On the Number of Maximal Independent Sets in a Graph

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On the number of maximal independent sets in a graph

Let G be a (simple, undirected, finite) graph. A set S ⊆ V (G) is independent if no edge of G has both its endpoints in S. An independent set S is maximal if no independent set of G properly contains S. Let MIS(G) be the set of all maximal independent sets in G. Miller and Muller (1960) and Moon and Moser (1965) independently proved that the maximum, taken over all n-vertex graphs G, of |MIS(G)...

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ژورنال

عنوان ژورنال: BRICS Report Series

سال: 2002

ISSN: 1601-5355,0909-0878

DOI: 10.7146/brics.v9i15.21733