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On this page are computer-accessible forms for the graph C4[ 117, 2 ] = DW(39,3).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {78, 79} under the group generated by the following permutations:

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

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

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