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On this page are computer-accessible forms for the graph C4[ 26, 1 ] = W(13,2).

(I) Following is a form readable by MAGMA:

g:=Graph<26|{ {2, 3}, {24, 25}, {22, 23}, {20, 21}, {18, 19}, {10, 11}, {8, 9}, {4, 5}, {6, 7}, {12, 13}, {14, 15}, {16, 17}, {1, 2}, {25, 26}, {21, 22}, {9, 10}, {5, 6}, {13, 14}, {17, 18}, {3, 4}, {19, 20}, {11, 12}, {1, 13}, {2, 14}, {3, 15}, {1, 15}, {7, 8}, {23, 24}, {2, 16}, {7, 21}, {3, 17}, {6, 20}, {10, 24}, {11, 25}, {4, 16}, {7, 19}, {5, 17}, {6, 18}, {12, 24}, {13, 25}, {14, 26}, {4, 18}, {5, 19}, {12, 26}, {1, 26}, {8, 20}, {9, 21}, {10, 22}, {11, 23}, {8, 22}, {9, 23}, {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: (4, 17)
b: (7, 20)
c: (11, 24)
d: (8, 21)
e: (1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13)(14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26)
f: (2, 15)
g: (10, 23)
h: (13, 26)
m: (12, 25)
n1: (2, 13)(3, 12)(4, 11)(5, 10)(6, 9)(7, 8)(15, 26)(16, 25)(17, 24)(18, 23)(19, 22)(20, 21)
a1: (3, 16)
b1: (5, 18)
c1: (9, 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[ 26, 1 ]
26
-1 2 13 15 26
-2 1 3 14 16
-3 2 4 15 17
-4 3 5 16 18
-5 4 6 17 19
-6 5 7 18 20
-7 6 8 19 21
-8 22 7 9 20
-9 23 8 10 21
-10 11 22 24 9
-11 12 23 25 10
-12 11 13 24 26
-13 1 12 14 25
-14 2 13 15 26
-15 1 3 14 16
-16 2 4 15 17
-17 3 5 16 18
-18 4 6 17 19
-19 5 7 18 20
-20 6 8 19 21
-21 22 7 9 20
-22 23 8 10 21
-23 11 22 24 9
-24 12 23 25 10
-25 11 13 24 26
-26 1 12 14 25
0

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