Optimal Agreement Supertrees

  • David Bryant
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 2066)


An agreement supertree of a collection of unrooted phylogenetic trees T 1, T 2,...,T k with leaf sets \( \mathcal{L}\left( {T_1 } \right),\mathcal{L}\left( {T_2 } \right),...,\mathcal{L}\left( {T_k } \right) \) is an unrooted tree T with leaf set \( \mathcal{L}\left( {T_1 } \right) \cup ... \cup \mathcal{L}\left( {T_k } \right) \) such that each tree T i is an induced subtree of T. In some cases, there may be no possible agreement supertrees of a set of trees, in other cases there may be exponentially many. We present polynomial time algorithms for computing an optimal agreement supertree, if one exists, of a bounded number of binary trees. The criteria of optimality can be one of four standard phylogenetic criteria: binary character compatibility; maximum summed quartet weight; ordinary least squares; and minimum evolution. The techniques can be used to search an exponentially large number of trees in polynomial time.


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© Springer-Verlag Berlin Heidelberg 2001

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  • David Bryant

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