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On this page are computer-accessible forms for the graph C4[ 20, 1 ] = W(10,2).

(I) Following is a form readable by MAGMA:

g:=Graph<20|{ {2, 3}, {18, 19}, {6, 7}, {4, 5}, {8, 9}, {10, 11}, {12, 13}, {14, 15}, {16, 17}, {1, 2}, {5, 6}, {9, 10}, {13, 14}, {17, 18}, {3, 4}, {19, 20}, {11, 12}, {2, 11}, {6, 15}, {4, 13}, {1, 10}, {4, 15}, {5, 14}, {1, 12}, {3, 14}, {2, 13}, {7, 8}, {3, 12}, {1, 20}, {7, 18}, {5, 16}, {6, 17}, {7, 16}, {8, 17}, {10, 19}, {8, 19}, {9, 18}, {9, 20}, {11, 20}, {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: (5, 15)
b: (1, 2, 3, 4, 5, 6, 7, 8, 9, 10)(11, 12, 13, 14, 15, 16, 17, 18, 19, 20)
c: (10, 20)
d: (2, 10)(3, 9)(4, 8)(5, 7)(12, 20)(13, 19)(14, 18)(15, 17)
e: (6, 16)
f: (7, 17)
g: (9, 19)
h: (3, 13)
m: (8, 18)
n1: (2, 12)

(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[ 20, 1 ]
20
-1 12 2 20 10
-2 11 1 13 3
-3 12 2 14 4
-4 13 3 15 5
-5 14 4 16 6
-6 15 5 17 7
-7 16 6 18 8
-8 17 7 19 9
-9 18 8 20 10
-10 11 1 19 9
-11 12 2 20 10
-12 11 1 13 3
-13 12 2 14 4
-14 13 3 15 5
-15 14 4 16 6
-16 15 5 17 7
-17 16 6 18 8
-18 17 7 19 9
-19 18 8 20 10
-20 11 1 19 9
0

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