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- W2112553449 abstract "For a connected graph G = (V,E), a subset U ⊆ V is called a disconnected cut if U disconnects the graph and the subgraph induced by U is disconnected as well. We show that the problem to test whether a graph has a disconnected cut is NP-complete. This problem is polynomially equivalent to the following problems: testing if a graph has a 2K2-partition, testing if a graph allows a vertex-surjective homomorphism to the reflexive 4-cycle and testing if a graph has a spanning subgraph that consists of at most two bicliques. Hence, as an immediate consequence, these three decision problems are NP-complete as well. This settles an open problem frequently posed in each of the four settings." @default.
- W2112553449 created "2016-06-24" @default.
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- W2112553449 date "2011-01-01" @default.
- W2112553449 modified "2023-09-26" @default.
- W2112553449 title "The Computational Complexity of Disconnected Cut and 2K 2-Partition" @default.
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- W2112553449 doi "https://doi.org/10.1007/978-3-642-23786-7_43" @default.
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