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- W2605696303 abstract "Scaffolding is one of the main stages in genome assembly. During this stage, we want to merge contigs assembled from the paired-end reads into bigger chains called scaffolds. For this purpose, the following graph-theoretical problem has been proposed: Given an edge-weighted complete graph G and a perfect matching D of G, we wish to find a Hamiltonian path P in G such that all edges of D appear in P and the total weight of edges in P but not in D is maximized. This problem is NP-hard and the previously best polynomial-time approximation algorithm for it achieves a ratio of 12. In this paper, we design a new polynomial-time approximation algorithm achieving a ratio of 5−5ϵ9−8ϵ for any constant 0<ϵ<1. Several generalizations of the problem have also been introduced in the literature and we present polynomial-time approximation algorithms for them that achieve better approximation ratios than the previous bests. In particular, one of the algorithms answers an open question." @default.
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- W2605696303 date "2018-07-01" @default.
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- W2605696303 title "Approximation algorithms for the scaffolding problem and its generalizations" @default.
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- W2605696303 doi "https://doi.org/10.1016/j.tcs.2017.03.042" @default.
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