Bayer, MargaretMilutinović, Marija JelićVega, Julianne2023-05-112023-05-112023-03-31Margaret 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.https://hdl.handle.net/1808/34162A (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.© 2023 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license.https://creativecommons.org/licenses/by-nc-nd/4.0Matching complexHomotopy typePolygonal tilingIndependence complexArticle10.1016/j.disc.2023.113428https://orcid.org/0000-0002-8519-5438openAccess