Premium
MANIFOLD MATCHING COMPLEXES
Author(s) -
Bayer Margaret,
Goeckner Bennet,
Jelić Milutinović Marija
Publication year - 2020
Publication title -
mathematika
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.955
H-Index - 29
eISSN - 2041-7942
pISSN - 0025-5793
DOI - 10.1112/mtk.12049
Subject(s) - mathematics , simplicial complex , combinatorics , simplicial manifold , graph , vertex (graph theory) , simplicial homology , abstract simplicial complex , matching (statistics) , homology (biology) , topology (electrical circuits) , pure mathematics , simplicial set , biochemistry , statistics , chemistry , homotopy , homotopy category , gene
The matching complex of a graph is the simplicial complex whose vertex set is the set of edges of the graph with a face for each independent set of edges. In this paper, we completely characterize the pairs (graph, matching complex) for which the matching complex is a homology manifold, with or without boundary. Except in dimension two, all of these manifolds are spheres or balls.