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

On this page are computer-accessible forms for the graph C4[ 18, 1 ] = W(9,2).

(I) Following is a form readable by MAGMA:

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

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

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