TL;DR
This paper generalizes previous formulas for counting lozenge tilings of hexagonal regions with intrusions, expanding the understanding of tiling enumeration in damaged hexagons.
Contribution
It extends Byun's work by providing broader formulas for tilings of hexagons with various intrusions, advancing combinatorial tiling enumeration methods.
Findings
Generalized tiling enumeration formulas
Broader class of damaged hexagon regions analyzed
Enhanced combinatorial understanding of tilings
Abstract
In a recent paper, Byun presented nice formulas for the enumeration of lozenge tilings of certain hexagonal regions with intrusions. This paper attempts to generalise some of Byun's investigations.
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Taxonomy
TopicsAdvanced Combinatorial Mathematics · Graph theory and applications · graph theory and CDMA systems