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On this page are computer-accessible forms for the graph C4[ 26, 3 ] = BC_13(0,1,3,9).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {12, 15} under the group generated by the following permutations:

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

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