Abstract
Given a set S, two collections C r and C b of non-empty subsets of S and a positive integer k < |S|, the minimum degree hypergraph (MDH) problem is to find a subset S′ of S such that S′ ∩ B ≠ ∅ for all B ∈ C b and |S′ ∩ R | ≤ k for all R ∈ C r . This paper presents a linear-time algorithm for the MDH problem with C r ∪ C b having the consecutive ones property. The presented algorithm improves the previous upper bound from O(|S|2).
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Li, CH., Ye, JH., Wang, BF. (2013). A Linear-Time Algorithm for the Minimum Degree Hypergraph Problem with the Consecutive Ones Property. In: Du, DZ., Zhang, G. (eds) Computing and Combinatorics. COCOON 2013. Lecture Notes in Computer Science, vol 7936. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-38768-5_25
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DOI: https://doi.org/10.1007/978-3-642-38768-5_25
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