NP-hardness results for partitioning graphs into disjoint cliques and a triangle-free subgraph
نویسندگان
چکیده
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.
منابع مشابه
The complexity of partitioning into disjoint cliques and a triangle-free graph
Motivated by Chudnovsky’s structure theorem of bull-free graphs, Abu-Khzam, Feghali, and Müller have recently proved that deciding if a graph has a vertex partition into disjoint cliques and a trianglefree graph is NP-complete for five graph classes. The problem is trivial for the intersection of these five classes. We prove that the problem is NP-complete for the intersection of two subsets of...
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ورودعنوان ژورنال:
- CoRR
دوره abs/1403.5248 شماره
صفحات -
تاریخ انتشار 2014