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On this page are computer-accessible forms for the graph C4[ 108, 2 ] = DW(36,3).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {36, 37} under the group generated by the following permutations:

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

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

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