Abstract
The Consensus String Problem is that of finding a string, such that the maximum Hamming distance from it to a given set of strings of the same length is minimized. However, a generalization is necessary for clustering. One needs to consider a partition into a number of sets, each with a distinct centerstring. In this paper we define two natural versions of the consensus problem for c centerstrings. We analyse the hardness and fixed parameter tractability of these problems and provide approximation algorithms.
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Amir, A., Ficler, J., Roditty, L., Shalom, O.S. (2014). On the Efficiency of the Hamming C-Centerstring Problems. In: Kulikov, A.S., Kuznetsov, S.O., Pevzner, P. (eds) Combinatorial Pattern Matching. CPM 2014. Lecture Notes in Computer Science, vol 8486. Springer, Cham. https://doi.org/10.1007/978-3-319-07566-2_1
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DOI: https://doi.org/10.1007/978-3-319-07566-2_1
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-07565-5
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