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On this page are computer-accessible forms for the graph C4[ 120, 18 ] = R_60(47,16).

(I) Following is a form readable by MAGMA:

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

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

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

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