[Home] [Table] [Glossary] [Families]

On this page are computer-accessible forms for the graph C4[ 16, 1 ] = W(8,2).

(I) Following is a form readable by MAGMA:

g:=Graph<16|{ {2, 3}, {14, 15}, {12, 13}, {10, 11}, {8, 9}, {4, 5}, {6, 7}, {1, 2}, {13, 14}, {9, 10}, {5, 6}, {3, 4}, {11, 12}, {8, 15}, {1, 8}, {7, 14}, {4, 13}, {3, 10}, {2, 11}, {5, 12}, {6, 15}, {1, 10}, {2, 9}, {5, 14}, {6, 13}, {3, 12}, {4, 11}, {7, 8}, {1, 16}, {7, 16}, {9, 16}, {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: (2, 8)(3, 7)(4, 6)(10, 16)(11, 15)(12, 14)
b: (1, 2, 3, 4, 5, 6, 7, 8)(9, 10, 11, 12, 13, 14, 15, 16)
c: (2, 10)
d: (8, 16)
e: (7, 15)
f: (4, 12)
g: (6, 14)
h: (5, 13)

(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.

**************

&Graph
C4[ 16, 1 ]
16
-1 2 16 8 10
-2 11 1 3 9
-3 12 2 4 10
-4 11 13 3 5
-5 12 14 4 6
-6 13 15 5 7
-7 14 16 6 8
-8 1 15 7 9
-9 2 16 8 10
-10 11 1 3 9
-11 12 2 4 10
-12 11 13 3 5
-13 12 14 4 6
-14 13 15 5 7
-15 14 16 6 8
-16 1 15 7 9
0

**************