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On this page are computer-accessible forms for the graph C4[ 30, 7 ] = BW_10[ 3, 4, 2 ].

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {21, 23} 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, 23)(24, 30)(25, 29)(26, 28)
(2, 15, 16, 10)(3, 30, 21, 14)(4, 12, 28, 29)(5, 7, 20, 11)(8, 25, 26, 19)(9, 17, 23, 24)(13, 22, 18, 27)
(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, 7 ]
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 2 24 21
-12 22 2 3 25
-13 23 3 4 26
-14 24 4 5 27
-15 25 5 6 28
-16 26 6 7 29
-17 27 7 8 30
-18 28 8 9 21
-19 22 29 9 10
-20 1 23 30 10
-21 11 23 18 29
-22 12 24 19 30
-23 13 25 20 21
-24 11 22 14 26
-25 12 23 15 27
-26 13 24 16 28
-27 14 25 17 29
-28 15 26 18 30
-29 16 27 19 21
-30 22 17 28 20
0

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