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On this page are computer-accessible forms for the graph C4[ 40, 4 ] = {4,4}_6,2.

(I) Following is a form readable by MAGMA:

g:=Graph<40|{ {2, 3}, {38, 39}, {36, 37}, {14, 15}, {12, 13}, {10, 11}, {4, 5}, {6, 7}, {8, 9}, {16, 17}, {18, 19}, {22, 23}, {24, 25}, {26, 27}, {28, 29}, {30, 31}, {32, 33}, {34, 35}, {1, 2}, {37, 38}, {13, 14}, {5, 6}, {9, 10}, {17, 18}, {21, 22}, {25, 26}, {29, 30}, {33, 34}, {16, 22}, {17, 23}, {3, 4}, {11, 12}, {19, 20}, {27, 28}, {35, 36}, {18, 24}, {19, 25}, {20, 26}, {7, 8}, {39, 40}, {23, 24}, {1, 21}, {11, 31}, {10, 30}, {2, 22}, {3, 23}, {8, 28}, {9, 29}, {1, 20}, {1, 27}, {15, 21}, {4, 30}, {5, 31}, {4, 24}, {5, 25}, {6, 26}, {7, 27}, {2, 28}, {3, 29}, {15, 16}, {6, 32}, {14, 40}, {7, 33}, {8, 34}, {13, 39}, {12, 38}, {9, 35}, {12, 32}, {14, 34}, {13, 33}, {15, 35}, {10, 36}, {11, 37}, {16, 36}, {17, 37}, {18, 38}, {19, 39}, {20, 40}, {21, 40}, {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, 21, 20, 27)(3, 15, 19, 7)(4, 35, 18, 33)(5, 9, 17, 13)(6, 29, 16, 39)(8, 23, 14, 25)(10, 37, 12, 31)(22, 40, 26, 28)(24, 34)(30, 36, 38, 32)
b: (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, 33, 34, 35, 36, 37, 38, 39, 40)

(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[ 40, 4 ]
40
-1 2 27 20 21
-2 22 1 3 28
-3 23 2 4 29
-4 24 3 5 30
-5 25 4 6 31
-6 26 5 7 32
-7 33 27 6 8
-8 34 28 7 9
-9 35 29 8 10
-10 11 36 30 9
-11 12 37 31 10
-12 11 13 38 32
-13 33 12 14 39
-14 34 13 15 40
-15 35 14 16 21
-16 22 36 15 17
-17 23 37 16 18
-18 24 38 17 19
-19 25 39 18 20
-20 1 26 40 19
-21 22 1 15 40
-22 23 2 16 21
-23 22 24 3 17
-24 23 25 4 18
-25 24 26 5 19
-26 25 27 6 20
-27 1 26 28 7
-28 2 27 29 8
-29 3 28 30 9
-30 4 29 31 10
-31 11 5 30 32
-32 33 12 6 31
-33 34 13 7 32
-34 33 35 14 8
-35 34 36 15 9
-36 35 37 16 10
-37 11 36 38 17
-38 12 37 39 18
-39 13 38 40 19
-40 14 39 20 21
0

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