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On this page are computer-accessible forms for the graph C4[ 15, 2 ] = Pr_5(1,1,2,2).

(I) Following is a form readable by MAGMA:

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

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

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

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