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On this page are computer-accessible forms for the graph C4[ 48, 8 ] = R_24(8,19).

(I) Following is a form readable by MAGMA:

g:=Graph<48|{ {2, 3}, {22, 23}, {20, 21}, {10, 11}, {8, 9}, {6, 7}, {4, 5}, {12, 13}, {14, 15}, {16, 17}, {18, 19}, {1, 2}, {21, 22}, {9, 10}, {5, 6}, {13, 14}, {17, 18}, {26, 31}, {42, 47}, {40, 45}, {34, 39}, {32, 37}, {3, 4}, {41, 46}, {33, 38}, {25, 30}, {19, 20}, {11, 12}, {35, 40}, {39, 44}, {36, 41}, {38, 43}, {7, 8}, {37, 42}, {23, 24}, {9, 25}, {11, 27}, {10, 26}, {12, 28}, {13, 29}, {14, 30}, {15, 31}, {1, 25}, {7, 31}, {6, 30}, {5, 29}, {4, 28}, {3, 27}, {2, 26}, {1, 24}, {43, 48}, {15, 16}, {1, 41}, {24, 48}, {11, 35}, {10, 34}, {9, 33}, {8, 32}, {7, 47}, {6, 46}, {5, 45}, {4, 44}, {3, 43}, {2, 42}, {12, 36}, {13, 37}, {14, 38}, {15, 39}, {29, 48}, {16, 32}, {24, 40}, {23, 39}, {22, 38}, {21, 37}, {20, 36}, {19, 35}, {18, 34}, {17, 33}, {28, 47}, {25, 44}, {27, 46}, {26, 45}, {8, 48}, {23, 47}, {22, 46}, {21, 45}, {20, 44}, {19, 43}, {18, 42}, {16, 40}, {17, 41}, {27, 32}, {31, 36}, {28, 33}, {30, 35}, {29, 34} }>;

(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, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48)
b: (2, 25)(3, 9)(4, 10)(5, 34)(6, 18)(7, 19)(8, 43)(11, 28)(14, 37)(15, 21)(16, 22)(17, 46)(20, 31)(23, 40)(26, 44)(27, 33)(30, 42)(32, 38)(35, 47)(39, 45)
c: (2, 41, 25, 24)(3, 17, 44, 40)(4, 16)(5, 32, 28, 15)(6, 8, 47, 31)(9, 23, 26, 46)(10, 22)(11, 38, 34, 21)(12, 14, 29, 37)(18, 20, 35, 43)(27, 33, 39, 45)(30, 48, 42, 36)

(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[ 48, 8 ]
48
-1 2 24 25 41
-2 1 3 26 42
-3 2 4 27 43
-4 44 3 5 28
-5 45 4 6 29
-6 46 5 7 30
-7 47 6 8 31
-8 48 7 9 32
-9 33 25 8 10
-10 11 34 26 9
-11 12 35 27 10
-12 11 13 36 28
-13 12 14 37 29
-14 13 15 38 30
-15 14 16 39 31
-16 15 17 40 32
-17 33 16 18 41
-18 34 17 19 42
-19 35 18 20 43
-20 44 36 19 21
-21 22 45 37 20
-22 23 46 38 21
-23 22 24 47 39
-24 1 23 48 40
-25 44 1 30 9
-26 45 2 31 10
-27 11 46 3 32
-28 33 12 47 4
-29 34 13 48 5
-30 35 14 25 6
-31 36 15 26 7
-32 37 16 27 8
-33 38 17 28 9
-34 39 18 29 10
-35 11 40 19 30
-36 12 41 20 31
-37 13 42 21 32
-38 22 33 14 43
-39 44 23 34 15
-40 45 24 35 16
-41 1 46 36 17
-42 2 47 37 18
-43 3 48 38 19
-44 25 4 39 20
-45 26 5 40 21
-46 22 27 6 41
-47 23 28 7 42
-48 24 29 8 43
0

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