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On this page are computer-accessible forms for the graph C4[ 12, 1 ] = W(6,2).

(I) Following is a form readable by MAGMA:

g:=Graph<12|{ {2, 3}, {10, 11}, {4, 5}, {6, 7}, {8, 9}, {1, 2}, {9, 10}, {5, 6}, {2, 7}, {1, 6}, {11, 12}, {3, 4}, {1, 8}, {5, 12}, {3, 10}, {2, 9}, {3, 8}, {7, 12}, {1, 12}, {4, 9}, {6, 11}, {4, 11}, {5, 10}, {7, 8} }>;

(II) A more general form is to represent the graph as the orbit of {2, 3} under the group generated by the following permutations:

a: (5, 11)
b: (4, 10)
c: (6, 12)
d: (3, 9)
e: (2, 6)(3, 5)(8, 12)(9, 11)
f: (1, 2)(3, 6)(4, 5)(7, 8)(9, 12)(10, 11)

(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[ 12, 1 ]
12
-1 12 2 6 8
-2 1 3 7 9
-3 2 4 8 10
-4 11 3 5 9
-5 12 4 6 10
-6 11 1 5 7
-7 12 2 6 8
-8 1 3 7 9
-9 2 4 8 10
-10 11 3 5 9
-11 12 4 6 10
-12 11 1 5 7
0

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