An Extension of the Chvátal–Erdős Theorem: Counting the Number of Maximum Independent Sets
✍ Scribed by Chen, Guantao; Li, Yinkui; Ma, Haicheng; Wu, Tingzeng; Xiong, Liming
- Book ID
- 125345619
- Publisher
- Springer Japan
- Year
- 2014
- Tongue
- English
- Weight
- 264 KB
- Volume
- 31
- Category
- Article
- ISSN
- 0911-0119
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📜 SIMILAR VOLUMES
The necessary and su cient conditions are given for some stochastic process to be an empirical distribution function from some exchangeable random variables. The result is applied to establish sharp lower and upper bounds for order statistics based on possibly dependent random variables.
A subset of vertices is a maximum independent set if no two of the vertices are joined by an edge and the subset has maximum cardinality. In this paper we answer a question posed by Herb Wilf. We show that the greatest number of maximum independent sets for a tree of n vertices is 2(n-3\* for odd n