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On this page are computer-accessible forms for the graph C4[ 48, 12 ] = KE_12(1,7,4,9,1).

(I) Following is a form readable by MAGMA:

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

(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, 12)(3, 11)(4, 10)(5, 9)(6, 8)(13, 30)(14, 29)(15, 28)(16, 27)(17, 26)(18, 25)(19, 36)(20, 35)(21, 34)(22, 33)(23, 32)(24, 31)(37, 39)(40, 48)(41, 47)(42, 46)(43, 45)
b: (2, 18)(3, 34)(4, 10)(5, 15)(6, 31)(8, 24)(9, 28)(11, 21)(12, 25)(13, 36)(14, 40)(16, 33)(17, 37)(19, 30)(20, 46)(22, 27)(23, 43)(26, 39)(29, 48)(32, 45)(35, 42)(41, 47)
c: (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)

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

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