An On(log n) algorithm for the maximum agreement subtree problem for binary trees

Cole, Richard ; Farach-Colton, Martin ; Hariharan, Ramesh ; Przytycka, Teresa ; Thorup, Mikkel (2000) An On(log n) algorithm for the maximum agreement subtree problem for binary trees SIAM Journal on Computing, 30 (5). pp. 1385-1404. ISSN 0097-5397

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Official URL: http://epubs.siam.org/doi/abs/10.1137/S00975397963...

Related URL: http://dx.doi.org/10.1137/S0097539796313477

Abstract

The maximum agreement subtree problem is the following. Given two rooted trees whose leaves are drawn from the same set of items (e.g. species), find the largest subset of these items so that the portions of the two trees restricted to these items are isomorphic. We consider the case which occurs frequently in practice, i.e. the case when the trees are binary and give an O (nlog n) time algorithm for this problem.

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