## 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
โฆ LIBER โฆ
Extending the Balas-Yu bounds on the number of maximal independent sets in graphs to hypergraphs and lattices
โ 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
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Constraints on the number of maximal ind
โ
Jiuqiang Liu
๐
Article
๐
1994
๐
John Wiley and Sons
๐
English
โ 387 KB
๐ 2 views
The number of maximal independent sets i
โ
Zoltรกn Fรผredi
๐
Article
๐
1987
๐
John Wiley and Sons
๐
English
โ 286 KB
๐ 2 views
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,
On independence numbers of distance grap
โ
A. E. Guterman; V. K. Lyubimov; A. M. Raigorodskii; S. A. Usachev
๐
Article
๐
2010
๐
Springer US
๐
English
โ 274 KB