22, 119}, {1, 98}, {30, 125}, {29, 126}, {26, 121}, {25, 122}, {2, 97}, {5, 102}, {6, 101}, {9, 106}, {10, 105}, {13, 110}, {14, 109}, {17, 114}, {18, 113}, {21, 118}, {22, 117}, {3, 100}, {28, 123}, {27, 124}, {4, 99}, {11, 108}, {12, 107}, {19, 116}, {20, 115}, {7, 104}, {32, 79}, {24, 119}, {23, 120}, {8, 103}, {48, 95}, {32, 81}, {39, 86}, {38, 87}, {37, 84}, {36, 85}, {35, 82}, {34, 83}, {33, 80}, {40, 89}, {41, 88}, {42, 91}, {43, 90}, {44, 93}, {45, 92}, {46, 95}, {47, 94}, {33, 82}, {38, 85}, {37, 86}, {34, 81}, {41, 90}, {42, 89}, {45, 94}, {46, 93}, {35, 84}, {36, 83}, {43, 92}, {44, 91}, {15, 112}, {16, 111}, {39, 88}, {40, 87}, {1, 144}, {31, 128}, {32, 129}, {38, 135}, {37, 132}, {36, 133}, {35, 130}, {34, 131}, {33, 128}, {39, 134}, {40, 137}, {41, 136}, {42, 139}, {43, 138}, {44, 141}, {45, 140}, {46, 143}, {47, 142}, {49, 144}, {33, 130}, {38, 133}, {37, 134}, {34, 129}, {41, 138}, {42, 137}, {45, 142}, {46, 141}, {35, 132}, {36, 131}, {43, 140}, {44, 139}, {39, 136}, {40, 135}, {47, 144}, {48, 143}, {79, 128}, {95, 144}, {80, 129}, {95, 142}, {94, 143}, {93, 140}, {92, 141}, {91, 138}, {90, 139}, {89, 136}, {88, 137}, {87, 134}, {86, 135}, {85, 132}, {84, 133}, {83, 130}, {82, 131}, {81, 128}, {81, 130}, {94, 141}, {93, 142}, {90, 137}, {89, 138}, {86, 133}, {85, 134}, {82, 129}, {83, 132}, {92, 139}, {91, 140}, {84, 131}, {87, 136}, {88, 135}, {96, 143} }>;

(II) A more general form is to represent the graph as the orbit of {48, 49} under the group generated by the following permutations:

a: (2, 48)(3, 47)(4, 46)(5, 45)(6, 44)(7, 43)(8, 42)(9, 41)(10, 40)(11, 39)(12, 38)(13, 37)(14, 36)(15, 35)(16, 34)(17, 33)(18, 32)(19, 31)(20, 30)(21, 29)(22, 28)(23, 27)(24, 26)(50, 96)(51, 95)(52, 94)(53, 93)(54, 92)(55, 91)(56, 90)(57, 89)(58, 88)(59, 87)(60, 86)(61, 85)(62, 84)(63, 83)(64, 82)(65, 81)(66, 80)(67, 79)(68, 78)(69, 77)(70, 76)(71, 75)(72, 74)(98, 144)(99, 143)(100, 142)(101, 141)(102, 140)(103, 139)(104, 138)(105, 137)(106, 136)(107, 135)(108, 134)(109, 133)(110, 132)(111, 131)(112, 130)(113, 129)(114, 128)(115, 127)(116, 126)(117, 125)(118, 124)(119, 123)(120, 122)
b: (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)
c: (49, 97)(50, 98)(51, 99)(52, 100)(53, 101)(54, 102)(55, 103)(56, 104)(57, 105)(58, 106)(59, 107)(60, 108)(61, 109)(62, 110)(63, 111)(64, 112)(65, 113)(66, 114)(67, 115)(68, 116)(69, 117)(70, 118)(71, 119)(72, 120)(73, 121)(74, 122)(75, 123)(76, 124)(77, 125)(78, 126)(79, 127)(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)(96, 144)
d: (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)

