NP-hardness results for partitioning graphs into disjoint cliques and a triangle-free subgraph
This paper investigates the computational complexity of deciding whether the vertices of a graph can be partitioned into a disjoint union of cliques and a triangle-free subgraph. This problem is known to be NP-complete on arbitrary graphs. We show that this problem remains NP-complete even when rest...
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| Format: | article |
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2014
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| Online Access: | http://hdl.handle.net/10725/7595 http://libraries.lau.edu.lb/research/laur/terms-of-use/articles.php https://pdfs.semanticscholar.org/be27/7d8d21b644a768c443fe5553033ef879623f.pdf |
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| Summary: | This paper investigates the computational complexity of deciding whether the vertices of a graph can be partitioned into a disjoint union of cliques and a triangle-free subgraph. This problem is known to be NP-complete on arbitrary graphs. We show that this problem remains NP-complete even when restricted to planar graphs and perfect graphs. |
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