Enumeration of Dumont permutations avoiding certain four-letter patterns
In this paper, we enumerate Dumont permutations of the fourth kind avoiding or containing certain permutations of length 4. We also conjecture a Wilf-equivalence of two 4-letter patterns on Dumont permutations of the first kind.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Discrete Mathematics & Theoretical Computer Science
2021-07-01
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| Series: | Discrete Mathematics & Theoretical Computer Science |
| Subjects: | |
| Online Access: | https://dmtcs.episciences.org/6174/pdf |
| _version_ | 1797270030335868928 |
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| author | Alexander Burstein Opel Jones |
| author_facet | Alexander Burstein Opel Jones |
| author_sort | Alexander Burstein |
| collection | DOAJ |
| description | In this paper, we enumerate Dumont permutations of the fourth kind avoiding
or containing certain permutations of length 4. We also conjecture a
Wilf-equivalence of two 4-letter patterns on Dumont permutations of the first
kind. |
| first_indexed | 2024-03-11T21:32:06Z |
| format | Article |
| id | doaj.art-beae7a97fd0a4e9899ee9c3486c18bcf |
| institution | Directory Open Access Journal |
| issn | 1365-8050 |
| language | English |
| last_indexed | 2024-04-25T01:57:47Z |
| publishDate | 2021-07-01 |
| publisher | Discrete Mathematics & Theoretical Computer Science |
| record_format | Article |
| series | Discrete Mathematics & Theoretical Computer Science |
| spelling | doaj.art-beae7a97fd0a4e9899ee9c3486c18bcf2024-03-07T15:41:55ZengDiscrete Mathematics & Theoretical Computer ScienceDiscrete Mathematics & Theoretical Computer Science1365-80502021-07-01vol. 22 no. 2, Permutation...Special issues10.46298/dmtcs.61746174Enumeration of Dumont permutations avoiding certain four-letter patternsAlexander BursteinOpel JonesIn this paper, we enumerate Dumont permutations of the fourth kind avoiding or containing certain permutations of length 4. We also conjecture a Wilf-equivalence of two 4-letter patterns on Dumont permutations of the first kind.https://dmtcs.episciences.org/6174/pdfmathematics - combinatorics05a05, 05a15 |
| spellingShingle | Alexander Burstein Opel Jones Enumeration of Dumont permutations avoiding certain four-letter patterns Discrete Mathematics & Theoretical Computer Science mathematics - combinatorics 05a05, 05a15 |
| title | Enumeration of Dumont permutations avoiding certain four-letter patterns |
| title_full | Enumeration of Dumont permutations avoiding certain four-letter patterns |
| title_fullStr | Enumeration of Dumont permutations avoiding certain four-letter patterns |
| title_full_unstemmed | Enumeration of Dumont permutations avoiding certain four-letter patterns |
| title_short | Enumeration of Dumont permutations avoiding certain four-letter patterns |
| title_sort | enumeration of dumont permutations avoiding certain four letter patterns |
| topic | mathematics - combinatorics 05a05, 05a15 |
| url | https://dmtcs.episciences.org/6174/pdf |
| work_keys_str_mv | AT alexanderburstein enumerationofdumontpermutationsavoidingcertainfourletterpatterns AT opeljones enumerationofdumontpermutationsavoidingcertainfourletterpatterns |