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General polygonal line tilings and their matching complexes
dc.contributor.author | Bayer, Margaret | |
dc.contributor.author | Milutinović, Marija Jelić | |
dc.contributor.author | Vega, Julianne | |
dc.date.accessioned | 2023-05-11T15:05:28Z | |
dc.date.available | 2023-05-11T15:05:28Z | |
dc.date.issued | 2023-03-31 | |
dc.identifier.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. | en_US |
dc.identifier.uri | https://hdl.handle.net/1808/34162 | |
dc.description.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. | en_US |
dc.publisher | Elsevier | en_US |
dc.rights | © 2023 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license. | en_US |
dc.rights.uri | https://creativecommons.org/licenses/by-nc-nd/4.0 | en_US |
dc.subject | Matching complex | en_US |
dc.subject | Homotopy type | en_US |
dc.subject | Polygonal tiling | en_US |
dc.subject | Independence complex | en_US |
dc.title | General polygonal line tilings and their matching complexes | en_US |
dc.type | Article | en_US |
kusw.kuauthor | Bayer, Margaret | |
kusw.kudepartment | Mathematics | en_US |
dc.identifier.doi | 10.1016/j.disc.2023.113428 | en_US |
dc.identifier.orcid | https://orcid.org/0000-0002-8519-5438 | en_US |
kusw.oaversion | Scholarly/refereed, publisher version | en_US |
kusw.oapolicy | This item meets KU Open Access policy criteria. | en_US |
dc.rights.accessrights | openAccess | en_US |