Approximation algorithms for clique-transversal sets and clique-independent sets in cubic graphs
β Scribed by Zuosong Liang; Erfang Shan
- Book ID
- 113663251
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 133 KB
- Volume
- 111
- Category
- Article
- ISSN
- 0020-0190
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π SIMILAR VOLUMES
Andreae, T., M. Schughart and Z. Tuza, Clique-transversal sets of line graphs and complements of line graphs, Discrete Mathematics 88 (1991) 11-20. A clique-transversal set T of a graph G is a set of vertices of G such that T meets all maximal cliques of G. The clique-transversal number, denoted t,(
We consider the following generalization of split graphs: A graph is said to be a (k; ')-graph if its vertex set can be partitioned into k independent sets and ' cliques. (Split graphs are obtained by setting k = ' = 1.) Much of the appeal of split graphs is due to the fact that they are chordal, a
This paper introduces two kinds of graph polynomials, clique polynomial and independent set polynomial. The paper focuses on expansions of these polynomials. Some open problems are mentioned.