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On this page are computer-accessible forms for the graph C4[ 48, 15 ] = SDD(R_6(5,4)).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {22, 28} under the group generated by the following permutations:

a: (4, 13)
b: (2, 4)(3, 5)(7, 11)(10, 14)(13, 18)(15, 21)(16, 20)(17, 22)(25, 27)(26, 29)(28, 31)(30, 34)(32, 37)(33, 38)(35, 40)(36, 41)(39, 43)(42, 45)(44, 47)(46, 48)
c: (2, 3)(4, 5)(6, 8)(7, 10)(9, 12)(11, 14)(13, 17)(15, 20)(16, 21)(18, 22)(25, 26)(27, 29)(30, 33)(32, 36)(34, 38)(35, 39)(37, 41)(40, 43)(44, 46)(47, 48)
d: (6, 9)
e: (8, 12)
f: (2, 18)
g: (1, 2)(4, 6)(5, 7)(8, 10)(9, 13)(12, 16)(14, 19)(17, 21)(18, 23)(20, 24)(26, 28)(27, 30)(29, 32)(31, 35)(33, 36)(37, 40)(38, 42)(41, 44)(43, 46)(45, 47)
h: (11, 15)
m: (10, 16)
n1: (14, 20)
a1: (19, 24)
b1: (3, 22)
c1: (5, 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[ 48, 15 ]
48
-1 25 26 27 29
-2 25 28 30 32
-3 33 36 26 28
-4 34 37 27 31
-5 38 29 41 31
-6 34 35 40 30
-7 44 35 42 32
-8 33 38 39 43
-9 34 35 40 30
-10 46 36 39 42
-11 45 47 37 40
-12 33 38 39 43
-13 34 37 27 31
-14 45 48 41 43
-15 45 47 37 40
-16 46 36 39 42
-17 38 29 41 31
-18 25 28 30 32
-19 44 46 47 48
-20 45 48 41 43
-21 44 35 42 32
-22 33 36 26 28
-23 25 26 27 29
-24 44 46 47 48
-25 1 23 2 18
-26 22 1 23 3
-27 1 23 13 4
-28 22 2 3 18
-29 1 23 5 17
-30 2 6 18 9
-31 13 4 5 17
-32 2 7 18 21
-33 22 12 3 8
-34 13 4 6 9
-35 6 7 9 21
-36 22 3 16 10
-37 11 13 4 15
-38 12 5 17 8
-39 12 16 8 10
-40 11 15 6 9
-41 14 5 17 20
-42 16 7 10 21
-43 12 14 8 20
-44 24 7 19 21
-45 11 14 15 20
-46 24 16 19 10
-47 11 24 15 19
-48 24 14 19 20
0

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