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On this page are computer-accessible forms for the graph C4[ 38, 1 ] = W(19,2).

(I) Following is a form readable by MAGMA:

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

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

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