C4graphGraph forms for C4 [ 13, 1 ] = C_13(1,5)

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On this page are computer-accessible forms for the graph C4[ 13, 1 ] = C_13(1,5).

(I) Following is a form readable by MAGMA:

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

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

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