C4graphGraph forms for C4 [ 33, 1 ] = C_33(1,10)

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On this page are computer-accessible forms for the graph C4[ 33, 1 ] = C_33(1,10).

(I) Following is a form readable by MAGMA:

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

(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: (2, 24)(3, 14)(5, 27)(6, 17)(8, 30)(9, 20)(11, 33)(12, 23)(15, 26)(18, 29)(21, 32)
b: (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)
c: (2, 11)(3, 21)(4, 31)(5, 8)(6, 18)(7, 28)(9, 15)(10, 25)(13, 22)(14, 32)(16, 19)(17, 29)(20, 26)(24, 33)(27, 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[ 33, 1 ]
33
-1 11 33 2 24
-2 1 12 3 25
-3 2 13 4 26
-4 3 14 5 27
-5 4 15 6 28
-6 5 16 7 29
-7 6 17 8 30
-8 7 18 9 31
-9 8 19 10 32
-10 11 33 9 20
-11 1 12 10 21
-12 11 22 2 13
-13 12 23 3 14
-14 13 24 4 15
-15 14 25 5 16
-16 15 26 6 17
-17 16 27 7 18
-18 17 28 8 19
-19 18 29 9 20
-20 19 30 10 21
-21 11 22 20 31
-22 12 23 21 32
-23 22 33 13 24
-24 1 23 14 25
-25 2 24 15 26
-26 3 25 16 27
-27 4 26 17 28
-28 5 27 18 29
-29 6 28 19 30
-30 7 29 20 31
-31 8 30 21 32
-32 22 33 9 31
-33 1 23 10 32
0

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