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On this page are computer-accessible forms for the graph C4[ 36, 3 ] = {4,4}_6,0.

(I) Following is a form readable by MAGMA:

g:=Graph<36|{ {2, 3}, {34, 35}, {32, 33}, {28, 29}, {26, 27}, {22, 23}, {20, 21}, {10, 11}, {8, 9}, {4, 5}, {14, 15}, {16, 17}, {1, 2}, {33, 34}, {29, 30}, {25, 26}, {21, 22}, {9, 10}, {5, 6}, {13, 14}, {17, 18}, {1, 7}, {25, 31}, {24, 30}, {9, 15}, {8, 14}, {16, 22}, {17, 23}, {1, 6}, {35, 36}, {27, 28}, {25, 30}, {11, 12}, {3, 4}, {19, 20}, {2, 8}, {23, 29}, {22, 28}, {19, 25}, {7, 13}, {6, 12}, {3, 9}, {18, 24}, {7, 12}, {19, 24}, {4, 10}, {21, 27}, {20, 26}, {5, 11}, {7, 8}, {23, 24}, {10, 16}, {11, 17}, {14, 20}, {15, 21}, {1, 31}, {12, 18}, {13, 19}, {13, 18}, {15, 16}, {2, 32}, {6, 36}, {3, 33}, {4, 34}, {5, 35}, {26, 32}, {30, 36}, {27, 33}, {31, 36}, {28, 34}, {29, 35}, {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, 7)(3, 13)(4, 19)(5, 25)(6, 31)(9, 14)(10, 20)(11, 26)(12, 32)(16, 21)(17, 27)(18, 33)(23, 28)(24, 34)(30, 35)
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, 34, 35, 36)
c: (2, 6)(3, 5)(8, 12)(9, 11)(14, 18)(15, 17)(20, 24)(21, 23)(26, 30)(27, 29)(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, 3 ]
36
-1 2 6 7 31
-2 1 3 8 32
-3 33 2 4 9
-4 34 3 5 10
-5 11 35 4 6
-6 1 12 36 5
-7 1 12 13 8
-8 2 14 7 9
-9 3 15 8 10
-10 11 4 16 9
-11 12 5 17 10
-12 11 6 7 18
-13 14 7 18 19
-14 13 15 8 20
-15 14 16 9 21
-16 22 15 17 10
-17 11 23 16 18
-18 12 13 24 17
-19 13 24 25 20
-20 14 26 19 21
-21 22 15 27 20
-22 23 16 28 21
-23 22 24 17 29
-24 23 18 19 30
-25 26 19 30 31
-26 25 27 20 32
-27 33 26 28 21
-28 22 34 27 29
-29 23 35 28 30
-30 24 25 36 29
-31 1 25 36 32
-32 33 2 26 31
-33 34 3 27 32
-34 33 35 4 28
-35 34 36 5 29
-36 35 6 30 31
0

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