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On this page are computer-accessible forms for the graph C4[ 15, 1 ] = C_15(1,4).

(I) Following is a form readable by MAGMA:

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

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

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