Search results for "Recursive decomposition"

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Catalan words avoiding pairs of length three patterns

2021

Catalan words are particular growth-restricted words counted by the eponymous integer sequence. In this article we consider Catalan words avoiding a pair of patterns of length 3, pursuing the recent initiating work of the first and last authors and of S. Kirgizov where (among other things) the enumeration of Catalan words avoiding a patterns of length 3 is completed. More precisely, we explore systematically the structural properties of the sets of words under consideration and give enumerating results by means of recursive decomposition, constructive bijections or bivariate generating functions with respect to the length and descent number. Some of the obtained enumerating sequences are kn…

FOS: Computer and information sciencesMathematics::CombinatoricsDiscrete Mathematics (cs.DM)General Computer ScienceInteger sequenceBivariate analysisConstructivelanguage.human_languageTheoretical Computer ScienceCombinatorics[MATH.MATH-CO] Mathematics [math]/Combinatorics [math.CO]FOS: MathematicsEnumerationlanguageDiscrete Mathematics and CombinatoricsMathematics - CombinatoricsCatalanCombinatorics (math.CO)Recursive decompositionBijection injection and surjectionMathematicsDescent (mathematics)Computer Science - Discrete Mathematics
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