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A Polynomial Time Approximation Scheme for the Closest Shared Center Problem

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Abstract

Mutation region detection is the first step of searching for a disease gene and has facilitated the identification of several hundred human genes that can harbor mutations leading to a disease phenotype. Recently, the closest shared center problem (CSC) was proposed as a core to solve the mutation region detection problem when the pedigree is not given (Ma et al. in IEEE ACM Trans Comput Biol Bioinform 9(2):372–384, 2012). A ratio-2 approximation algorithm was proposed for the CSC problem in Ma et al. (IEEE ACM Trans Comput Biol Bioinform 9(2):372–384, 2012). In this paper, we will design a polynomial time approximation scheme for this problem.

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Acknowledgments

The work is fully supported by a grant from the Research Grants Council of the Hong Kong Special Administrative Region, China (Project No. CityU 122511), a grant from City University of Hong Kong (Project No. 9610025) and a grant from National Science Foundation of China (Project No. NSFC 61373048).

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Authors and Affiliations

  1. Department of Atmospheric Science, Yunnan University, Kunming, People’s Republic of China

    Weidong Li

  2. Department of Computer Science, City University of Hong Kong, Tat Chee Avenue, Kowloon, Hong Kong

    Lusheng Wang & Wenjuan Cui

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  1. Weidong Li
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  2. Lusheng Wang
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  3. Wenjuan Cui
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Correspondence to Lusheng Wang.

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Li, W., Wang, L. & Cui, W. A Polynomial Time Approximation Scheme for the Closest Shared Center Problem. Algorithmica 77, 65–83 (2017). https://doi.org/10.1007/s00453-015-0057-z

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  • DOI: https://doi.org/10.1007/s00453-015-0057-z

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