From tiling to matching: exploring Fibonacci cube structures

Németh, László (2025) From tiling to matching: exploring Fibonacci cube structures. DIMENZIÓK: MATEMATIKAI KÖZLEMÉNYEK, 13 (13). pp. 55-62. ISSN 2064-2172

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Abstract

Several articles deal with tilings with various shapes, and also a very frequent type of combinatorics is to examine the Fibonacci cube graph and its generalizations. We combine these two things. In our note, we give a one-to-one contention between the Fibonacci tilings and vertices of the Fibonacci cubes. We define a clear adjacency between the tiles of the same type, which gives us the edges of the corresponding graph. In addition, we present examples of the relationship between perfect matchings of zigzag hexagonal chains and Fibonacci cube.

Tudományterület / tudományág

natural sciences > mathematics and computer sciences

Faculty

Not relevant

Institution

Soproni Egyetem

Item Type:	Article
SWORD Depositor:	Teszt Sword
Depositing User:	Csaba Horváth
Identification Number:	MTMT:36481435
Date Deposited:	12 Dec 2025 10:28
Last Modified:	12 Dec 2025 10:28
URI:	http://publicatio.uni-sopron.hu/id/eprint/3848

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