Parameterized complexity of the maximum independent set problem and the speed of hereditary properties
β Scribed by Vadim V. Lozin
- Book ID
- 108120703
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 185 KB
- Volume
- 34
- Category
- Article
- ISSN
- 1571-0653
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
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
In this paper we introduce the concept of a boundary class, which is a helpful tool for classiΓΏcation of hereditary classes of graphs according to the complexity of the independent set problem. It is shown that in a class X deΓΏned by a ΓΏnite set of forbidden induced subgraphs, the problem is NP-hard