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On this page are computer-accessible forms for the graph C4[ 135, 6 ] = AMC(15,3,[0.1:2.2]).

(I) Following is a form readable by MAGMA:

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

(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, 6 ]
135
-1 13 135 16 131
-2 132 133 14 17
-3 134 15 18 130
-4 134 16 129 10
-5 11 135 17 127
-6 12 133 18 128
-7 132 13 128 10
-8 11 14 129 130
-9 12 15 127 131
-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 5 9 119 120
-128 6 7 118 120
-129 4 8 118 119
-130 122 123 3 8
-131 121 1 123 9
-132 121 122 2 7
-133 2 125 126 6
-134 3 124 4 126
-135 1 124 125 5
0

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