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Characterization and recognition of -sparse graphs partitionable into independent sets and cliques

✍ Scribed by Raquel S.F. Bravo; Sulamita Klein; Loana Tito Nogueira; Fábio Protti


Book ID
108112905
Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
387 KB
Volume
159
Category
Article
ISSN
0166-218X

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Partitioning chordal graphs into indepen
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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

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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.