Pattern avoidance in inversion sequences

From MaRDI portal
Publication:2973219

DOI10.1515/puma-2015-0016zbMath1374.05019OpenAlexW2460079960WikidataQ60692681 ScholiaQ60692681MaRDI QIDQ2973219

Mark Shattuck, Toufik Mansour

Publication date: 31 March 2017

Published in: Pure Mathematics and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/puma-2015-0016




Related Items (39)

On pattern avoidance in matchings and involutionsGenerating Trees for 0021-Avoiding Inversion Sequences and a Conjecture of Hong and LiConsecutive patterns in inversion sequences II: avoiding patterns of relationsThe \(\gamma \)-positive coefficients arising in segmented permutationsWilf equivalences between vincular patterns in inversion sequencesPatterns in treeshelvesBijections for restricted inversion sequences and permutations with fixed pointsEquivalence of the descents statistic on some (4,4)-avoidance classes of permutationsOn Delannoy paths without peaks and valleysEnumeration of smooth inversion sequences and proof of a recent related conjectureA sextuple equidistribution arising in pattern avoidanceInversion sequences avoiding pairs of patternsRestricted inversion sequences and Schröder pathsFive classes of pattern avoiding inversion sequences under one roof: generating treesEnumerating five families of pattern-avoiding inversion sequences; and introducing the powered Catalan numbersOn 0012-avoiding inversion sequences and a conjecture of Lin and MaParameters in inversion sequencesInversion sequences avoiding a triple of patterns of 3 lettersAn algorithmic approach based on generating trees for enumerating pattern-avoiding inversion sequencesBurstein’s permutation conjecture, Hong and Li’s inversion sequence conjecture and restricted Eulerian distributionsCounting inversion sequences by parity successions and runsInversion sequences avoiding consecutive patternsPattern-avoiding inversion sequences and open partition diagramsUnnamed ItemA proof of Lin's conjecture on inversion sequences avoiding patterns of relation triplesOn \(\underline{12} 0\)-avoiding inversion and ascent sequencesRefined restricted inversion sequencesEnumeration of inversion sequences avoiding triples of relationsCatalan words avoiding pairs of length three patternsBijections for inversion sequences, ascent sequences and 3-nonnesting set partitionsStatistics on bargraphs of inversion sequences of permutationsPatterns of relation triples in inversion and ascent sequencesVincular patterns in inversion sequencesPatterns in Inversion Sequences II: Inversion Sequences Avoiding Triples of RelationsCombinatorics of the symmetries of ascents in restricted inversion sequencesStatistics on trapezoidal words and \(k\)-inversion sequencesFurther enumeration results concerning a recent equivalence of restricted inversion sequencesWeak ascent sequences and related combinatorial structuresLength-four pattern avoidance in inversion sequences


Uses Software



This page was built for publication: Pattern avoidance in inversion sequences