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On this page are computer-accessible forms for the graph C4[ 51, 1 ] = C_51(1,16).

(I) Following is a form readable by MAGMA:

g:=Graph<51|{ {2, 3}, {50, 51}, {48, 49}, {46, 47}, {44, 45}, {42, 43}, {40, 41}, {38, 39}, {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}, {1, 2}, {49, 50}, {45, 46}, {41, 42}, {17, 18}, {13, 14}, {5, 6}, {9, 10}, {21, 22}, {25, 26}, {29, 30}, {33, 34}, {37, 38}, {3, 4}, {43, 44}, {19, 20}, {11, 12}, {27, 28}, {35, 36}, {7, 8}, {39, 40}, {23, 24}, {1, 17}, {15, 31}, {14, 30}, {13, 29}, {2, 18}, {3, 19}, {4, 20}, {5, 21}, {6, 22}, {7, 23}, {8, 24}, {9, 25}, {10, 26}, {11, 27}, {12, 28}, {32, 48}, {33, 49}, {34, 50}, {35, 51}, {15, 16}, {47, 48}, {4, 39}, {16, 51}, {12, 47}, {8, 43}, {1, 36}, {3, 38}, {9, 44}, {11, 46}, {2, 37}, {10, 45}, {5, 40}, {7, 42}, {6, 41}, {16, 32}, {20, 36}, {19, 35}, {18, 34}, {17, 33}, {21, 37}, {22, 38}, {23, 39}, {24, 40}, {25, 41}, {26, 42}, {27, 43}, {28, 44}, {29, 45}, {30, 46}, {31, 47}, {1, 51}, {13, 48}, {15, 50}, {14, 49}, {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: (2, 17)(3, 33)(4, 49)(5, 14)(6, 30)(7, 46)(8, 11)(9, 27)(10, 43)(12, 24)(13, 40)(15, 21)(16, 37)(19, 34)(20, 50)(22, 31)(23, 47)(25, 28)(26, 44)(29, 41)(32, 38)(36, 51)(39, 48)(42, 45)
b: (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, 51)
c: (2, 36)(3, 20)(5, 39)(6, 23)(8, 42)(9, 26)(11, 45)(12, 29)(14, 48)(15, 32)(17, 51)(18, 35)(21, 38)(24, 41)(27, 44)(30, 47)(33, 50)

(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[ 51, 1 ]
51
-1 2 36 17 51
-2 1 3 37 18
-3 2 4 38 19
-4 3 5 39 20
-5 4 6 40 21
-6 22 5 7 41
-7 23 6 8 42
-8 24 7 9 43
-9 44 25 8 10
-10 11 45 26 9
-11 12 46 27 10
-12 11 13 47 28
-13 12 14 48 29
-14 13 15 49 30
-15 14 16 50 31
-16 15 17 51 32
-17 33 1 16 18
-18 34 2 17 19
-19 35 3 18 20
-20 36 4 19 21
-21 22 37 5 20
-22 23 38 6 21
-23 22 24 39 7
-24 23 25 40 8
-25 24 26 41 9
-26 25 27 42 10
-27 11 26 28 43
-28 44 12 27 29
-29 45 13 28 30
-30 46 14 29 31
-31 47 15 30 32
-32 33 48 16 31
-33 34 49 17 32
-34 33 35 50 18
-35 34 36 51 19
-36 1 35 37 20
-37 2 36 38 21
-38 22 3 37 39
-39 23 4 38 40
-40 24 5 39 41
-41 25 6 40 42
-42 26 7 41 43
-43 44 27 8 42
-44 45 28 9 43
-45 44 46 29 10
-46 11 45 47 30
-47 12 46 48 31
-48 13 47 49 32
-49 33 14 48 50
-50 34 15 49 51
-51 1 35 16 50
0

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