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On this page are computer-accessible forms for the graph C4[ 16, 2 ] = {4,4}_4,0.

(I) Following is a form readable by MAGMA:

g:=Graph<16|{ {2, 3}, {14, 15}, {10, 11}, {6, 7}, {1, 2}, {13, 14}, {5, 6}, {9, 10}, {1, 5}, {11, 15}, {10, 14}, {9, 13}, {3, 7}, {2, 6}, {8, 12}, {1, 4}, {9, 12}, {3, 4}, {11, 12}, {1, 13}, {5, 9}, {4, 8}, {3, 15}, {2, 14}, {6, 10}, {7, 11}, {5, 8}, {7, 8}, {4, 16}, {12, 16}, {13, 16}, {15, 16} }>;

(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, 4)(6, 8)(10, 12)(14, 16)
b: (5, 13)(6, 14)(7, 15)(8, 16)
c: (3, 6)(4, 5)(9, 16)(10, 15)
d: (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)

(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[ 16, 2 ]
16
-1 2 13 4 5
-2 1 3 14 6
-3 2 4 15 7
-4 1 3 16 8
-5 1 6 8 9
-6 2 5 7 10
-7 11 3 6 8
-8 12 4 5 7
-9 12 13 5 10
-10 11 14 6 9
-11 12 15 7 10
-12 11 16 8 9
-13 1 14 16 9
-14 2 13 15 10
-15 11 3 14 16
-16 12 13 4 15
0

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