Symmetric Domino Tilings of Aztec Diamonds

	Symmetric Domino Tilings of Aztec Diamonds
Communications in Combinatorics and Optimization
مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 11 آبان 1405
نوع مقاله: Original paper
شناسه دیجیتال (DOI): 10.22049/cco.2026.30955.2679
نویسندگان
Pravakar Paul؛ Manjil P. Saikia^*
Mathematical and Physical Sciences division, School of Arts and Sciences, Ahmedabad University, Ahmedabad 380009, Gujarat, India
چکیده
In this paper, we give inductive sum formulas to calculate the number of diagonally symmetric, and diagonally \& anti-diagonally symmetric domino tilings of Aztec Diamonds. As a byproduct, we also find such a formula for the unrestricted case as well. Our proofs rely on a new technique for counting the number of perfect matchings of graphs, proposed by the authors recently.
کلیدواژه‌ها
Perfect matchings؛ domino tilings؛ Aztec diamonds

آمار تعداد مشاهده مقاله: 1

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