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

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {4, 5} under the group generated by the following permutations:

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

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