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On this page are computer-accessible forms for the graph C4[ 24, 1 ] = W(12,2).

(I) Following is a form readable by MAGMA:

g:=Graph<24|{ {2, 3}, {22, 23}, {20, 21}, {10, 11}, {8, 9}, {4, 5}, {6, 7}, {12, 13}, {14, 15}, {16, 17}, {18, 19}, {1, 2}, {21, 22}, {9, 10}, {5, 6}, {13, 14}, {17, 18}, {3, 4}, {11, 12}, {19, 20}, {4, 15}, {1, 12}, {2, 15}, {3, 14}, {1, 14}, {23, 24}, {2, 13}, {7, 8}, {3, 16}, {7, 20}, {11, 24}, {4, 17}, {7, 18}, {5, 16}, {6, 19}, {13, 24}, {5, 18}, {6, 17}, {1, 24}, {8, 19}, {12, 23}, {8, 21}, {9, 20}, {10, 23}, {11, 22}, {9, 22}, {10, 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: (11, 23)
b: (1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12)(13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24)
c: (12, 24)
d: (9, 21)
e: (6, 18)
f: (2, 12)(3, 11)(4, 10)(5, 9)(6, 8)(14, 24)(15, 23)(16, 22)(17, 21)(18, 20)
g: (4, 16)
h: (8, 20)
m: (3, 15)
n1: (7, 19)
a1: (2, 14)
b1: (10, 22)

(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[ 24, 1 ]
24
-1 12 2 24 14
-2 1 13 3 15
-3 2 14 4 16
-4 3 15 5 17
-5 4 16 6 18
-6 5 17 7 19
-7 6 18 8 20
-8 7 19 9 21
-9 22 8 20 10
-10 11 23 9 21
-11 22 12 24 10
-12 11 1 23 13
-13 12 2 24 14
-14 1 13 3 15
-15 2 14 4 16
-16 3 15 5 17
-17 4 16 6 18
-18 5 17 7 19
-19 6 18 8 20
-20 7 19 9 21
-21 22 8 20 10
-22 11 23 9 21
-23 22 12 24 10
-24 11 1 23 13
0

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