MANIFOLD MATCHING COMPLEXES
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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 sphere or balls.
43 pages, 32 figures Version 2 added a reference. Version 2 extends the theorems by weakening the hypotheses from combinatorial to homology manifolds, but shows the manifolds that occur are all combinatorial
- University of Kansas United States
- University of Mary United States
- University of Belgrade Serbia
- University of Washington United States
Simplicial sets and complexes in algebraic topology, Combinatorial aspects of simplicial complexes, homology manifolds, combinatorial balls, 05C70 (Primary) 57M15 (Secondary), Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.), FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), Relations of low-dimensional topology with graph theory
Simplicial sets and complexes in algebraic topology, Combinatorial aspects of simplicial complexes, homology manifolds, combinatorial balls, 05C70 (Primary) 57M15 (Secondary), Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.), FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), Relations of low-dimensional topology with graph theory
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