Lozenge tilings of a hexagon with a horizontal intrusion
Combinatorics
2022-07-01 v4
Abstract
Motivated by a conjecture posed by Fulmek and Krattenthaler, we provide product formulas for the number of lozenge tilings of a semiregular hexagon containing a horizontal intrusion. As a direct corollary, we obtain a product formula for the number of boxed plane partitions with a certain restriction. We also investigate the asymptotic behavior of the ratio between the number of lozenge tilings of a semiregular hexagon containing a horizontal intrusion and that of a semiregular hexagon without an intrusion.
Keywords
Cite
@article{arxiv.2104.01515,
title = {Lozenge tilings of a hexagon with a horizontal intrusion},
author = {Seok Hyun Byun},
journal= {arXiv preprint arXiv:2104.01515},
year = {2022}
}
Comments
23 pages, 15 figures, fix some typos. Any comments would be appreciated!