An algorithm for counting domino tilings of a rectangular chessboard

A recursive method is developed for counting domino tilings of a rectangular chessboard (the dimer problem). Based on this method, a new and enhanced recursive algorithm is proposed for solving this problem. Close connections with Fibonacci numbers are traced out.

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Publication Details

Journal
Journal of Algebra Combinatorics Discrete Structures and Applications
Published
2025-12-22
DOI
https://doi.org/10.13069/jacodesmath.v13i1.335
Primary Topic
Advanced Combinatorial Mathematics
Type
article
Field-Weighted Citation Impact
0.00

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article

An algorithm for counting domino tilings of a rectangular chessboard

А. М. Магомедов, Sharon Lawrence
Journal of Algebra Combinatorics Discrete Structures and Applications
Advanced Combinatorial Mathematics
article

An algorithm for counting domino tilings of a rectangular chessboard

А. М. Магомедов, Sharon Lawrence
article en

Abstract

A recursive method is developed for counting domino tilings of a rectangular chessboard (the dimer problem). Based on this method, a new and enhanced recursive algorithm is proposed for solving this problem. Close connections with Fibonacci numbers are traced out.

Journal of Algebra Combinatorics Discrete Structures and Applications
Dagestan State University (RU), Russian State University of Tourism and Service (RU)
University of Central Missouri
Openalex Percentile: Top 20%
Advanced Combinatorial Mathematics
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