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Avoiding a pair of patterns in multisets and compositions

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F22%3A10436723" target="_blank" >RIV/00216208:11320/22:10436723 - isvavai.cz</a>

  • Result on the web

    <a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=L5zz~CgEKZ" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=L5zz~CgEKZ</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1016/j.aam.2021.102286" target="_blank" >10.1016/j.aam.2021.102286</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Avoiding a pair of patterns in multisets and compositions

  • Original language description

    In this paper, we study the Wilf-type equivalence relations among multiset permutations. We identify all multiset equivalences among pairs of patterns consisting of a pattern of length three and another pattern of length at most four. To establish our results, we make use of a variety of techniques, including Ferrers-equivalence arguments, sorting by minimal/maximal letters, analysis of active sites and direct bijections. In several cases, our arguments may be extended to prove multiset equivalences for infinite families of pattern pairs. Our results apply equally well to the Wilf-type classification of compositions, and as a consequence, we obtain a complete description of the Wilf-equivalence classes for pairs of patterns of type (3, 3) and (3, 4) on compositions, with the possible exception of two classes of type (3, 4).

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

Result continuities

  • Project

    <a href="/en/project/GA18-19158S" target="_blank" >GA18-19158S: Algorithmic, structural and complexity aspects of geometric and other configurations</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2022

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Advances in Applied Mathematics

  • ISSN

    0196-8858

  • e-ISSN

    1090-2074

  • Volume of the periodical

    133

  • Issue of the periodical within the volume

    February 2022

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    32

  • Pages from-to

    102286

  • UT code for WoS article

    000722146600002

  • EID of the result in the Scopus database

    2-s2.0-85118897223