Daniel Birmajer ; Juan B. Gil ; David S. Kenepp ; Michael D. Weiner - Restricted generating trees for weak orderings

dmtcs:8350 - Discrete Mathematics & Theoretical Computer Science, March 21, 2022, vol. 24, no. 1 - https://doi.org/10.46298/dmtcs.8350
Restricted generating trees for weak orderingsArticle

Authors: Daniel Birmajer ORCID; Juan B. Gil ; David S. Kenepp ; Michael D. Weiner

Motivated by the study of pattern avoidance in the context of permutations and ordered partitions, we consider the enumeration of weak-ordering chains obtained as leaves of certain restricted rooted trees. A tree of order $n$ is generated by inserting a new variable into each node at every step. A node becomes a leaf either after $n$ steps or when a certain stopping condition is met. In this paper we focus on conditions of size 2 ($x=y$, $x

Comment: 16 pages. Final version

https://doi.org/10.46298/dmtcs.8350
Source: arXiv.org:2108.04302
Volume: vol. 24, no. 1
Section: Combinatorics
Published on: March 21, 2022
Accepted on: March 3, 2022
Submitted on: August 11, 2021
Keywords: Mathematics - Combinatorics, 05A18
Licence: arXiv.org - Non-exclusive license to distribute

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