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On this page are computer-accessible forms for the graph C4[ 36, 4 ] = R_18(11,10).

(I) Following is a form readable by MAGMA:

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

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

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

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