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On this page are computer-accessible forms for the graph C4[ 36, 6 ] = AMC(4,3,[0.1:1.2]).

(I) Following is a form readable by MAGMA:

g:=Graph<36|{ {8, 11}, {24, 28}, {27, 31}, {9, 12}, {8, 14}, {27, 29}, {9, 15}, {26, 28}, {25, 30}, {17, 25}, {18, 26}, {23, 30}, {6, 12}, {7, 13}, {16, 26}, {17, 27}, {16, 27}, {18, 25}, {20, 31}, {22, 29}, {1, 13}, {3, 15}, {2, 14}, {7, 10}, {4, 10}, {5, 11}, {1, 16}, {3, 18}, {2, 17}, {4, 16}, {6, 18}, {5, 17}, {9, 28}, {13, 24}, {8, 30}, {14, 24}, {8, 31}, {11, 19}, {14, 22}, {12, 20}, {15, 23}, {5, 28}, {15, 22}, {4, 30}, {13, 23}, {7, 29}, {6, 29}, {3, 31}, {10, 20}, {11, 21}, {10, 21}, {12, 19}, {2, 34}, {3, 35}, {1, 32}, {5, 36}, {2, 33}, {6, 34}, {1, 36}, {7, 33}, {4, 35}, {9, 32}, {19, 35}, {20, 36}, {19, 33}, {22, 36}, {21, 32}, {23, 34}, {21, 34}, {25, 32}, {24, 35}, {26, 33} }>;

(II) A more general form is to represent the graph as the orbit of {8, 11} under the group generated by the following permutations:

a: (2, 6, 3, 8)(4, 5, 7, 9)(10, 28)(11, 33, 12, 35)(13, 32, 16, 36)(14, 34, 18, 31)(15, 30, 17, 29)(20, 24, 21, 26)(22, 23, 25, 27)
b: (1, 10)(2, 14)(3, 18)(4, 16)(5, 11)(6, 15)(7, 13)(8, 17)(9, 12)(19, 28)(20, 32)(21, 36)(22, 34)(23, 29)(24, 33)(25, 31)(26, 35)(27, 30)
c: (1, 2)(4, 8)(5, 7)(6, 9)(10, 11)(13, 17)(14, 16)(15, 18)(19, 20)(22, 26)(23, 25)(24, 27)(28, 29)(31, 35)(32, 34)(33, 36)
d: (2, 3)(4, 7)(5, 9)(6, 8)(11, 12)(13, 16)(14, 18)(15, 17)(20, 21)(22, 25)(23, 27)(24, 26)(29, 30)(31, 34)(32, 36)(33, 35)

(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[ 36, 6 ]
36
-1 13 36 16 32
-2 33 34 14 17
-3 35 15 18 31
-4 35 16 30 10
-5 11 36 17 28
-6 12 34 18 29
-7 33 13 29 10
-8 11 14 30 31
-9 12 15 28 32
-10 4 7 20 21
-11 5 8 19 21
-12 6 19 9 20
-13 1 23 24 7
-14 22 2 24 8
-15 22 23 3 9
-16 1 4 26 27
-17 2 25 5 27
-18 3 25 26 6
-19 11 33 12 35
-20 12 36 31 10
-21 11 34 10 32
-22 14 36 15 29
-23 34 13 15 30
-24 13 35 14 28
-25 17 18 30 32
-26 33 16 28 18
-27 16 17 29 31
-28 24 26 5 9
-29 22 27 6 7
-30 23 25 4 8
-31 3 27 8 20
-32 1 25 9 21
-33 2 26 7 19
-34 23 2 6 21
-35 24 3 4 19
-36 22 1 5 20
0

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