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On this page are computer-accessible forms for the graph C4[ 63, 2 ] = DW(21,3).

(I) Following is a form readable by MAGMA:

g:=Graph<63|{ {42, 43}, {21, 22}, {2, 22}, {42, 62}, {41, 61}, {40, 60}, {35, 55}, {34, 54}, {33, 53}, {32, 52}, {3, 23}, {8, 28}, {9, 29}, {10, 30}, {11, 31}, {1, 23}, {41, 63}, {40, 62}, {33, 55}, {32, 54}, {8, 30}, {9, 31}, {2, 24}, {39, 61}, {38, 60}, {35, 57}, {34, 56}, {3, 25}, {6, 28}, {7, 29}, {4, 24}, {39, 59}, {38, 58}, {37, 57}, {36, 56}, {5, 25}, {6, 26}, {7, 27}, {4, 26}, {37, 59}, {36, 58}, {5, 27}, {2, 43}, {16, 57}, {4, 45}, {6, 47}, {18, 59}, {20, 61}, {22, 63}, {10, 32}, {31, 53}, {30, 52}, {15, 37}, {14, 36}, {11, 33}, {26, 48}, {27, 49}, {1, 42}, {4, 47}, {5, 46}, {16, 59}, {17, 58}, {20, 63}, {21, 62}, {12, 32}, {31, 51}, {30, 50}, {29, 49}, {15, 35}, {14, 34}, {13, 33}, {28, 48}, {1, 44}, {3, 46}, {17, 60}, {19, 62}, {12, 34}, {29, 51}, {13, 35}, {28, 50}, {2, 45}, {3, 44}, {18, 61}, {19, 60}, {16, 36}, {17, 37}, {18, 38}, {19, 39}, {24, 44}, {25, 45}, {26, 46}, {27, 47}, {5, 48}, {15, 58}, {13, 56}, {7, 50}, {16, 38}, {17, 39}, {24, 46}, {25, 47}, {6, 49}, {15, 56}, {14, 57}, {7, 48}, {8, 49}, {14, 55}, {12, 53}, {10, 51}, {18, 40}, {19, 41}, {22, 44}, {23, 45}, {8, 51}, {13, 54}, {12, 55}, {9, 50}, {20, 40}, {21, 41}, {23, 43}, {9, 52}, {11, 54}, {1, 63}, {20, 42}, {21, 43}, {10, 53}, {11, 52} }>;

(II) A more general form is to represent the graph as the orbit of {42, 43} under the group generated by the following permutations:

a: (22, 43)(23, 44)(24, 45)(25, 46)(26, 47)(27, 48)(28, 49)(29, 50)(30, 51)(31, 52)(32, 53)(33, 54)(34, 55)(35, 56)(36, 57)(37, 58)(38, 59)(39, 60)(40, 61)(41, 62)(42, 63)
b: (2, 21)(3, 20)(4, 19)(5, 18)(6, 17)(7, 16)(8, 15)(9, 14)(10, 13)(11, 12)(23, 42)(24, 41)(25, 40)(26, 39)(27, 38)(28, 37)(29, 36)(30, 35)(31, 34)(32, 33)(44, 63)(45, 62)(46, 61)(47, 60)(48, 59)(49, 58)(50, 57)(51, 56)(52, 55)(53, 54)
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)
d: (1, 22)(2, 23)(3, 24)(4, 25)(5, 26)(6, 27)(7, 28)(8, 29)(9, 30)(10, 31)(11, 32)(12, 33)(13, 34)(14, 35)(15, 36)(16, 37)(17, 38)(18, 39)(19, 40)(20, 41)(21, 42)

(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[ 63, 2 ]
63
-1 44 23 63 42
-2 22 45 24 43
-3 44 23 46 25
-4 45 24 47 26
-5 46 25 48 27
-6 47 26 49 28
-7 48 27 50 29
-8 49 28 51 30
-9 50 29 52 31
-10 51 30 53 32
-11 33 52 31 54
-12 55 34 53 32
-13 33 56 35 54
-14 55 34 57 36
-15 56 35 58 37
-16 57 36 59 38
-17 58 37 60 39
-18 59 38 61 40
-19 60 39 62 41
-20 61 40 63 42
-21 22 62 41 43
-22 44 2 63 21
-23 1 45 3 43
-24 44 2 46 4
-25 45 3 47 5
-26 46 4 48 6
-27 47 5 49 7
-28 48 6 50 8
-29 49 7 51 9
-30 50 8 52 10
-31 11 51 9 53
-32 12 52 10 54
-33 11 55 13 53
-34 12 56 14 54
-35 55 13 57 15
-36 56 14 58 16
-37 57 15 59 17
-38 58 16 60 18
-39 59 17 61 19
-40 60 18 62 20
-41 61 19 63 21
-42 1 62 20 43
-43 23 2 42 21
-44 22 1 24 3
-45 23 2 25 4
-46 24 3 26 5
-47 25 4 27 6
-48 26 5 28 7
-49 27 6 29 8
-50 28 7 30 9
-51 29 8 31 10
-52 11 30 9 32
-53 33 12 31 10
-54 11 34 13 32
-55 33 12 35 14
-56 34 13 36 15
-57 35 14 37 16
-58 36 15 38 17
-59 37 16 39 18
-60 38 17 40 19
-61 39 18 41 20
-62 40 19 42 21
-63 22 1 41 20
0

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