Matching Complexes of Outerplanar Graphs
Combinatorics
2024-11-08 v1
Abstract
An outerplanar graph is a planar graph that has a planar drawing with all vertices on the unbounded face. The matching complex of a graph is the simplicial complex whose faces are subsets of disjoint edges of the graph. In this paper we prove that the matching complexes of outerplanar graphs are contractible or homotopy equivalent to a wedge of spheres. This extends known results about trees and polygonal line tilings.
Keywords
Cite
@article{arxiv.2411.04601,
title = {Matching Complexes of Outerplanar Graphs},
author = {Margaret Bayer and Marija Jelić Milutinović and Julianne Vega},
journal= {arXiv preprint arXiv:2411.04601},
year = {2024}
}