Pattern Avoidance in Weak Ascent Sequences
Combinatorics
2024-09-04 v4
Abstract
In this paper, we study pattern avoidance in weak ascent sequences, giving some results for patterns of length 3. This is an analogous study to one given by Duncan and Steingr\'imsson (2011) for ascent sequences. More precisely, we provide systematically the generating functions for the number of weak ascent sequences avoiding the patterns , and . Additionally, we establish bijective connections between pattern-avoiding weak ascent sequences and other combinatorial objects, such as compositions, upper triangular 01-matrices, and plane trees.
Cite
@article{arxiv.2309.06518,
title = {Pattern Avoidance in Weak Ascent Sequences},
author = {Beáta Bényi and Toufik Mansour and José L. Ramírez},
journal= {arXiv preprint arXiv:2309.06518},
year = {2024}
}