C4graphGraph forms for C4 [ 10, 1 ] = W(5,2)

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On this page are computer-accessible forms for the graph C4[ 10, 1 ] = W(5,2).

(I) Following is a form readable by MAGMA:

g:=Graph<10|{ {2, 3}, {8, 9}, {4, 5}, {6, 7}, {1, 2}, {9, 10}, {5, 6}, {1, 5}, {3, 7}, {2, 6}, {1, 7}, {3, 4}, {2, 8}, {3, 9}, {1, 10}, {4, 8}, {5, 9}, {6, 10}, {4, 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: (5, 10)
b: (1, 2)(3, 5)(6, 7)(8, 10)
c: (2, 5)(3, 4)(7, 10)(8, 9)
d: (3, 8)
e: (4, 9)

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

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