General polygonal line tilings and their matching complexes
Combinatorics
2023-03-13 v2
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 triangle and pentagons, where the Fibonacci numbers arise.
Keywords
Cite
@article{arxiv.2211.12559,
title = {General polygonal line tilings and their matching complexes},
author = {Margaret Bayer and Marija Jelić Milutinović and Julianne Vega},
journal= {arXiv preprint arXiv:2211.12559},
year = {2023}
}
Comments
22 pages, minor editing