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

On this page are computer-accessible forms for the graph C4[ 24, 5 ] = R_12(11,4).

(I) Following is a form readable by MAGMA:

g:=Graph<24|{ {2, 3}, {10, 11}, {8, 9}, {4, 5}, {6, 7}, {12, 13}, {1, 2}, {9, 10}, {5, 6}, {16, 20}, {17, 21}, {18, 22}, {19, 23}, {3, 4}, {11, 12}, {16, 24}, {1, 13}, {20, 24}, {2, 14}, {3, 15}, {1, 12}, {2, 15}, {1, 14}, {7, 8}, {3, 16}, {7, 20}, {11, 24}, {4, 16}, {7, 19}, {5, 17}, {6, 18}, {12, 24}, {4, 17}, {6, 19}, {5, 18}, {13, 21}, {14, 22}, {15, 23}, {8, 20}, {10, 22}, {9, 21}, {11, 23}, {13, 17}, {14, 18}, {15, 19}, {8, 21}, {10, 23}, {9, 22} }>;

(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, 12)(3, 11)(4, 10)(5, 9)(6, 8)(13, 14)(15, 24)(16, 23)(17, 22)(18, 21)(19, 20)
b: (1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12)(13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24)
c: (2, 13)(3, 17)(5, 16)(6, 20)(8, 19)(9, 23)(11, 22)(12, 14)(15, 21)(18, 24)

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

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