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On this page are computer-accessible forms for the graph C4[ 32, 2 ] = R_16(10, 9).

(I) Following is a form readable by MAGMA:

g:=Graph<32|{ {2, 3}, {12, 13}, {10, 11}, {8, 9}, {4, 5}, {6, 7}, {14, 15}, {1, 2}, {9, 10}, {5, 6}, {13, 14}, {16, 22}, {3, 4}, {24, 31}, {11, 12}, {17, 24}, {23, 30}, {22, 31}, {18, 27}, {19, 26}, {20, 29}, {21, 28}, {17, 26}, {22, 29}, {21, 30}, {18, 25}, {7, 8}, {19, 28}, {20, 27}, {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}, {15, 31}, {1, 16}, {1, 23}, {9, 31}, {8, 30}, {2, 24}, {11, 17}, {3, 25}, {6, 28}, {7, 29}, {14, 20}, {15, 21}, {4, 26}, {5, 27}, {12, 18}, {13, 19}, {15, 16}, {10, 32}, {16, 32}, {23, 32}, {25, 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:

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

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

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