Domino tilings for augmented Aztec rectangles and their chains

Hyunggi Kim, Sangyop Lee, Seung Sang Oh

Research output: Contribution to journalArticle

Abstract

Much work has been done to count the number of domino tilings for Aztec diamonds and augmented Aztec diamonds. Augmented Aztec rectangles and their chains are generalizations of these shapes. In this paper, we use Delannoy paths to count the number of domino tilings for these rectangles and their chains.

Original languageEnglish
Article numberP3.2
JournalElectronic Journal of Combinatorics
Volume26
Issue number3
Publication statusPublished - 2019 Jan 1

Fingerprint

Domino Tilings
Strombus or kite or diamond
Rectangle
Diamonds
Count
Path

ASJC Scopus subject areas

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

Cite this

Domino tilings for augmented Aztec rectangles and their chains. / Kim, Hyunggi; Lee, Sangyop; Oh, Seung Sang.

In: Electronic Journal of Combinatorics, Vol. 26, No. 3, P3.2, 01.01.2019.

Research output: Contribution to journalArticle

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