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On this page are computer-accessible forms for the graph C4[ 24, 4 ] = R_12(8,7).

(I) Following is a form readable by MAGMA:

g:=Graph<24|{ {2, 3}, {10, 11}, {6, 7}, {4, 5}, {8, 9}, {1, 2}, {5, 6}, {9, 10}, {9, 13}, {11, 15}, {10, 14}, {16, 21}, {18, 23}, {3, 4}, {17, 22}, {16, 23}, {11, 12}, {17, 24}, {19, 24}, {1, 13}, {3, 15}, {2, 14}, {1, 12}, {7, 8}, {1, 17}, {5, 21}, {4, 20}, {3, 19}, {2, 18}, {6, 22}, {7, 23}, {8, 24}, {4, 16}, {12, 24}, {5, 17}, {6, 18}, {7, 19}, {13, 20}, {15, 22}, {14, 21}, {15, 20}, {8, 20}, {12, 16}, {11, 23}, {10, 22}, {9, 21}, {14, 19}, {13, 18} }>;

(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)
b: (4, 15)(5, 11)(6, 23)(10, 21)(12, 17)(16, 22)
c: (2, 17)(3, 5)(6, 19)(8, 23)(9, 11)(12, 13)(14, 22)(15, 21)(16, 20)(18, 24)
d: (5, 16)(6, 23)(11, 22)(12, 17)

(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[ 24, 4 ]
24
-1 12 2 13 17
-2 1 3 14 18
-3 2 4 15 19
-4 3 5 16 20
-5 4 6 17 21
-6 22 5 7 18
-7 23 6 8 19
-8 24 7 9 20
-9 13 8 10 21
-10 11 22 14 9
-11 12 23 15 10
-12 11 1 24 16
-13 1 18 9 20
-14 2 19 10 21
-15 11 22 3 20
-16 12 23 4 21
-17 22 1 24 5
-18 23 2 13 6
-19 24 3 14 7
-20 13 4 15 8
-21 14 5 16 9
-22 15 6 17 10
-23 11 16 7 18
-24 12 17 8 19
0

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