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Extending the Balas-Yu bounds on the number of maximal independent sets in graphs to hypergraphs and lattices

โœ Scribed by Endre Boros; Khaled Elbassioni; Vladimir Gurvich; Leonid Khachiyan


Publisher
Springer-Verlag
Year
2003
Tongue
English
Weight
191 KB
Volume
98
Category
Article
ISSN
0025-5610

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๐Ÿ“œ SIMILAR VOLUMES


Constraints on the number of maximal ind
โœ Jiuqiang Liu ๐Ÿ“‚ Article ๐Ÿ“… 1994 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 387 KB ๐Ÿ‘ 2 views

## Abstract A maximal independent set of a graph __G__ is an independent set that is not contained properly in any other independent set of __G__. Let __i(G)__ denote the number of maximal independent sets of __G__. Here, we prove two conjectures, suggested by P. Erdรถs, that the maximum number of m

The number of maximal independent sets i
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Generalizing a theorem of Moon and Moser. we determine the maximum number of maximal independent sets in a connected graph on n vertices for n sufficiently large, e.g., n > 50. = I .32. . .). Example 1.2. Let b, = i(C,), where C,z denotes the circuit of length n. Then b, = 3, 6, = 2, b, = 5, and b,