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On this page are computer-accessible forms for the graph C4[ 40, 5 ] = R_20(6, 11).

(I) Following is a form readable by MAGMA:

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

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

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