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On this page are computer-accessible forms for the graph C4[ 30, 1 ] = L(B(Petersen)).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {2, 3} under the group generated by the following permutations:

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

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

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