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Graph partition into small cliques

✍ Scribed by Yan, Jin; Gao, Yunshu; Zhang, Beibei


Book ID
122808465
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
419 KB
Volume
162
Category
Article
ISSN
0166-218X

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πŸ“œ SIMILAR VOLUMES


Partitioning chordal graphs into indepen
✍ Pavol Hell; Sulamita Klein; Loana Tito Nogueira; FΓ‘bio Protti πŸ“‚ Article πŸ“… 2004 πŸ› Elsevier Science 🌐 English βš– 217 KB

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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Wallis, W.D. and J. Wu, On clique partitions of split graphs, Discrete Mathematics 92 (1991) 427-429. Split graphs are graphs formed by taking a complete graph and an empty graph disjoint from it and some or all of the possible edges joining the two. We prove that the problem of deciding the clique

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It is shown in this note that it can be recognized in polynomial time whether the vertex set of a finite undirected graph can be partitioned into one or two independent sets and one or two cliques. Such graphs generalize bipartite and split graphs and the result also shows that it can be recognized