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

On this page are computer-accessible forms for the graph C4[ 28, 3 ] = BC_14(0,1,4,6).

(I) Following is a form readable by MAGMA:

g:=Graph<28|{ {14, 15}, {11, 15}, {9, 15}, {1, 15}, {1, 16}, {13, 28}, {11, 26}, {5, 20}, {3, 18}, {7, 22}, {9, 24}, {1, 19}, {14, 28}, {11, 25}, {10, 24}, {6, 20}, {5, 23}, {4, 22}, {3, 17}, {2, 16}, {7, 21}, {8, 26}, {9, 27}, {2, 17}, {10, 25}, {6, 21}, {1, 21}, {3, 23}, {2, 22}, {8, 28}, {2, 20}, {13, 27}, {12, 26}, {10, 28}, {5, 19}, {4, 18}, {3, 21}, {4, 19}, {12, 27}, {10, 16}, {14, 20}, {11, 17}, {4, 24}, {14, 18}, {13, 17}, {12, 16}, {5, 25}, {6, 26}, {7, 27}, {6, 24}, {13, 19}, {12, 18}, {7, 25}, {8, 22}, {9, 23}, {8, 23} }>;

(II) A more general form is to represent the graph as the orbit of {14, 15} under the group generated by the following permutations:

a: (2, 3, 14)(4, 5, 13)(6, 11, 12)(7, 9, 10)(15, 16, 21)(17, 18, 20)(22, 23, 28)(24, 25, 27)
b: (1, 2)(4, 14)(6, 13)(7, 11)(8, 9)(15, 22)(17, 21)(19, 20)(24, 28)(26, 27)
c: (3, 5)(4, 7)(6, 13)(10, 12)(11, 14)(17, 20)(18, 25)(19, 21)(24, 27)(26, 28)
d: (1, 15, 9, 23, 8, 22, 2, 16)(3, 26, 7, 17, 12, 21, 11, 27)(4, 20, 10, 19, 14, 24, 5, 28)(6, 25, 13, 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[ 28, 3 ]
28
-1 15 16 19 21
-2 22 16 17 20
-3 23 17 18 21
-4 22 24 18 19
-5 23 25 19 20
-6 24 26 20 21
-7 22 25 27 21
-8 22 23 26 28
-9 23 24 15 27
-10 24 25 16 28
-11 25 15 26 17
-12 26 16 27 18
-13 27 17 28 19
-14 15 28 18 20
-15 11 1 14 9
-16 1 12 2 10
-17 11 2 13 3
-18 12 3 14 4
-19 1 13 4 5
-20 2 14 5 6
-21 1 3 6 7
-22 2 4 7 8
-23 3 5 8 9
-24 4 6 9 10
-25 11 5 7 10
-26 11 12 6 8
-27 12 13 7 9
-28 13 14 8 10
0

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