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On this page are computer-accessible forms for the graph C4[ 22, 1 ] = W(11,2).

(I) Following is a form readable by MAGMA:

g:=Graph<22|{ {2, 3}, {20, 21}, {18, 19}, {16, 17}, {14, 15}, {12, 13}, {6, 7}, {4, 5}, {8, 9}, {10, 11}, {1, 2}, {21, 22}, {17, 18}, {13, 14}, {5, 6}, {9, 10}, {3, 4}, {19, 20}, {11, 12}, {1, 11}, {5, 15}, {4, 14}, {1, 13}, {3, 15}, {2, 14}, {2, 12}, {3, 13}, {7, 8}, {4, 16}, {6, 18}, {5, 17}, {7, 19}, {6, 16}, {7, 17}, {1, 22}, {8, 18}, {12, 22}, {9, 19}, {8, 20}, {10, 22}, {9, 21}, {10, 20}, {11, 21}, {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: (8, 19)
b: (6, 17)
c: (11, 22)
d: (2, 11)(3, 10)(4, 9)(5, 8)(6, 7)(13, 22)(14, 21)(15, 20)(16, 19)(17, 18)
e: (7, 18)
f: (2, 13)
g: (1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11)(12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22)
h: (10, 21)
m: (3, 14)
n1: (4, 15)
a1: (9, 20)

(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[ 22, 1 ]
22
-1 11 22 2 13
-2 1 12 3 14
-3 2 13 4 15
-4 3 14 5 16
-5 4 15 6 17
-6 5 16 7 18
-7 6 17 8 19
-8 7 18 9 20
-9 8 19 10 21
-10 11 22 9 20
-11 1 12 10 21
-12 11 22 2 13
-13 1 12 3 14
-14 2 13 4 15
-15 3 14 5 16
-16 4 15 6 17
-17 5 16 7 18
-18 6 17 8 19
-19 7 18 9 20
-20 8 19 10 21
-21 11 22 9 20
-22 1 12 10 21
0

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