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On this page are computer-accessible forms for the graph C4[ 30, 2 ] =
C_30(1,11).
(I) Following is a form readable by MAGMA:
g:=Graph<30|{ {2, 3}, {28, 29}, {26, 27}, {24, 25}, {12, 13}, {10, 11}, {4, 5},
{6, 7}, {8, 9}, {14, 15}, {16, 17}, {18, 19}, {20, 21}, {22, 23}, {1, 2}, {29,
30}, {25, 26}, {13, 14}, {9, 10}, {5, 6}, {17, 18}, {21, 22}, {3, 4}, {27, 28},
{11, 12}, {19, 20}, {4, 15}, {16, 27}, {1, 12}, {3, 14}, {17, 28}, {19, 30}, {2,
13}, {7, 8}, {18, 29}, {23, 24}, {4, 23}, {8, 27}, {1, 20}, {11, 30}, {9, 28},
{3, 22}, {5, 16}, {7, 18}, {13, 24}, {15, 26}, {2, 21}, {10, 29}, {6, 17}, {14,
25}, {8, 19}, {12, 23}, {5, 24}, {11, 22}, {9, 20}, {7, 26}, {1, 30}, {10, 21},
{6, 25}, {15, 16} }>;
(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: (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.
**************
&Graph **************
b: (2, 12)(3, 23)(5, 15)(6, 26)(8, 18)(9, 29)(11, 21)(14, 24)(17, 27)(20,
30)
c: (2, 20)(3, 9)(4, 28)(5, 17)(7, 25)(8, 14)(10, 22)(12, 30)(13, 19)(15, 27)(18,
24)(23, 29)
C4[ 30, 2 ]
30
-1 12 2 30 20
-2 1 13 3 21
-3 22 2 14 4
-4 23 3 15 5
-5 24 4 16 6
-6 25 5 17 7
-7 26 6 18 8
-8 27 7 19 9
-9 28 8 20 10
-10 11 29 9 21
-11 22 12 30 10
-12 11 1 23 13
-13 12 2 24 14
-14 13 3 25 15
-15 14 4 26 16
-16 15 5 27 17
-17 16 6 28 18
-18 17 7 29 19
-19 18 8 30 20
-20 1 19 9 21
-21 22 2 20 10
-22 11 23 3 21
-23 22 12 24 4
-24 23 13 25 5
-25 24 14 26 6
-26 25 15 27 7
-27 26 16 28 8
-28 27 17 29 9
-29 28 18 30 10
-30 11 1 29 19
0