Staircases, dominoes, and the growth rate of 1324-avoiders

Tools

Bevan, David and Brignall, Robert and Elvey Price, Andrew and Pantone, Jay (2017) Staircases, dominoes, and the growth rate of 1324-avoiders. Electronic Notes in Discrete Mathematics, 61. 123–129. ISSN 1571-0653 (https://doi.org/10.1016/j.endm.2017.06.029)

[thumbnail of Bevan-etal-ENDM-2017-Staircases-dominoes-and-the-growth-rate-of-1324-avoiders]
Preview
 Text. Filename: Bevan_etal_ENDM_2017_Staircases_dominoes_and_the_growth_rate_of_1324_avoiders.pdf
Accepted Author Manuscript
License: Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 logo
Download (110kB)| Preview

Abstract

We establish a lower bound of 10.24 for the growth rate of the permutations avoiding 1324, and an upper bound of 13.5. This is done by first finding the precise growth rate of a subclass whose enumeration is related to West-2-stack-sortable permutations, and then combining copies of this subclass in particular ways.

ORCID iDs

Bevan, David ORCID logoORCID: https://orcid.org/0000-0001-7179-2285, Brignall, Robert, Elvey Price, Andrew and Pantone, Jay;
CORE (COnnecting REpositories)