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
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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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