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

On this page are computer-accessible forms for the graph C4[ 12, 2 ] = R_6(5,4).

(I) Following is a form readable by MAGMA:

g:=Graph<12|{ {2, 3}, {4, 5}, {6, 7}, {8, 10}, {9, 11}, {1, 2}, {5, 6}, {8, 12}, {1, 7}, {10, 12}, {1, 6}, {3, 4}, {1, 8}, {3, 10}, {5, 12}, {2, 8}, {6, 12}, {3, 9}, {2, 9}, {7, 11}, {4, 10}, {7, 9}, {5, 11}, {4, 11} }>;

(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: (1, 2)(3, 6)(4, 5)(7, 9)(10, 12)
b: (2, 7)(3, 11)(5, 10)(6, 8)
c: (2, 6)(3, 5)(7, 8)(9, 12)(10, 11)

(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[ 12, 2 ]
12
-1 2 6 7 8
-2 1 3 8 9
-3 2 4 9 10
-4 11 3 5 10
-5 11 12 4 6
-6 1 12 5 7
-7 11 1 6 9
-8 1 12 2 10
-9 11 2 3 7
-10 12 3 4 8
-11 4 5 7 9
-12 5 6 8 10
0

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