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On this page are computer-accessible forms for the graph C4[ 90, 3 ] = DW(30,3).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {30, 31} under the group generated by the following permutations:

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

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

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