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On this page are computer-accessible forms for the graph C4[ 30, 5 ] = Pr_10(1,4,3,2).

(I) Following is a form readable by MAGMA:

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

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&Graph
C4[ 30, 5 ]
30
-1 11 2 17 10
-2 1 12 3 18
-3 2 13 4 19
-4 3 14 5 20
-5 11 4 15 6
-6 12 5 16 7
-7 13 6 17 8
-8 14 7 18 9
-9 15 8 19 10
-10 1 16 9 20
-11 1 24 5 21
-12 22 2 25 6
-13 23 3 26 7
-14 24 4 27 8
-15 25 5 28 9
-16 26 6 29 10
-17 1 27 7 30
-18 2 28 8 21
-19 22 3 29 9
-20 23 4 30 10
-21 11 23 18 29
-22 12 24 19 30
-23 13 25 20 21
-24 11 22 14 26
-25 12 23 15 27
-26 13 24 16 28
-27 14 25 17 29
-28 15 26 18 30
-29 16 27 19 21
-30 22 17 28 20
0

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