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On this page are computer-accessible forms for the graph C4[ 32, 1 ] = W(16,2).

(I) Following is a form readable by MAGMA:

g:=Graph<32|{ {2, 3}, {30, 31}, {28, 29}, {26, 27}, {24, 25}, {22, 23}, {10, 11}, {8, 9}, {4, 5}, {6, 7}, {12, 13}, {14, 15}, {16, 17}, {18, 19}, {20, 21}, {1, 2}, {29, 30}, {25, 26}, {21, 22}, {9, 10}, {5, 6}, {13, 14}, {17, 18}, {3, 4}, {27, 28}, {11, 12}, {19, 20}, {7, 8}, {23, 24}, {16, 31}, {1, 16}, {11, 26}, {10, 27}, {9, 24}, {8, 25}, {2, 19}, {3, 18}, {4, 21}, {5, 20}, {6, 23}, {7, 22}, {12, 29}, {13, 28}, {14, 31}, {15, 30}, {1, 18}, {10, 25}, {9, 26}, {2, 17}, {5, 22}, {6, 21}, {13, 30}, {14, 29}, {3, 20}, {11, 28}, {4, 19}, {12, 27}, {7, 24}, {8, 23}, {15, 16}, {1, 32}, {15, 32}, {17, 32}, {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: (14, 30)
b: (12, 28)
c: (8, 24)
d: (16, 32)
e: (2, 18)
f: (2, 16)(3, 15)(4, 14)(5, 13)(6, 12)(7, 11)(8, 10)(18, 32)(19, 31)(20, 30)(21, 29)(22, 28)(23, 27)(24, 26)
g: (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)
h: (6, 22)
m: (10, 26)
n1: (5, 21)
a1: (13, 29)
b1: (3, 19)
c1: (11, 27)
d1: (9, 25)
e1: (15, 31)
f1: (4, 20)

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

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