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A PTAS for the Weighted 2-Interval Pattern Problem over the Preceding-and-Crossing Model

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Book cover Combinatorial Optimization and Applications (COCOA 2007)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4616))

Abstract

The 2-Interval Pattern problem over its various models and restrictions was proposed by Vialette for RNA secondary structure prediction, and has attracted a lot of attention from the theoretical computer science community in recent years. In the framework of 2-intervals, the preceding-and-crossing model is an especially interesting model for RNA secondary structures with pseudoknots. In this paper, we present a polynomial time approximation scheme for the Weighted 2-Interval Pattern problem over the preceding-and-crossing model. Our algorithm improves the previous best 2-approximation algorithm, and closes this problem in terms of the approximation ratio.

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Andreas Dress Yinfeng Xu Binhai Zhu

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Jiang, M. (2007). A PTAS for the Weighted 2-Interval Pattern Problem over the Preceding-and-Crossing Model. In: Dress, A., Xu, Y., Zhu, B. (eds) Combinatorial Optimization and Applications. COCOA 2007. Lecture Notes in Computer Science, vol 4616. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-73556-4_39

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  • DOI: https://doi.org/10.1007/978-3-540-73556-4_39

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-73555-7

  • Online ISBN: 978-3-540-73556-4

  • eBook Packages: Computer ScienceComputer Science (R0)

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