Opin vísindi

Enumerations of Permutations Simultaneously Avoiding a Vincular and a Covincular Pattern of Length 3

Skoða venjulega færslu

dc.contributor Háskólinn í Reykjavík
dc.contributor Reykjavik University
dc.contributor Háskóli Íslands
dc.contributor University of Iceland
dc.contributor.author Bean, Christian
dc.contributor.author Claesson, Anders
dc.contributor.author Úlfarsson, Henning Arnór
dc.date.accessioned 2018-01-24T14:21:00Z
dc.date.available 2018-01-24T14:21:00Z
dc.date.issued 2017
dc.identifier.citation Christian Bean , Anders Claesson , and Henning Ulfarsson. (2017). Enumerations of Permutations Simultaneously Avoiding a Vincular and a Covincular Pattern of Length 3, Journal of Integer Sequences, Vol. 20, article 17.7.6
dc.identifier.issn 1530-7638
dc.identifier.uri https://hdl.handle.net/20.500.11815/532
dc.description.abstract Vincular and covincular patterns are generalizations of classical patterns allowing restrictions on the indices and values of the occurrences in a permutation. In this paper we study the integer sequences arising as the enumerations of permutations simultaneously avoiding a vincular and a covincular pattern, both of length 3, with at most one restriction. We see familiar sequences, such as the Catalan and Motzkin numbers, but also some previously unknown sequences which have close links to other combinatorial objects such as lattice paths and integer partitions. Where possible we include a generating function for the enumeration. One of the cases considered settles a conjecture by Pudwell (2010) on the Wilf-equivalence of barred patterns. We also give an alternative proof of the classic result that permutations avoiding 123 are counted by the Catalan numbers.
dc.format.extent 17.7.6
dc.language.iso en
dc.publisher University of Waterloo
dc.relation.ispartofseries Journal of Integer Sequences;20
dc.rights info:eu-repo/semantics/openAccess
dc.subject Tölvunarfræði
dc.subject Stærðfræði
dc.title Enumerations of Permutations Simultaneously Avoiding a Vincular and a Covincular Pattern of Length 3
dc.type info:eu-repo/semantics/article
dc.description.version Peer Reviewed
dc.identifier.journal Journal of Integer Sequences
dc.relation.url https://cs.uwaterloo.ca/journals/JIS/VOL20/Bean/bean2.html
dc.contributor.department Raunvísindastofnun (HÍ)
dc.contributor.department Science Institute (UI)
dc.contributor.school Verkfræði- og náttúruvísindasvið (HÍ)
dc.contributor.school School of Engineering and Natural Sciences (UI)
dc.contributor.school Tölvunarfræðideild (HR)
dc.contributor.school School of Computer Science (RU)


Skrár

Þetta verk birtist í eftirfarandi safni/söfnum:

Skoða venjulega færslu