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On this page are computer-accessible forms for the graph C4[ 40, 1 ] = W(20,2).

(I) Following is a form readable by MAGMA:

g:=Graph<40|{ {2, 3}, {38, 39}, {36, 37}, {14, 15}, {12, 13}, {10, 11}, {4, 5}, {6, 7}, {8, 9}, {16, 17}, {18, 19}, {20, 21}, {22, 23}, {24, 25}, {26, 27}, {28, 29}, {30, 31}, {32, 33}, {34, 35}, {1, 2}, {37, 38}, {13, 14}, {5, 6}, {9, 10}, {17, 18}, {21, 22}, {25, 26}, {29, 30}, {33, 34}, {3, 4}, {35, 36}, {11, 12}, {19, 20}, {27, 28}, {7, 8}, {39, 40}, {23, 24}, {4, 23}, {12, 31}, {8, 27}, {1, 20}, {11, 30}, {10, 31}, {2, 23}, {3, 22}, {8, 29}, {9, 28}, {1, 22}, {10, 29}, {2, 21}, {9, 30}, {3, 24}, {7, 28}, {4, 25}, {5, 24}, {6, 27}, {7, 26}, {5, 26}, {15, 16}, {6, 25}, {1, 40}, {11, 32}, {15, 36}, {12, 33}, {15, 34}, {14, 35}, {13, 32}, {13, 34}, {14, 33}, {16, 35}, {20, 39}, {16, 37}, {17, 36}, {18, 39}, {19, 38}, {17, 38}, {18, 37}, {19, 40}, {21, 40}, {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: (12, 32)
b: (16, 36)
c: (7, 27)
d: (4, 24)
e: (10, 30)
f: (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, 37, 38, 39, 40)
g: (13, 33)
h: (19, 39)
m: (15, 35)
n1: (3, 23)
a1: (20, 40)
b1: (6, 26)
c1: (5, 25)
d1: (11, 31)
e1: (17, 37)
f1: (2, 22)
g1: (2, 20)(3, 19)(4, 18)(5, 17)(6, 16)(7, 15)(8, 14)(9, 13)(10, 12)(22, 40)(23, 39)(24, 38)(25, 37)(26, 36)(27, 35)(28, 34)(29, 33)(30, 32)
h1: (8, 28)
m1: (14, 34)
n2: (18, 38)

(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[ 40, 1 ]
40
-1 22 2 40 20
-2 1 23 3 21
-3 22 2 24 4
-4 23 3 25 5
-5 24 4 26 6
-6 25 5 27 7
-7 26 6 28 8
-8 27 7 29 9
-9 28 8 30 10
-10 11 29 9 31
-11 12 30 10 32
-12 11 33 13 31
-13 12 34 14 32
-14 33 13 35 15
-15 34 14 36 16
-16 35 15 37 17
-17 36 16 38 18
-18 37 17 39 19
-19 38 18 40 20
-20 1 39 19 21
-21 22 2 40 20
-22 1 23 3 21
-23 22 2 24 4
-24 23 3 25 5
-25 24 4 26 6
-26 25 5 27 7
-27 26 6 28 8
-28 27 7 29 9
-29 28 8 30 10
-30 11 29 9 31
-31 12 30 10 32
-32 11 33 13 31
-33 12 34 14 32
-34 33 13 35 15
-35 34 14 36 16
-36 35 15 37 17
-37 36 16 38 18
-38 37 17 39 19
-39 38 18 40 20
-40 1 39 19 21
0

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