Please use this identifier to cite or link to this item: https://research.matf.bg.ac.rs/handle/123456789/1392
Title: General polygonal line tilings and their matching complexes
Authors: Bayer, Margaret
Jelić Milutinović, Marija 
Vega, Julianne
Affiliations: Topology 
Keywords: Homotopy type;Independence complex;Matching complex;Polygonal tiling
Issue Date: 1-Jul-2023
Rank: M22
Publisher: Elsevier
Journal: Discrete Mathematics
Abstract: 
A (general) polygonal line tiling is a graph formed by a string of cycles, each intersecting the previous at an edge, no three intersecting. In 2022, Matsushita proved the matching complex of a certain type of polygonal line tiling with even cycles is homotopy equivalent to a wedge of spheres. In this paper, we extend Matsushita's work to include a larger family of graphs and carry out a closer analysis of lines of triangles and pentagons, where the Fibonacci numbers arise.
URI: https://research.matf.bg.ac.rs/handle/123456789/1392
ISSN: 0012365X
DOI: 10.1016/j.disc.2023.113428
Rights: Attribution-NonCommercial-NoDerivs 3.0 United States
Appears in Collections:Research outputs

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