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On this page are computer-accessible forms for the graph C4[ 36, 1 ] = W(18,2).

(I) Following is a form readable by MAGMA:

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

(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: (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: (2, 20)
c: (3, 21)
d: (15, 33)
e: (17, 35)
f: (4, 22)
g: (6, 24)
h: (12, 30)
m: (14, 32)
n1: (7, 25)
a1: (11, 29)
b1: (9, 27)
c1: (13, 31)
d1: (10, 28)
e1: (2, 18)(3, 17)(4, 16)(5, 15)(6, 14)(7, 13)(8, 12)(9, 11)(20, 36)(21, 35)(22, 34)(23, 33)(24, 32)(25, 31)(26, 30)(27, 29)
f1: (5, 23)
g1: (16, 34)
h1: (18, 36)

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

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