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Enumerace vyplnění polyomin / Enumeration of polyomino fillings

We prove two new results about 0-1-fillings of skew diagrams avoiding long increasing and decreasing chains. In the first half of the thesis, we show that for a large class of skew diagrams, there is a bijection between sparse fillings avoiding an increasing chain of fixed length and sparse fillings avoiding a decreas- ing chain of the same length. In the second half, we extend a known inequality between the number of sparse 0-1-fillings of skew diagrams avoiding an increasing chain of length 2 and a decreasing chain of length 2 to all 0-1-fillings. 1

Identiferoai:union.ndltd.org:nusl.cz/oai:invenio.nusl.cz:380905
Date January 2018
CreatorsKarpilovskij, Mark
ContributorsJelínek, Vít, Klazar, Martin
Source SetsCzech ETDs
LanguageEnglish
Detected LanguageEnglish
Typeinfo:eu-repo/semantics/masterThesis
Rightsinfo:eu-repo/semantics/restrictedAccess

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