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On this page are computer-accessible forms for the graph C4[ 32, 3 ] = R_16(2, 9).

(I) Following is a form readable by MAGMA:

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

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

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

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