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On this page are computer-accessible forms for the graph C4[ 25, 1 ] = C_25(1,7).

(I) Following is a form readable by MAGMA:

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

(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, 8, 25, 19)(3, 15, 24, 12)(4, 22, 23, 5)(6, 11, 21, 16)(7, 18, 20, 9)(10, 14, 17, 13)
b: (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)

(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[ 25, 1 ]
25
-1 2 25 8 19
-2 1 3 9 20
-3 2 4 10 21
-4 11 22 3 5
-5 12 23 4 6
-6 13 24 5 7
-7 14 25 6 8
-8 1 15 7 9
-9 2 16 8 10
-10 11 3 17 9
-11 12 4 18 10
-12 11 13 5 19
-13 12 14 6 20
-14 13 15 7 21
-15 22 14 16 8
-16 23 15 17 9
-17 24 16 18 10
-18 11 25 17 19
-19 1 12 18 20
-20 2 13 19 21
-21 22 3 14 20
-22 23 4 15 21
-23 22 24 5 16
-24 23 25 6 17
-25 1 24 7 18
0

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