A characterization of two-dimensional Buchsbaum matching complexes (Q2692175)
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scientific article; zbMATH DE number 7666313
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A characterization of two-dimensional Buchsbaum matching complexes |
scientific article; zbMATH DE number 7666313 |
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A characterization of two-dimensional Buchsbaum matching complexes (English)
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21 March 2023
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Summary: The matching complex \(M(G)\) of a graph \(G\) is the set of all matchings in \(G\). A Buchsbaum simplicial complex is a generalization of both a homology manifold and a Cohen-Macaulay complex. We give a complete characterization of the graphs \(G\) for which \(M(G)\) is a two-dimensional Buchsbaum complex. As an intermediate step, we determine which graphs have matching complexes that are themselves connected graphs.
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