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Given a graph G=(V,E) and a positive integer k, the partition into cliques (pic) decision problem consists of deciding whether there exists a partition of V into k disjoint subsets V1,V2,…,Vk such that the subgraph induced by each part Vi is a complete subgraph (clique) of G. In this paper, we establish both the NP-completeness of pic for planar cubic graphs and the Max SNP-hardness of pic for cubic...
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