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National Repository of Grey Literature 1 records found  Search took 0.00 seconds. 
Three-Line Latin Rectangles and Associativity
 Onduš, Daniel ; Drápal, Aleš (advisor) ; Vojtěchovský, Petr (referee)
This thesis deals with properties of permutations and three-line latin rectan- gles. In the first part it offers solutions to several combinatorial problems and derrives formula for enumeration of three-line latin rectangles and its simplifica- tion based on articles by J. Riordan, but unlike Riordan's articles, without use of generating functions. In the second part it shows algebraic properties of permu- tation conjugation. Furthermore it provides an algorithm that constructs set of permutations commuting with a given permutation and enumerates orbits of the set of three-line latin rectangles when conjugating by the group of permutations Sn for small n.
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