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General polygonal line tilings and their matching complexes
Bayer, Margaret Milutinović, Marija Jelić Vega, Julianne
Bayer, Margaret
Milutinović, Marija Jelić
Vega, Julianne
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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.
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Date
2023-03-31
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Elsevier
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Keywords
Matching complex, Homotopy type, Polygonal tiling, Independence complex
Citation
Margaret Bayer, Marija Jelić Milutinović, Julianne Vega, General polygonal line tilings and their matching complexes, Discrete Mathematics, Volume 346, Issue 7, 2023, 113428, ISSN 0012-365X, https://doi.org/10.1016/j.disc.2023.113428.