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On this page are computer-accessible forms for the graph C4[ 50, 3 ] = {4,4}_5,5.

(I) Following is a form readable by MAGMA:

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

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