C4graphGraph forms for C4 [ 14, 1 ] = W(7,2)

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On this page are computer-accessible forms for the graph C4[ 14, 1 ] = W(7,2).

(I) Following is a form readable by MAGMA:

g:=Graph<14|{ {2, 3}, {12, 13}, {10, 11}, {8, 9}, {4, 5}, {6, 7}, {1, 2}, {13, 14}, {9, 10}, {5, 6}, {1, 7}, {8, 14}, {3, 4}, {11, 12}, {1, 9}, {5, 13}, {2, 10}, {3, 11}, {4, 12}, {6, 14}, {2, 8}, {3, 9}, {6, 12}, {7, 13}, {4, 10}, {5, 11}, {1, 14}, {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, 12)
b: (4, 11)
c: (2, 9)
d: (1, 2, 3, 4, 5, 6, 7)(8, 9, 10, 11, 12, 13, 14)
e: (7, 14)
f: (6, 13)
g: (2, 7)(3, 6)(4, 5)(9, 14)(10, 13)(11, 12)

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

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