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A Lookahead Branch-and-Bound Algorithm for the Maximum Quartet Consistency Problem

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Algorithms in Bioinformatics (WABI 2005)

Part of the book series: Lecture Notes in Computer Science ((LNBI,volume 3692))

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Abstract

A lookahead branch-and-bound algorithm (LBnB) is proposed for solving the Maximum Quartet Consistency (MQC) Problem where the input is a complete set of quartets on the taxa and the goal is to construct a phylogeny that satisfies the maximum number of given quartets. It integrates a number of previous efforts on exact algorithms, heuristics, and approximation algorithms for the NP-hard MQC problem, and a few improved search techniques, especially a lookahead scheme, to solve the problem optimally. The theoretical running time analysis of the LBnB algorithm is provided, and an extensive simulation study has been well designed to compare the algorithm to previous existing exact algorithms and a best heuristic Hypercleaning. The experimental results on both synthetic and real datasets show that LBnB outperformed other exact algorithms, and it was competitive to Hypercleaning on many datasets.

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© 2005 Springer-Verlag Berlin Heidelberg

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Wu, G., You, JH., Lin, G. (2005). A Lookahead Branch-and-Bound Algorithm for the Maximum Quartet Consistency Problem. In: Casadio, R., Myers, G. (eds) Algorithms in Bioinformatics. WABI 2005. Lecture Notes in Computer Science(), vol 3692. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11557067_6

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  • DOI: https://doi.org/10.1007/11557067_6

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-29008-7

  • Online ISBN: 978-3-540-31812-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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