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On this page are computer-accessible forms for the graph C4[ 28, 2 ] = R_14(9,8).

(I) Following is a form readable by MAGMA:

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

(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)
b: (5, 18)(6, 26)(12, 25)(13, 19)
c: (4, 17)(5, 12)(6, 26)(11, 24)(13, 19)(18, 25)
d: (6, 19)(7, 27)(13, 26)(14, 20)
e: (2, 20, 15, 14)(3, 6, 23, 19)(4, 5)(7, 9, 27, 22)(10, 13, 16, 26)(11, 12)(17, 25)(18, 24)(21, 28)

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

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