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On this page are computer-accessible forms for the graph C4[ 48, 3 ] = C_48(1,17).

(I) Following is a form readable by MAGMA:

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

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

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

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