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On this page are computer-accessible forms for the graph C4[ 136, 10 ] = R_68(36,35).

(I) Following is a form readable by MAGMA:

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

(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: (28, 95)(29, 63)(30, 131)(62, 129)(64, 97)(96, 130)
b: (24, 91)(25, 59)(26, 127)(58, 125)(60, 93)(92, 126)
c: (13, 80)(14, 115)(47, 114)(48, 81)
d: (26, 93)(27, 61)(28, 129)(60, 127)(62, 95)(94, 128)
e: (15, 82)(16, 117)(49, 116)(50, 83)
f: (25, 92)(26, 127)(59, 126)(60, 93)
g: (29, 96)(30, 131)(63, 130)(64, 97)
h: (11, 78)(12, 113)(45, 112)(46, 79)
m: (17, 84)(18, 119)(51, 118)(52, 85)
n1: (18, 85)(19, 53)(20, 121)(52, 119)(54, 87)(86, 120)
a1: (7, 74)(8, 109)(41, 108)(42, 75)
b1: (4, 71)(5, 39)(6, 107)(38, 105)(40, 73)(72, 106)
c1: (20, 87)(21, 55)(22, 123)(54, 121)(56, 89)(88, 122)
d1: (33, 100)(34, 135)(67, 134)(68, 101)
e1: (14, 81)(15, 49)(16, 117)(48, 115)(50, 83)(82, 116)
f1: (32, 99)(33, 67)(34, 135)(66, 133)(68, 101)(100, 134)
g1: (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)
h1: (10, 77)(11, 45)(12, 113)(44, 111)(46, 79)(78, 112)
m1: (12, 79)(13, 47)(14, 115)(46, 113)(48, 81)(80, 114)
n2: (27, 94)(28, 129)(61, 128)(62, 95)
a2: (19, 86)(20, 121)(53, 120)(54, 87)
b2: (9, 76)(10, 111)(43, 110)(44, 77)
c2: (30, 97)(31, 65)(32, 133)(64, 131)(66, 99)(98, 132)
d2: (6, 73)(7, 41)(8, 109)(40, 107)(42, 75)(74, 108)
e2: (5, 72)(6, 107)(39, 106)(40, 73)
f2: (23, 90)(24, 125)(57, 124)(58, 91)
g2: (22, 89)(23, 57)(24, 125)(56, 123)(58, 91)(90, 124)
h2: (21, 88)(22, 123)(55, 122)(56, 89)
m2: (8, 75)(9, 43)(10, 111)(42, 109)(44, 77)(76, 110)
n3: (16, 83)(17, 51)(18, 119)(50, 117)(52, 85)(84, 118)
a3: (31, 98)(32, 133)(65, 132)(66, 99)
b3: (2, 101)(3, 33)(4, 32)(5, 31)(6, 30)(7, 29)(8, 28)(9, 27)(10, 26)(11, 25)(12, 24)(13, 23)(14, 22)(15, 21)(16, 20)(17, 19)(34, 103)(36, 135)(37, 67)(38, 66)(39, 65)(40, 64)(41, 63)(42, 62)(43, 61)(44, 60)(45, 59)(46, 58)(47, 57)(48, 56)(49, 55)(50, 54)(51, 53)(68, 69)(70, 134)(71, 133)(72, 132)(73, 131)(74, 130)(75, 129)(76, 128)(77, 127)(78, 126)(79, 125)(80, 124)(81, 123)(82, 122)(83, 121)(84, 120)(85, 119)(86, 118)(87, 117)(88, 116)(89, 115)(90, 114)(91, 113)(92, 112)(93, 111)(94, 110)(95, 109)(96, 108)(97, 107)(98, 106)(99, 105)(100, 104)(102, 136)

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

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