Reconciling Gene Trees to a Species Tree
In this paper we deal with the general problem of recombining the information from evolutionary trees representing the relationships between distinct gene families. First we solve a problem from  regarding the construction of a minimum reconciled tree by giving an efficient algorithm. Then we show that the exemplar problem, arising from the exemplar analysis of multigene genomes , is NP-hard even when the number of copies of a given label is at most two. Finally we introduce two novel formulations for the problem of recombining evolutionary trees, extending the notion of the gene duplication problem studied in [88,11,9,10,6], and we give an exact algorithm (via dynamic programming) for one of the formulations given.
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