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On this page are computer-accessible forms for the graph C4[ 30, 1 ] = W(15,2).

(I) Following is a form readable by MAGMA:

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

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

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

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