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On this page are computer-accessible forms for the graph C4[ 25, 2 ] = {4,4}_5,0.

(I) Following is a form readable by MAGMA:

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

(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, 5)(3, 4)(7, 10)(8, 9)(12, 15)(13, 14)(17, 20)(18, 19)(22, 25)(23, 24)
b: (2, 6)(3, 11)(4, 16)(5, 21)(8, 12)(9, 17)(10, 22)(14, 18)(15, 23)(20, 24)
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)

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

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