A new proof for the number of lozenge tilings of quartered hexagons

Tri Lai

Research output: Contribution to journalArticle

8 Scopus citations

Abstract

It has been proven that the lozenge tilings of a quartered hexagon on the triangular lattice are enumerated by a simple product formula. In this paper we give a new proof for the tiling formula by using Kuo's graphical condensation. Our result generalizes a result of Proctor on enumeration of plane partitions contained in a "maximal staircase".

Original languageEnglish (US)
Pages (from-to)1866-1872
Number of pages7
JournalDiscrete Mathematics
Volume338
Issue number11
DOIs
StatePublished - Jun 6 2015

Keywords

  • Graphical condensation
  • Perfect matchings
  • Plane partitions
  • Tilings

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