Abstract
Given a set of n taxa S, exactly one topology for every subset of four taxa, and a positive integer k as the parameter, the parameterized Minimum Quartet Inconsistency (MQI) problem is to decide whether we can find an evolutionary tree inducing a set of quartet topologies that differs from the given set in at most k quartet topologies. The best fixed-parameter algorithm devised so far for the parameterized MQI problem runs in time O(4k n + n 4). In this paper, first we present an O(3.0446k n + n 4) algorithm and an O(2.0162k n 3 + n 5) algorithm. Finally, we give an O *((1 + ε)k) algorithm with an arbitrarily small constant ε> 0.
This research was supported by NSC-DAAD Sandwich Program and partially supported by the National Science Council of Taiwan under grant no. NSC 96-2221-E-194-045-MY3, and was carried out at RWTH Aachen University, Germany.
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Chang, MS., Lin, CC., Rossmanith, P. (2008). New Fixed-Parameter Algorithms for the Minimum Quartet Inconsistency Problem. In: Grohe, M., Niedermeier, R. (eds) Parameterized and Exact Computation. IWPEC 2008. Lecture Notes in Computer Science, vol 5018. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-79723-4_8
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DOI: https://doi.org/10.1007/978-3-540-79723-4_8
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