A generalization of Aztec diamond theorem, part II

Tri Lai

Research output: Contribution to journalArticle

3 Scopus citations

Abstract

The author gave a proof of a generalization of the Aztec diamond theorem for a family of 4-vertex regions on the square lattice with southwest-to-northeast diagonals drawn in Lai (2014) by using a bijection between tilings and non-intersecting lattice paths. In this paper, we use Kuo graphical condensation to give a new proof.

Original languageEnglish (US)
Pages (from-to)1172-1179
Number of pages8
JournalDiscrete Mathematics
Volume339
Issue number3
DOIs
StatePublished - Mar 6 2016

Keywords

  • Aztec diamonds
  • Dual graph
  • Graphical condensation
  • Perfect matchings
  • Tilings

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