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

On this page are computer-accessible forms for the graph C4[ 40, 12 ] = SDD(C_10(1,3)).

(I) Following is a form readable by MAGMA:

g:=Graph<40|{ {18, 27}, {20, 29}, {16, 26}, {20, 30}, {17, 27}, {18, 30}, {16, 29}, {17, 28}, {19, 29}, {19, 28}, {6, 22}, {8, 24}, {4, 21}, {7, 22}, {5, 23}, {11, 25}, {14, 28}, {5, 22}, {11, 24}, {9, 26}, {1, 21}, {10, 30}, {12, 24}, {13, 25}, {15, 27}, {15, 26}, {3, 21}, {1, 22}, {2, 21}, {12, 27}, {13, 26}, {14, 25}, {2, 24}, {7, 29}, {4, 30}, {4, 31}, {3, 31}, {2, 31}, {10, 23}, {1, 31}, {9, 23}, {3, 28}, {8, 23}, {6, 25}, {2, 34}, {7, 39}, {1, 32}, {10, 40}, {5, 33}, {3, 38}, {6, 35}, {5, 32}, {6, 32}, {7, 32}, {9, 33}, {11, 35}, {14, 38}, {8, 33}, {11, 34}, {12, 37}, {13, 36}, {8, 34}, {15, 37}, {10, 33}, {15, 36}, {4, 40}, {9, 36}, {14, 35}, {12, 34}, {13, 35}, {20, 39}, {16, 36}, {19, 39}, {17, 37}, {19, 38}, {16, 39}, {18, 37}, {17, 38}, {18, 40}, {20, 40} }>;

(II) A more general form is to represent the graph as the orbit of {18, 27} under the group generated by the following permutations:

a: (26, 36)
b: (2, 5)(3, 7)(4, 6)(9, 12)(10, 11)(13, 18)(14, 20)(16, 17)(21, 22)(23, 24)(25, 30)(26, 27)(28, 29)(31, 32)(33, 34)(35, 40)(36, 37)(38, 39)
c: (30, 40)
d: (27, 37)
e: (21, 31)
f: (29, 39)
g: (25, 35)
h: (2, 4)(6, 7)(8, 10)(11, 20)(12, 18)(13, 16)(14, 19)(24, 30)(25, 29)(34, 40)(35, 39)
m: (1, 2, 8, 5)(3, 12, 9, 7)(4, 11, 10, 6)(13, 20, 14, 18)(15, 16, 19, 17)(21, 24, 23, 22)(25, 30)(26, 29, 28, 27)(31, 34, 33, 32)(35, 40)(36, 39, 38, 37)
n1: (22, 32)
a1: (28, 38)

(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[ 40, 12 ]
40
-1 22 31 21 32
-2 34 24 31 21
-3 38 28 31 21
-4 40 30 31 21
-5 22 33 23 32
-6 22 35 25 32
-7 22 39 29 32
-8 33 23 34 24
-9 33 23 36 26
-10 33 23 40 30
-11 34 24 35 25
-12 34 24 37 27
-13 35 25 36 26
-14 35 25 38 28
-15 36 26 37 27
-16 36 26 39 29
-17 37 27 38 28
-18 37 27 40 30
-19 38 28 39 29
-20 39 29 40 30
-21 1 2 3 4
-22 1 5 6 7
-23 5 8 9 10
-24 11 12 2 8
-25 11 13 14 6
-26 13 15 16 9
-27 12 15 17 18
-28 3 14 17 19
-29 16 7 19 20
-30 4 18 20 10
-31 1 2 3 4
-32 1 5 6 7
-33 5 8 9 10
-34 11 12 2 8
-35 11 13 14 6
-36 13 15 16 9
-37 12 15 17 18
-38 3 14 17 19
-39 16 7 19 20
-40 4 18 20 10
0

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