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Showing papers by "Wing-Kin Sung published in 1996"


Book ChapterDOI
03 Jul 1996
TL;DR: This paper presents the first sub-quadratic time algorithm for the Unrooted Maximum Agreement Subtree (UMAST) problem, which aims to compute the largest subset B of A such that the subtrees of T and T' induced by B are isomorphic.
Abstract: This paper presents the first sub-quadratic time algorithm for the Unrooted Maximum Agreement Subtree (UMAST) problem: Given a set A of n items (e.g., species) and two unrooted trees T and T, each with {otn} leaves uniquely labeled by the items of A, we want to compute the largest subset B of A such that the subtrees of T and T' induced by B are isomorphic. The UMAST problem is closely related to some problems in biology, in particular, the one of finding the consensus between evolutionary trees (or phylogenies) of a set of species. The previous best algorithm for the UMAST problem requires time O(n2+o(1)) [5]; the algorithm in this paper improves the time bound to O(n1.75+o(1)). The rooted version of this problem has also attracted a lot of attention; the time complexity has recently been improved from O(n2) [5] to O(n1-5 log {otn}) [6].

18 citations


Journal Article
TL;DR: In this article, an O(n1.75+o(1)) time algorithm for the unrooted maximum agreement subtree (UMAST) problem is presented. But the algorithm is not applicable to the problem of finding the consensus between evolutionary trees (or phylogenies) of a set of species.
Abstract: This paper presents an O(n1.75+o(1)) time algorithm for the Unrooted Maximum Agreement Subtree (UMAST) problem: Given a set A of n items (e.g. species) and two unrooted trees T and T', each with n leaves uniquely labeled by the items of A, we want to compute the largest subset B of A such that the subtrees of T and T' induced by B are isomorphic. The UMAST problem is closely related to some problems in biology, in particular, the one of finding the consensus between evolutionary trees (or phylogenies) of a set of species.

2 citations