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   <subfield code="a">Clemente, Jhoirene B.</subfield>
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   <subfield code="a">Reoptimization of the consensus pattern problem under pattern length modification</subfield>
   <subfield code="c">by Jhoirene B. Clemente, Proceso L. Fernandez Jr., Richelle Ann B. Juayong, Jasmine A. Malinao, Ivy D. Ordanel, and Henry N. Adorna.</subfield>
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   <subfield code="c">2019.</subfield>
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   <subfield code="a">pages 535-549</subfield>
   <subfield code="b">illustrations</subfield>
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   <subfield code="a">Includes bibliographical references (pages 547-549)</subfield>
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   <subfield code="a">In Bioinformatics, finding conserved regions in genomic sequences remains to be a challenge not just because of the increasing size of genomic data collected but because of the hardness of the combinatorial model of the problem. One problem formulation is called the Consensus Pattern Problem (CPP). Given a set of t n-length strings S = {S1,..., St} defined over some constant size alphabet Σ and an integer l, where l ≤ n, the objective of CPP is to find an l-length string v and a set of l-length substrings si of each Si in S such that the total sum of d(si, v) is minimized for all 1 ≤ i ≤ t. Here d(x, y) denotes the Hamming distance between the two strings x and y. It is known that CPP is NP-hard i.e., unless P = NP, there is no polynomial-time algorithm that produces an optimal solution for CPP. In this study, we investigate a combinatorial setting called reoptimization in finding an approximate solution for this problem. We seek to identify whether a specific additional information can help in solving CPP. Specifically, we deal with the following reoptimization scenario. Suppose we have an optimal l-length consensus substring of a given set of sequences S. How can this information be beneficial in obtaining an (l + k)-length and (l ? k)-length consensus for S? In this paper, we show that the reoptimization variant of the problem is still computationally hard even with k = 1. In response, we present four algorithms that make use of the given optimal solution ? we prove that the first three algorithms produce solutions with quality that is bounded from above by an additive error that grows as the parameter k increases, while the fourth algorithm achieves a guaranteed approximation ratio. It has been shown that there is no efficient polynomial-time approximation scheme for CPP (Boucher 2015). In this paper, we show that we can save (−(+)+)((+)) steps in computation from the original running time of the known polynomial-time approximation scheme for CPP. (Author's abstract)</subfield>
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   <subfield code="a">Computer science.</subfield>
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   <subfield code="a">Approximation.</subfield>
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   <subfield code="a">Consensus pattern.</subfield>
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   <subfield code="a">Reoptimization.</subfield>
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   <subfield code="a">Ordanel, Ivy D.</subfield>
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   <subfield code="a">Malinao, Jasmine A.</subfield>
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   <subfield code="a">Juayong, Richelle Ann B.</subfield>
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   <subfield code="a">Fernandez, Proceso L. Jr.</subfield>
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   <subfield code="a">Adorna, Henry N.</subfield>
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  <datafield tag="773" ind1="0" ind2=" ">
   <subfield code="a">The Philippine Journal of Science</subfield>
   <subfield code="g">Vol. 148, no. 3, September 2019.</subfield>
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   <subfield code="a">Request full-text access via UPB University Library through</subfield>
   <subfield code="u">https://forms.gle/KZjBv7aRtY6jiL5E9</subfield>
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   <subfield code="z">(viewed 24 March 2021)</subfield>
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