arXiv:2101.06753 Abstract | arXiv Analytics

arXiv:2101.06753 [math.CO]Abstract References Reviews Resources

The generating function of lozenge tilings for a "quarter" of a hexagon, obtained with non--intersecting lattice paths

Published 2021-01-17Version 1

In a recent preprint, Lai and Rohatgi compute the generating functions of lozenge tilings of "quartered hexagons with dents" by applying the method of "graphical condensation". The purpose of this note is to exhibit how (a generalization of) Theorems 2.1 and 2.2 in Lai and Rohatgi's preprint can be achieved by the Lindstr\"om--Gessel--Viennot method of non--intersecting lattice paths and a certain determinant evaluation.

Comments: arXiv admin note: text overlap with arXiv:2012.07168

Categories: math.CO

Keywords: non-intersecting lattice paths, lozenge tilings, generating function, determinant evaluation, rohatgis preprint

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