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Matching arc complexes: Connectedness and hyperbolicity

Matching arc complexes: connectedness and hyperbolicity
descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jun 2022Embargo end date: 01 Jan 2021 Spain English Publisher:Elsevier BVJournal:Expositiones Mathematicae, volume 40, pages 254-264 (issn: 0723-0869, Copyright policy )
Authors: Javier Aramayona; Rodrigo de Pool; Alejandro Fernández;

doi: 10.1016/j.exmath.2021.10.002 , 10.48550/arxiv.2108.05811

arXiv: 2108.05811

handle: 10261/289777

Matching arc complexes: Connectedness and hyperbolicity

Abstract

Addressing a question of Zaremsky, we give conditions on a finite simplicial graph which guarantee that the associated matching arc complex is connected and hyperbolic.

This note is part of R.d.P.'s Master Thesis at UAM-ICMAT, and of A.F.'s work within the JAE-Intro programme at CSIC. 10 pages, 2 figures

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Spain
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Keywords

Connectivity, hyperbolicity, Geometric Topology (math.GT), mapping class group, Group Theory (math.GR), matching arc complex, Mathematics - Geometric Topology, Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.), FOS: Mathematics, Mathematics - Combinatorics, 2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.), Combinatorics (math.CO), Geometric group theory, Mathematics - Group Theory

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selected citations
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This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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