Enumeration of lozenge tilings of punctured hexagons
type: Item
instance of: scholarly article
title: Enumeration of lozenge tilings of punctured hexagons
zbMATH Open document ID: 0909.05019
author: Mihai Ciucu
published in: Journal of Combinatorial Theory. Series A
publication date: 1999-03-22T00:00:00Z
review text: The author finds the number of tilings by unit rhombi of a hexagon with sides \(a\), \(b+1\), \(b\), \(a+1\), \(b\), \(b+1\), all angles \(120^\circ\), and with the central unit triangle removed, reducing it to a product of numbers of self-complementary plane partitions [see \textit{R. P. Stanley}, J. Comb. Theory, Ser. A 43, 103-113 (1986; Zbl 0602.05007); and \textit{G. David} and \textit{C. Tomei}, Am. Math. Mon. 96, No. 5, 429-431 (1989; Zbl 0723.05037)].
reviewed by: Indulis Strazdins
Mathematics Subject Classification ID: 05B45
Mathematics Subject Classification ID: 05A15
zbMATH DE Number: 1212982
zbMATH Keywords: hexagon tiling
zbMATH Keywords: matchings
zbMATH Keywords: plane partitions
MaRDI profile type: Publication
OpenAlex ID: W1992294562
cites work: Enumeration of perfect matchings in graphs with reflective symmetry
cites work: The Problem of the Calissons
cites work: Minor summation formula of pfaffians and Schur function identities
cites work: The number of rhombus tilings of a ``punctured'' hexagon and the minor summation formula
cites work: Q4938474
cites work: Symmetries of plane partitions
DOI: 10.1006/JCTA.1997.2863
description: scientific article; zbMATH DE number 1212982