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

(II) A more general form is to represent the graph as the orbit of {16, 17} under the group generated by the following permutations:

a: (5, 8)
b: (7, 9)(10, 12)(22, 25)(26, 29)(27, 30)(31, 32)
c: (4, 6)(13, 15)(19, 21)(24, 28)(27, 31)(30, 32)
d: (5, 7)(8, 10)(20, 22)(23, 26)(24, 27)(28, 31)
e: (2, 3)(11, 14)(17, 18)(20, 23)(22, 26)(25, 29)
f: (6, 15)
g: (2, 14)
h: (1, 2)(3, 5)(4, 7)(6, 9)(8, 11)(10, 13)(12, 15)(14, 16)(18, 20)(19, 22)(21, 25)(24, 26)(28, 29)(30, 31)
m: (9, 12)
n1: (3, 4)(11, 13)(18, 19)(23, 24)(26, 27)(29, 30)

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

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