18 citations · 49 across the 9 of their papers we have counts for
4 papers · 1 filter
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…
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…
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,…
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…