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On this page are computer-accessible forms for the graph C4[ 50, 2 ] = C_50(1,7).

(I) Following is a form readable by MAGMA:

g:=Graph<50|{ {2, 3}, {48, 49}, {46, 47}, {44, 45}, {24, 25}, {22, 23}, {20, 21}, {18, 19}, {4, 5}, {6, 7}, {8, 9}, {10, 11}, {12, 13}, {14, 15}, {16, 17}, {26, 27}, {28, 29}, {30, 31}, {32, 33}, {34, 35}, {36, 37}, {38, 39}, {40, 41}, {42, 43}, {1, 2}, {49, 50}, {45, 46}, {25, 26}, {21, 22}, {17, 18}, {5, 6}, {9, 10}, {13, 14}, {29, 30}, {33, 34}, {37, 38}, {41, 42}, {3, 4}, {43, 44}, {24, 31}, {19, 20}, {8, 15}, {11, 12}, {16, 23}, {27, 28}, {32, 39}, {35, 36}, {40, 47}, {1, 8}, {23, 30}, {21, 28}, {19, 26}, {17, 24}, {3, 10}, {5, 12}, {7, 14}, {33, 40}, {35, 42}, {37, 44}, {39, 46}, {2, 9}, {22, 29}, {18, 25}, {6, 13}, {34, 41}, {38, 45}, {4, 11}, {23, 24}, {20, 27}, {7, 8}, {36, 43}, {39, 40}, {9, 16}, {43, 50}, {11, 18}, {13, 20}, {15, 22}, {41, 48}, {10, 17}, {14, 21}, {42, 49}, {12, 19}, {47, 48}, {15, 16}, {4, 47}, {1, 44}, {3, 46}, {2, 45}, {1, 50}, {5, 48}, {7, 50}, {6, 49}, {25, 32}, {27, 34}, {29, 36}, {31, 38}, {26, 33}, {30, 37}, {28, 35}, {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, 49, 50)
b: (2, 44, 50, 8)(3, 37, 49, 15)(4, 30, 48, 22)(5, 23, 47, 29)(6, 16, 46, 36)(7, 9, 45, 43)(10, 38, 42, 14)(11, 31, 41, 21)(12, 24, 40, 28)(13, 17, 39, 35)(18, 32, 34, 20)(19, 25, 33, 27)

(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[ 50, 2 ]
50
-1 44 2 50 8
-2 1 45 3 9
-3 2 46 4 10
-4 11 3 47 5
-5 12 4 48 6
-6 13 5 49 7
-7 14 6 50 8
-8 1 15 7 9
-9 2 16 8 10
-10 11 3 17 9
-11 12 4 18 10
-12 11 13 5 19
-13 12 14 6 20
-14 13 15 7 21
-15 22 14 16 8
-16 23 15 17 9
-17 24 16 18 10
-18 11 25 17 19
-19 12 26 18 20
-20 13 27 19 21
-21 22 14 28 20
-22 23 15 29 21
-23 22 24 16 30
-24 23 25 17 31
-25 24 26 18 32
-26 33 25 27 19
-27 34 26 28 20
-28 35 27 29 21
-29 22 36 28 30
-30 23 37 29 31
-31 24 38 30 32
-32 33 25 39 31
-33 34 26 40 32
-34 33 35 27 41
-35 34 36 28 42
-36 35 37 29 43
-37 44 36 38 30
-38 45 37 39 31
-39 46 38 40 32
-40 33 47 39 41
-41 34 48 40 42
-42 35 49 41 43
-43 44 36 50 42
-44 1 45 37 43
-45 44 2 46 38
-46 45 3 47 39
-47 46 4 48 40
-48 47 5 49 41
-49 48 6 50 42
-50 1 49 7 43
0

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