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  1. Home > Articles & Issues >
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  3. On the number of max ...
Article

On the number of maximal independent sets in a graph

David R. Wood ORCID (1)
(1) Department of Mathematics and Statistics [Melbourne]
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Imported on
August 16, 2011
Published on
September 9, 2011
Last modified on
March 31, 2025
Volume 13
vol. 13:3
Combinatorics
DOI
10.46298/dmtcs.543
License
https://about.hal.science/hal-authorisation-v1
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On the number of maximal independent sets in a graph

David R. Wood ORCID (1)
(1) Department of Mathematics and Statistics [Melbourne]
Abstract
Miller and Muller (1960) and independently Moon and Moser (1965) determined the maximum number of maximal independent sets in an n-vertex graph. We give a new and simple proof of this result.
Keywords
  • [INFO.INFO-DM]Computer Science [cs]/Discrete Mathematics [cs.DM]
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