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On this page are computer-accessible forms for the graph C4[ 30, 6 ] = BW_10[ 2, 4, 3 ].

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {20, 22} under the group generated by the following permutations:

(2, 10)(3, 9)(4, 8)(5, 7)(11, 20)(12, 19)(13, 18)(14, 17)(15, 16)(21, 22)(23, 30)(24, 29)(25, 28)(26, 27)
(2, 16)(3, 23)(4, 25)(5, 20)(7, 11)(8, 28)(9, 30)(10, 15)(12, 26)(14, 22)(17, 21)(19, 27)(24, 29)
(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)

(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[ 30, 6 ]
30
-1 11 5 7 20
-2 11 12 6 8
-3 12 13 7 9
-4 13 14 8 10
-5 1 14 15 9
-6 2 15 16 10
-7 1 3 16 17
-8 2 4 17 18
-9 3 5 18 19
-10 4 6 19 20
-11 1 23 2 21
-12 22 2 24 3
-13 23 3 25 4
-14 24 4 26 5
-15 25 5 27 6
-16 26 6 28 7
-17 27 7 29 8
-18 28 8 30 9
-19 29 9 10 21
-20 22 1 30 10
-21 11 24 28 19
-22 12 25 29 20
-23 11 13 26 30
-24 12 14 27 21
-25 22 13 15 28
-26 23 14 16 29
-27 24 15 17 30
-28 25 16 18 21
-29 22 26 17 19
-30 23 27 18 20
0

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