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The Exact Weighted Independent Set Problem in Perfect Graphs and Related Classes

✍ Scribed by Martin Milanič; Jérôme Monnot

Book ID
108120746
Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
191 KB
Volume
35
Category
Article
ISSN
1571-0653

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On easy and hard hereditary classes of g
On easy and hard hereditary classes of graphs with respect to the independent set problem
✍ Vladimir E. Alekseev 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 162 KB

In this paper we introduce the concept of a boundary class, which is a helpful tool for classiÿcation of hereditary classes of graphs according to the complexity of the independent set problem. It is shown that in a class X deÿned by a ÿnite set of forbidden induced subgraphs, the problem is NP-hard