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On this page are computer-accessible forms for the graph C4[ 28, 1 ] = W(14,2).

(I) Following is a form readable by MAGMA:

g:=Graph<28|{ {2, 3}, {26, 27}, {12, 13}, {10, 11}, {4, 5}, {6, 7}, {8, 9}, {14, 15}, {16, 17}, {18, 19}, {20, 21}, {22, 23}, {24, 25}, {1, 2}, {25, 26}, {9, 10}, {5, 6}, {13, 14}, {17, 18}, {21, 22}, {3, 4}, {27, 28}, {11, 12}, {19, 20}, {2, 15}, {1, 14}, {7, 8}, {23, 24}, {1, 16}, {11, 26}, {9, 24}, {3, 18}, {5, 20}, {7, 22}, {13, 28}, {2, 17}, {11, 24}, {10, 25}, {3, 16}, {6, 21}, {7, 20}, {15, 28}, {4, 17}, {12, 25}, {6, 19}, {14, 27}, {4, 19}, {5, 18}, {12, 27}, {13, 26}, {1, 28}, {10, 23}, {8, 21}, {8, 23}, {9, 22}, {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: (14, 28)
b: (12, 26)
c: (11, 25)
d: (8, 22)
e: (7, 21)
f: (3, 17)
g: (2, 16)
h: (10, 24)
m: (5, 19)
n1: (9, 23)
a1: (13, 27)
b1: (4, 18)
c1: (2, 14)(3, 13)(4, 12)(5, 11)(6, 10)(7, 9)(16, 28)(17, 27)(18, 26)(19, 25)(20, 24)(21, 23)
d1: (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, 27, 28)

(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[ 28, 1 ]
28
-1 2 14 16 28
-2 1 3 15 17
-3 2 4 16 18
-4 3 5 17 19
-5 4 6 18 20
-6 5 7 19 21
-7 22 6 8 20
-8 23 7 9 21
-9 22 24 8 10
-10 11 23 25 9
-11 12 24 26 10
-12 11 13 25 27
-13 12 14 26 28
-14 1 13 15 27
-15 2 14 16 28
-16 1 3 15 17
-17 2 4 16 18
-18 3 5 17 19
-19 4 6 18 20
-20 5 7 19 21
-21 22 6 8 20
-22 23 7 9 21
-23 22 24 8 10
-24 11 23 25 9
-25 12 24 26 10
-26 11 13 25 27
-27 12 14 26 28
-28 1 13 15 27
0

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