C4graphGraph forms for C4 [ 26, 2 ] = C_26(1,5)

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On this page are computer-accessible forms for the graph C4[ 26, 2 ] = C_26(1,5).

(I) Following is a form readable by MAGMA:

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

(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[ 26, 2 ]
26
-1 22 2 26 6
-2 1 23 3 7
-3 2 24 4 8
-4 3 25 5 9
-5 4 26 6 10
-6 11 1 5 7
-7 12 2 6 8
-8 13 3 7 9
-9 14 4 8 10
-10 11 15 5 9
-11 12 16 6 10
-12 11 13 17 7
-13 12 14 18 8
-14 13 15 19 9
-15 14 16 20 10
-16 11 15 17 21
-17 22 12 16 18
-18 23 13 17 19
-19 24 14 18 20
-20 25 15 19 21
-21 22 26 16 20
-22 1 23 17 21
-23 22 2 24 18
-24 23 3 25 19
-25 24 4 26 20
-26 1 25 5 21
0

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