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On this page are computer-accessible forms for the graph C4[ 120, 8 ] = {4,4}_[10,6].

(I) Following is a form readable by MAGMA:

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

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

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