A simple proof of the Aztec diamond theorem

Sen Peng Eu, Tung Shan Fu

Research output: Contribution to journalArticle

19 Citations (Scopus)

Abstract

Based on a bijection between domino tilings of an Aztec diamond and non-intersecting lattice paths, a simple proof of the Aztec diamond theorem is given by means of Hankel determinants of the large and small Schröder numbers.

Original languageEnglish
JournalElectronic Journal of Combinatorics
Volume12
Issue number1 R
DOIs
Publication statusPublished - 2005 Apr 20

Keywords

  • Aztec diamond
  • Domino tilings
  • Hankel matrices
  • Lattice paths
  • Schröder numbers

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Geometry and Topology
  • Discrete Mathematics and Combinatorics
  • Computational Theory and Mathematics
  • Applied Mathematics

Fingerprint Dive into the research topics of 'A simple proof of the Aztec diamond theorem'. Together they form a unique fingerprint.

  • Cite this