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On this page are computer-accessible forms for the graph C4[ 27, 1 ] = DW(9,3).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {18, 19} under the group generated by the following permutations:

a: (1, 10)(2, 11)(3, 12)(4, 13)(5, 14)(6, 15)(7, 16)(8, 17)(9, 18)
b: (2, 9)(3, 8)(4, 7)(5, 6)(11, 18)(12, 17)(13, 16)(14, 15)(20, 27)(21, 26)(22, 25)(23, 24)
c: (10, 19)(11, 20)(12, 21)(13, 22)(14, 23)(15, 24)(16, 25)(17, 26)(18, 27)
d: (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)

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

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