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

On this page are computer-accessible forms for the graph C4[ 36, 7 ] = SDD(DW(3,3)).

(I) Following is a form readable by MAGMA:

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

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

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

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

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