Domino tilings for augmented Aztec rectangles and their chains

Hyunggi Kim; Sangyop Lee; Seungsang Oh

doi:10.37236/8349

Domino tilings for augmented Aztec rectangles and their chains

Hyunggi Kim, Sangyop Lee, Seungsang Oh

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

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 language	English
Article number	P3.2
Journal	Electronic Journal of Combinatorics
Volume	26
Issue number	3
DOIs	https://doi.org/10.37236/8349
Publication status	Published - 2019

ASJC Scopus subject areas

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

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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.",

author = "Hyunggi Kim and Sangyop Lee and Seungsang Oh",

note = "Funding Information: ∗Supported by the National Research Foundation of Korea Grant funded by the Korean Government (NRF-2016R1D1A1B03935326). †The corresponding author was supported by the National Research Foundation of Korea(NRF) grant funded by the Korea government(MSIP) (No. NRF-2017R1A2B2007216).",

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AB - 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.

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Domino tilings for augmented Aztec rectangles and their chains

Abstract

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