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- W1839731721 abstract "A graph $G$ is called well-covered if all maximal independent sets of vertices have the same cardinality. A simplicial complex $Delta$ is called pure if all of its facets have the same cardinality. Let $mathcal G$ be the class of graphs with some disjoint maximal cliques covering all vertices. In this paper, we prove that for any simplicial complex or any graph, there is a corresponding graph in class $mathcal G$ with the same well-coveredness property. Then some necessary and sufficient conditions are presented to recognize fast when a graph in the class $cal G$ is well-covered or not. To do this characterization, we use an algebraic interpretation according to zero-divisor elements of the edge rings of graphs." @default.
- W1839731721 created "2016-06-24" @default.
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- W1839731721 date "2011-04-23" @default.
- W1839731721 modified "2023-09-27" @default.
- W1839731721 title "Pure simplicial complexes and well-covered graphs" @default.
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