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On this page are computer-accessible forms for the graph C4[ 36, 2 ] = DW(12,3).

(I) Following is a form readable by MAGMA:

g:=Graph<36|{ {12, 13}, {24, 25}, {4, 15}, {20, 31}, {16, 27}, {2, 15}, {19, 30}, {18, 31}, {17, 28}, {16, 29}, {3, 14}, {1, 14}, {18, 29}, {17, 30}, {2, 13}, {3, 16}, {15, 28}, {7, 20}, {11, 24}, {4, 17}, {15, 26}, {14, 27}, {7, 18}, {6, 19}, {5, 16}, {12, 25}, {5, 18}, {14, 25}, {13, 26}, {6, 17}, {8, 31}, {1, 24}, {7, 30}, {6, 31}, {5, 28}, {4, 29}, {3, 26}, {2, 27}, {1, 26}, {6, 29}, {5, 30}, {2, 25}, {8, 19}, {12, 23}, {8, 21}, {9, 20}, {10, 23}, {11, 22}, {3, 28}, {4, 27}, {9, 22}, {10, 21}, {1, 36}, {7, 32}, {8, 33}, {13, 36}, {9, 32}, {10, 35}, {11, 34}, {9, 34}, {10, 33}, {11, 36}, {12, 35}, {19, 32}, {23, 36}, {20, 33}, {23, 34}, {22, 35}, {21, 32}, {21, 34}, {22, 33}, {24, 35} }>;

(II) A more general form is to represent the graph as the orbit of {12, 13} under the group generated by the following permutations:

a: (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, 28, 29, 30, 31, 32, 33, 34, 35, 36)
b: (13, 25)(14, 26)(15, 27)(16, 28)(17, 29)(18, 30)(19, 31)(20, 32)(21, 33)(22, 34)(23, 35)(24, 36)
c: (1, 13)(2, 14)(3, 15)(4, 16)(5, 17)(6, 18)(7, 19)(8, 20)(9, 21)(10, 22)(11, 23)(12, 24)
d: (2, 12)(3, 11)(4, 10)(5, 9)(6, 8)(14, 24)(15, 23)(16, 22)(17, 21)(18, 20)(26, 36)(27, 35)(28, 34)(29, 33)(30, 32)

(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[ 36, 2 ]
36
-1 24 14 36 26
-2 13 25 15 27
-3 14 26 16 28
-4 15 27 17 29
-5 16 28 18 30
-6 17 29 19 31
-7 18 30 20 32
-8 33 19 31 21
-9 22 34 20 32
-10 33 23 35 21
-11 22 34 24 36
-12 23 13 35 25
-13 12 2 36 26
-14 1 3 25 27
-15 2 4 26 28
-16 3 5 27 29
-17 4 6 28 30
-18 5 7 29 31
-19 6 8 30 32
-20 33 7 9 31
-21 34 8 10 32
-22 11 33 35 9
-23 12 34 36 10
-24 11 1 35 25
-25 12 2 24 14
-26 1 13 3 15
-27 2 14 4 16
-28 3 15 5 17
-29 4 16 6 18
-30 5 17 7 19
-31 6 18 8 20
-32 7 19 9 21
-33 22 8 20 10
-34 11 23 9 21
-35 22 12 24 10
-36 11 1 23 13
0

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