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On this page are computer-accessible forms for the graph C4[ 18, 2 ] = DW(6,3).

(I) Following is a form readable by MAGMA:

g:=Graph<18|{ {6, 7}, {12, 13}, {2, 7}, {10, 15}, {8, 13}, {8, 15}, {9, 14}, {1, 8}, {7, 14}, {3, 10}, {5, 12}, {2, 9}, {6, 13}, {3, 8}, {4, 15}, {1, 12}, {4, 9}, {3, 14}, {2, 15}, {6, 11}, {1, 14}, {2, 13}, {4, 11}, {5, 10}, {1, 18}, {3, 16}, {4, 17}, {7, 18}, {5, 16}, {5, 18}, {6, 17}, {9, 16}, {11, 18}, {10, 17}, {11, 16}, {12, 17} }>;

(II) A more general form is to represent the graph as the orbit of {6, 7} under the group generated by the following permutations:

a: (2, 10)(3, 13)(5, 7)(6, 16)(9, 17)(12, 14)
b: (2, 6)(3, 5)(8, 12)(9, 11)(14, 18)(15, 17)
c: (1, 2)(3, 6)(4, 5)(7, 8)(9, 12)(10, 11)(13, 14)(15, 18)(16, 17)

(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[ 18, 2 ]
18
-1 12 14 18 8
-2 13 15 7 9
-3 14 16 8 10
-4 11 15 17 9
-5 12 16 18 10
-6 11 13 17 7
-7 2 14 6 18
-8 1 13 3 15
-9 2 14 4 16
-10 3 15 5 17
-11 4 16 6 18
-12 1 13 5 17
-13 12 2 6 8
-14 1 3 7 9
-15 2 4 8 10
-16 11 3 5 9
-17 12 4 6 10
-18 11 1 5 7
0

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