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On this page are computer-accessible forms for the graph C4[ 20, 3 ] = R_10(4, 1).

(I) Following is a form readable by MAGMA:

g:=Graph<20|{ {2, 3}, {18, 19}, {6, 7}, {4, 5}, {8, 9}, {12, 13}, {14, 15}, {16, 17}, {1, 2}, {5, 6}, {9, 10}, {13, 14}, {17, 18}, {8, 14}, {9, 15}, {3, 4}, {19, 20}, {11, 12}, {1, 11}, {7, 13}, {6, 12}, {5, 15}, {4, 14}, {1, 10}, {2, 12}, {3, 13}, {5, 11}, {7, 8}, {1, 17}, {2, 18}, {3, 19}, {4, 20}, {6, 16}, {7, 17}, {8, 18}, {9, 19}, {10, 16}, {10, 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:

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

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

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