Enumerating two permutation classes by the number of cycles
We enumerate permutations in the two permutation classes $\text{Av}_n(312, 4321)$ and $\text{Av}_n(321, 4123)$ by the number of cycles each permutation admits. We also refine this enumeration with respect to several statistics.
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Discrete Mathematics & Theoretical Computer Science
2022-10-01
|
| Series: | Discrete Mathematics & Theoretical Computer Science |
| Subjects: | |
| Online Access: | https://dmtcs.episciences.org/6173/pdf |
| _version_ | 1797269998125711360 |
|---|---|
| author | Kassie Archer |
| author_facet | Kassie Archer |
| author_sort | Kassie Archer |
| collection | DOAJ |
| description | We enumerate permutations in the two permutation classes $\text{Av}_n(312,
4321)$ and $\text{Av}_n(321, 4123)$ by the number of cycles each permutation
admits. We also refine this enumeration with respect to several statistics. |
| first_indexed | 2024-03-11T21:31:42Z |
| format | Article |
| id | doaj.art-41b9edddd2c64142a730ad92eddd2185 |
| institution | Directory Open Access Journal |
| issn | 1365-8050 |
| language | English |
| last_indexed | 2024-04-25T01:57:16Z |
| publishDate | 2022-10-01 |
| publisher | Discrete Mathematics & Theoretical Computer Science |
| record_format | Article |
| series | Discrete Mathematics & Theoretical Computer Science |
| spelling | doaj.art-41b9edddd2c64142a730ad92eddd21852024-03-07T15:41:55ZengDiscrete Mathematics & Theoretical Computer ScienceDiscrete Mathematics & Theoretical Computer Science1365-80502022-10-01vol. 22 no. 2, Permutation...Special issues10.46298/dmtcs.61736173Enumerating two permutation classes by the number of cyclesKassie Archer0The University of Texas at Tyler, USAWe enumerate permutations in the two permutation classes $\text{Av}_n(312, 4321)$ and $\text{Av}_n(321, 4123)$ by the number of cycles each permutation admits. We also refine this enumeration with respect to several statistics.https://dmtcs.episciences.org/6173/pdfmathematics - combinatorics05a05, 05a15 |
| spellingShingle | Kassie Archer Enumerating two permutation classes by the number of cycles Discrete Mathematics & Theoretical Computer Science mathematics - combinatorics 05a05, 05a15 |
| title | Enumerating two permutation classes by the number of cycles |
| title_full | Enumerating two permutation classes by the number of cycles |
| title_fullStr | Enumerating two permutation classes by the number of cycles |
| title_full_unstemmed | Enumerating two permutation classes by the number of cycles |
| title_short | Enumerating two permutation classes by the number of cycles |
| title_sort | enumerating two permutation classes by the number of cycles |
| topic | mathematics - combinatorics 05a05, 05a15 |
| url | https://dmtcs.episciences.org/6173/pdf |
| work_keys_str_mv | AT kassiearcher enumeratingtwopermutationclassesbythenumberofcycles |