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20062025
most citedExact Sequences for the Homology of the Matching Complex

18 citations · 49 across the 9 of their papers we have counts for

collaborators

9 papers

math.NA2025

The Whitney method of fundamental solutions with Lusin wavelets

Jakob Jonsson, Andreas Rosén, Emil Timlin

We establish the theoretical foundation for a variant of the method of fundamental solutions (MFS), where the source points accumulate towards the domain in…

math.CO2018★ 7 cited

The exact chromatic number of the convex segment disjointness graph

Ruy Fabila-Monroy, Jakob Jonsson, Pavel Valtr +1

Let be a set of points in strictly convex position in the plane. Let be the graph whose vertex set is the set of all line segments with endpoints in , where disjoi…

math.CO2012★ 12 cited

More Torsion in the Homology of the Matching Complex

Jakob Jonsson

A matching on a set is a collection of pairwise disjoint subsets of of size two. Using computers, we analyze the integral homology of the matching complex , which is t…

math.CO2012★ 6 cited

Five-Torsion in the Homology of the Matching Complex on 14 Vertices

Jakob Jonsson

J. L. Andersen proved that there is 5-torsion in the bottom nonvanishing homology group of the simplicial complex of graphs of degree at most two on seven vertices. We use this res…

math.CO2012

On the 3-torsion Part of the Homology of the Chessboard Complex

Jakob Jonsson

Let . We prove various results about the chessboard complex , which is the simplicial complex of matchings in the complete bipartite graph . First,…

math.CO2012★ 18 cited

Exact Sequences for the Homology of the Matching Complex

Jakob Jonsson

Building on work by Bouc and by Shareshian and Wachs, we provide a toolbox of long exact sequences for the reduced simplicial homology of the matching complex , which is the s…