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On this page are computer-accessible forms for the graph C4[ 32, 5 ] = MSY(4,8,5,4).

(I) Following is a form readable by MAGMA:

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

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