[Home] [Table] [Glossary]
[Families]
On this page are computer-accessible forms for the graph C4[ 20, 2 ] =
{4,4}_4,2.
(I) Following is a form readable by MAGMA:
g:=Graph<20|{ {2, 3}, {8, 9}, {6, 7}, {4, 5}, {12, 13}, {14, 15}, {16, 17}, {18,
19}, {1, 2}, {5, 6}, {9, 10}, {13, 14}, {17, 18}, {8, 12}, {9, 13}, {10, 14},
{3, 4}, {19, 20}, {11, 12}, {1, 11}, {4, 14}, {5, 15}, {1, 10}, {7, 11}, {1,
15}, {2, 12}, {3, 13}, {7, 8}, {2, 16}, {6, 20}, {3, 17}, {4, 18}, {7, 17}, {6,
16}, {5, 19}, {8, 18}, {9, 19}, {10, 20}, {11, 20}, {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: (1, 2, 3, 4, 5, 6, 7, 8, 9, 10)(11, 12, 13, 14, 15, 16, 17, 18, 19, 20) (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 **************
b: (2, 15, 10, 11)(3, 5, 9, 7)(4, 19, 8, 17)(6, 13)(12, 16, 14, 20)
C4[ 20, 2 ]
20
-1 11 2 15 10
-2 1 12 3 16
-3 2 13 4 17
-4 3 14 5 18
-5 4 15 6 19
-6 5 16 7 20
-7 11 6 17 8
-8 12 7 18 9
-9 13 8 19 10
-10 1 14 9 20
-11 1 12 7 20
-12 11 2 13 8
-13 12 3 14 9
-14 13 4 15 10
-15 1 14 5 16
-16 2 15 6 17
-17 3 16 7 18
-18 4 17 8 19
-19 5 18 9 20
-20 11 6 19 10
0