有界度最接近系统发育二根问题的近似算法

Md. Ahsanur Rahman, Md. Rafiqul Islam
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引用次数: 0

摘要

度Δ-closest系统发育二根问题(ΔCPR2)是一个NP-hard问题,涉及从表示有关物种相似性的图中重建系统发育树。在这里,我们提出了一个近似算法对于任何固定Δ > 3的问题。当|V| > 3Δ−1时,我们的算法产生max((Δ−2)/α, 2)的近似比率,其中α > 1是一个常数,其值取决于|V|和Δ的值。
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An approximation algorithm for bounded degree closest phylogenetic 2nd root problem
The degree Δ-closest phylogenetic 2nd root problem (ΔCPR2) is an NP-hard problem concerning phylogenetic tree reconstruction from a graph representing the similarities of the species concerned. Here we present an approximation algorithm for this problem for any fixed Δ > 3. When |V| > 3Δ − 1, our algorithm yields an approximation ratio of max((Δ−2)/α, 2), where α > 1 is a constant whose value depends on the values of |V| and Δ.
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