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On this page are computer-accessible forms for the graph C4[ 135, 2 ] = DW(45,3).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {90, 91} under the group generated by the following permutations:

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

(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.

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&Graph
C4[ 135, 2 ]
135
-1 90 47 135 92
-2 46 91 48 93
-3 47 92 49 94
-4 48 93 50 95
-5 49 94 51 96
-6 50 95 52 97
-7 51 96 53 98
-8 99 52 97 54
-9 55 100 53 98
-10 99 56 101 54
-11 55 100 57 102
-12 56 101 58 103
-13 57 102 59 104
-14 58 103 60 105
-15 59 104 61 106
-16 60 105 62 107
-17 61 106 63 108
-18 62 107 64 109
-19 110 63 108 65
-20 66 111 64 109
-21 110 67 112 65
-22 66 111 68 113
-23 67 112 69 114
-24 68 113 70 115
-25 69 114 71 116
-26 70 115 72 117
-27 71 116 73 118
-28 72 117 74 119
-29 73 118 75 120
-30 121 74 119 76
-31 77 122 75 120
-32 121 78 123 76
-33 77 122 79 124
-34 78 123 80 125
-35 79 124 81 126
-36 80 125 82 127
-37 81 126 83 128
-38 82 127 84 129
-39 83 128 85 130
-40 84 129 86 131
-41 132 85 130 87
-42 88 133 86 131
-43 132 89 134 87
-44 88 133 90 135
-45 89 46 134 91
-46 45 2 135 92
-47 1 3 91 93
-48 2 4 92 94
-49 3 5 93 95
-50 4 6 94 96
-51 5 7 95 97
-52 6 8 96 98
-53 99 7 9 97
-54 100 8 10 98
-55 11 99 101 9
-56 12 100 102 10
-57 11 13 101 103
-58 12 14 102 104
-59 13 15 103 105
-60 14 16 104 106
-61 15 17 105 107
-62 16 18 106 108
-63 17 19 107 109
-64 110 18 20 108
-65 111 19 21 109
-66 22 110 112 20
-67 23 111 113 21
-68 22 24 112 114
-69 23 25 113 115
-70 24 26 114 116
-71 25 27 115 117
-72 26 28 116 118
-73 27 29 117 119
-74 28 30 118 120
-75 121 29 31 119
-76 122 30 32 120
-77 33 121 123 31
-78 34 122 124 32
-79 33 35 123 125
-80 34 36 124 126
-81 35 37 125 127
-82 36 38 126 128
-83 37 39 127 129
-84 38 40 128 130
-85 39 41 129 131
-86 132 40 42 130
-87 133 41 43 131
-88 44 132 134 42
-89 45 133 135 43
-90 44 1 134 91
-91 45 2 90 47
-92 1 46 3 48
-93 2 47 4 49
-94 3 48 5 50
-95 4 49 6 51
-96 5 50 7 52
-97 6 51 8 53
-98 7 52 9 54
-99 55 8 53 10
-100 11 56 9 54
-101 55 12 57 10
-102 11 56 13 58
-103 12 57 14 59
-104 13 58 15 60
-105 14 59 16 61
-106 15 60 17 62
-107 16 61 18 63
-108 17 62 19 64
-109 18 63 20 65
-110 66 19 64 21
-111 22 67 20 65
-112 66 23 68 21
-113 22 67 24 69
-114 23 68 25 70
-115 24 69 26 71
-116 25 70 27 72
-117 26 71 28 73
-118 27 72 29 74
-119 28 73 30 75
-120 29 74 31 76
-121 77 30 75 32
-122 33 78 31 76
-123 77 34 79 32
-124 33 78 35 80
-125 34 79 36 81
-126 35 80 37 82
-127 36 81 38 83
-128 37 82 39 84
-129 38 83 40 85
-130 39 84 41 86
-131 40 85 42 87
-132 88 41 86 43
-133 44 89 42 87
-134 88 45 90 43
-135 44 1 89 46
0

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