# The number of maximal independent sets in a connected graph

```@article{Griggs1988TheNO,
title={The number of maximal independent sets in a connected graph},
author={J. R. Griggs and Charles M. Grinstead and D. Guichard},
journal={Discret. Math.},
year={1988},
volume={68},
pages={211-220}
}```
• Published 1988
• Computer Science, Mathematics
• Discret. Math.
Abstract We determine the maximum number of maximal independent sets which a connected graph on n vertices can have, and we completely characterize the extremal graphs, thereby answering a question of Wilf.
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