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On this page are computer-accessible forms for the graph C4[ 32, 2 ] = {4,4}_4,4.

(I) Following is a form readable by MAGMA:

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

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