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- W2178503409 abstract "We study upper and lower bounds on the vertex-kernel size for the 3-HITTING SET problem on hypergraphs of degree at most 3, denoted 3-3-HS. We first show that, unless P = NP, 3-3-HS on 3-uniform hypergraphs does not have a vertex-kernel of size at most 35k/19 > 1.8421k. We then give a 4k - k 0.2692 vertex-kernel for 3-3-hs that is computable in time O(k 2 ). We do not assume that the hypergraph is 3-uniform for the vertex-kernel upper bound results. This result improves the upper bound of 4k on the vertex-kernel size for 3-3-HS, implied by the results of Wahlström." @default.
- W2178503409 created "2016-06-24" @default.
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- W2178503409 date "2015-05-25" @default.
- W2178503409 modified "2023-10-05" @default.
- W2178503409 title "3-Hitting set on bounded degree hypergraphs: Upper and lower bounds on the kernel size" @default.
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- W2178503409 doi "https://doi.org/10.1142/s1793830915500111" @default.
- W2178503409 hasPublicationYear "2015" @default.
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