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General polygonal line tilings and their matching complexes

dc.contributor.authorBayer, Margaret
dc.contributor.authorMilutinović, Marija Jelić
dc.contributor.authorVega, Julianne
dc.date.accessioned2023-05-11T15:05:28Z
dc.date.available2023-05-11T15:05:28Z
dc.date.issued2023-03-31
dc.identifier.citationMargaret 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.urihttps://hdl.handle.net/1808/34162
dc.description.abstractA (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.publisherElsevieren_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.urihttps://creativecommons.org/licenses/by-nc-nd/4.0en_US
dc.subjectMatching complexen_US
dc.subjectHomotopy typeen_US
dc.subjectPolygonal tilingen_US
dc.subjectIndependence complexen_US
dc.titleGeneral polygonal line tilings and their matching complexesen_US
dc.typeArticleen_US
kusw.kuauthorBayer, Margaret
kusw.kudepartmentMathematicsen_US
dc.identifier.doi10.1016/j.disc.2023.113428en_US
dc.identifier.orcidhttps://orcid.org/0000-0002-8519-5438en_US
kusw.oaversionScholarly/refereed, publisher versionen_US
kusw.oapolicyThis item meets KU Open Access policy criteria.en_US
dc.rights.accessrightsopenAccessen_US


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© 2023 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license.
Except where otherwise noted, this item's license is described as: © 2023 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license.