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On this page are computer-accessible forms for the graph C4[ 32, 3 ] = {4,4}_<6,2>.

(I) Following is a form readable by MAGMA:

g:=Graph<32|{ {2, 3}, {30, 31}, {28, 29}, {26, 27}, {24, 25}, {12, 13}, {10, 11}, {4, 5}, {6, 7}, {8, 9}, {14, 15}, {18, 19}, {20, 21}, {22, 23}, {1, 2}, {29, 30}, {25, 26}, {9, 10}, {5, 6}, {13, 14}, {17, 18}, {21, 22}, {3, 4}, {27, 28}, {11, 12}, {19, 20}, {16, 26}, {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}, {15, 31}, {1, 16}, {7, 17}, {14, 24}, {15, 25}, {1, 27}, {9, 19}, {8, 18}, {4, 30}, {5, 31}, {12, 22}, {13, 23}, {2, 28}, {11, 21}, {10, 20}, {3, 29}, {15, 16}, {6, 32}, {16, 32}, {17, 32}, {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: (2, 27)(3, 11)(4, 21)(6, 31)(7, 15)(8, 25)(10, 19)(12, 29)(14, 23)(16, 17)(18, 26)(22, 30)
b: (2, 17)(3, 7)(4, 23)(5, 13)(6, 29)(8, 19)(10, 25)(11, 15)(12, 31)(14, 21)(16, 27)(20, 24)(22, 30)(28, 32)
c: (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 27 17
-2 1 3 28 18
-3 2 4 29 19
-4 3 5 30 20
-5 4 6 31 21
-6 22 5 7 32
-7 23 6 17 8
-8 24 7 18 9
-9 25 8 19 10
-10 11 26 9 20
-11 12 27 10 21
-12 11 22 13 28
-13 12 23 14 29
-14 13 24 15 30
-15 14 25 16 31
-16 1 15 26 32
-17 1 7 18 32
-18 2 17 8 19
-19 3 18 9 20
-20 4 19 10 21
-21 11 22 5 20
-22 12 23 6 21
-23 22 13 24 7
-24 23 14 25 8
-25 24 15 26 9
-26 25 16 27 10
-27 11 1 26 28
-28 12 2 27 29
-29 13 3 28 30
-30 14 4 29 31
-31 15 5 30 32
-32 16 6 17 31
0

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