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

On this page are computer-accessible forms for the graph C4[ 32, 6 ] = SDD(K_4,4).

(I) Following is a form readable by MAGMA:

g:=Graph<32|{ {16, 23}, {16, 24}, {16, 31}, {1, 17}, {15, 31}, {13, 29}, {12, 28}, {7, 23}, {10, 27}, {15, 30}, {3, 17}, {9, 27}, {10, 24}, {1, 18}, {14, 29}, {13, 30}, {12, 31}, {6, 21}, {2, 17}, {8, 27}, {6, 18}, {8, 28}, {3, 22}, {7, 18}, {4, 17}, {2, 20}, {14, 24}, {11, 29}, {5, 19}, {5, 18}, {9, 30}, {11, 28}, {1, 25}, {15, 23}, {13, 21}, {12, 20}, {7, 31}, {10, 19}, {15, 22}, {3, 25}, {9, 19}, {1, 26}, {14, 21}, {13, 22}, {12, 23}, {6, 29}, {2, 25}, {8, 19}, {4, 24}, {6, 26}, {8, 20}, {3, 30}, {7, 26}, {4, 25}, {2, 28}, {5, 27}, {11, 21}, {5, 26}, {9, 22}, {11, 20}, {4, 32}, {10, 32}, {14, 32}, {16, 32} }>;

(II) A more general form is to represent the graph as the orbit of {16, 23} under the group generated by the following permutations:

(1, 2, 8, 5)(3, 11, 9, 6)(4, 12, 10, 7)(14, 15)(17, 20, 19, 18)(21, 22)(23, 24)(25, 28, 27, 26)(29, 30)(31, 32)
(17, 25)
(24, 32)
(2, 3)(8, 9)(11, 13)(12, 15)(20, 22)(28, 30)
(23, 31)
(2, 5)(3, 6)(4, 7)(9, 11)(10, 12)(14, 15)(17, 18)(19, 20)(21, 22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)
(18, 26)
(3, 4)(9, 10)(13, 14)(15, 16)(22, 24)(30, 32)
(6, 7)(11, 12)(13, 15)(14, 16)(21, 23)(29, 31)

(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[ 32, 6 ]
32
-1 25 26 17 18
-2 25 17 28 20
-3 22 25 17 30
-4 24 25 17 32
-5 26 27 18 19
-6 26 18 29 21
-7 23 26 18 31
-8 27 28 19 20
-9 22 27 19 30
-10 24 27 19 32
-11 28 29 20 21
-12 23 28 20 31
-13 22 29 30 21
-14 24 29 21 32
-15 22 23 30 31
-16 23 24 31 32
-17 1 2 3 4
-18 1 5 6 7
-19 5 8 9 10
-20 11 12 2 8
-21 11 13 14 6
-22 13 3 15 9
-23 12 15 16 7
-24 14 4 16 10
-25 1 2 3 4
-26 1 5 6 7
-27 5 8 9 10
-28 11 12 2 8
-29 11 13 14 6
-30 13 3 15 9
-31 12 15 16 7
-32 14 4 16 10
0

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