计算有界度进化树之间的四重奏距离

M. Stissing, Christian N. S. Pedersen, T. Mailund, G. Brodal, Rolf Fagerberg
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引用次数: 17

摘要

提出了一种在n个物种的公共集合上计算两个有界度进化树之间的四重奏距离的算法。先前的最佳算法在考虑树时的运行时间为O(d2n2),其中节点不超过d度。本文开发的算法的运行时间为O(d9n logn)),这使得它成为第一个计算具有次二次最坏情况运行时间的非二叉树之间的四维距离的算法。
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Computing the Quartet Distance Between Evolutionary Trees of Bounded Degree
We present an algorithm for calculating the quartet distance between two evolutionary trees of bounded degree on a common set of n species. The previous best algorithm has running time O(d2n2) when considering trees, where no node is of more than degree d. The algorithm developed herein has running time O(d9n logn)) which makes it the first algorithm for computing the quartet distance between non-binary trees which has a sub-quadratic worst case running time.
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