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

On this page are computer-accessible forms for the graph C4[ 30, 4 ] = Pr_10(1,1,2,2).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {2, 3} under the group generated by the following permutations:

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

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