(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[ 144, 4 ]
144
-1 144 50 96 98
-2 99 49 51 97
-3 100 50 52 98
-4 99 101 51 53
-5 100 102 52 54
-6 55 101 103 53
-7 56 102 104 54
-8 55 57 103 105
-9 56 58 104 106
-10 57 59 105 107
-11 58 60 106 108
-12 59 61 107 109
-13 110 60 62 108
-14 111 61 63 109
-15 110 112 62 64
-16 111 113 63 65
-17 66 112 114 64
-18 67 113 115 65
-19 66 68 114 116
-20 67 69 115 117
-21 68 70 116 118
-22 69 71 117 119
-23 70 72 118 120
-24 121 71 73 119
-25 122 72 74 120
-26 121 123 73 75
-27 122 124 74 76
-28 77 123 125 75
-29 78 124 126 76
-30 77 79 125 127
-31 78 80 126 128
-32 79 81 127 129
-33 80 82 128 130
-34 81 83 129 131
-35 132 82 84 130
-36 133 83 85 131
-37 132 134 84 86
-38 133 135 85 87
-39 88 134 136 86
-40 89 135 137 87
-41 88 90 136 138
-42 89 91 137 139
-43 90 92 138 140
-44 91 93 139 141
-45 92 94 140 142
-46 143 93 95 141
-47 144 94 96 142
-48 143 49 95 97
-49 144 2 48 98
-50 99 1 3 97
-51 100 2 4 98
-52 99 101 3 5
-53 100 102 4 6
-54 101 103 5 7
-55 102 104 6 8
-56 103 105 7 9
-57 104 106 8 10
-58 11 105 107 9
-59 12 106 108 10
-60 11 13 107 109
-61 110 12 14 108
-62 111 13 15 109
-63 110 112 14 16
-64 111 113 15 17
-65 112 114 16 18
-66 113 115 17 19
-67 114 116 18 20
-68 115 117 19 21
-69 22 116 118 20
-70 23 117 119 21
-71 22 24 118 120
-72 121 23 25 119
-73 122 24 26 120
-74 121 123 25 27
-75 122 124 26 28
-76 123 125 27 29
-77 124 126 28 30
-78 125 127 29 31
-79 126 128 30 32
-80 33 127 129 31
-81 34 128 130 32
-82 33 35 129 131
-83 132 34 36 130
-84 133 35 37 131
-85 132 134 36 38
-86 133 135 37 39
-87 134 136 38 40
-88 135 137 39 41
-89 136 138 40 42
-90 137 139 41 43
-91 44 138 140 42
-92 45 139 141 43
-93 44 46 140 142
-94 143 45 47 141
-95 144 46 48 142
-96 143 1 47 97
-97 2 48 50 96
-98 1 3 49 51
-99 2 4 50 52
-100 3 5 51 53
-101 4 6 52 54
-102 55 5 7 53
-103 56 6 8 54
-104 55 57 7 9
-105 56 58 8 10
-106 11 57 59 9
-107 12 58 60 10
-108 11 13 59 61
-109 12 14 60 62
-110 13 15 61 63
-111 14 16 62 64
-112 15 17 63 65
-113 66 16 18 64
-114 67 17 19 65
-115 66 68 18 20
-116 67 69 19 21
-117 22 68 70 20
-118 23 69 71 21
-119 22 24 70 72
-120 23 25 71 73
-121 24 26 72 74
-122 25 27 73 75
-123 26 28 74 76
-124 77 27 29 75
-125 78 28 30 76
-126 77 79 29 31
-127 78 80 30 32
-128 33 79 81 31
-129 34 80 82 32
-130 33 35 81 83
-131 34 36 82 84
-132 35 37 83 85
-133 36 38 84 86
-134 37 39 85 87
-135 88 38 40 86
-136 89 39 41 87
-137 88 90 40 42
-138 89 91 41 43
-139 44 90 92 42
-140 45 91 93 43
-141 44 46 92 94
-142 45 47 93 95
-143 46 48 94 96
-144 1 47 49 95
0

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