2012
DOI: 10.1089/cmb.2012.0008
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Polynomial-Time Algorithms for Building a Consensus MUL-Tree

Abstract: A multi-labeled phylogenetic tree, or MUL-tree, is a generalization of a phylogenetic tree that allows each leaf label to be used many times. MUL-trees have applications in biogeography, the study of host-parasite cospeciation, gene evolution studies, and computer science. Here, we consider the problem of inferring a consensus MUL-tree that summarizes a given set of conflicting MUL-trees, and present the first polynomial-time algorithms for solving it. In particular, we give a straightforward, fast algorithm f… Show more

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Cited by 11 publications
(7 citation statements)
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“…One challenge will be to develop and integrate new methods to compute ancestral annotations combining the advantages of the nuanced outputs of the ML/Bayesian settings, and the overly stringent outputs of the joint and MAP methods, such as the recent decision theory-based PastML approach [12]. In the long-term, a next step will be to integrate statistical tools and information visualization methods to quickly identify robust evolutionary scenarios, such as a consensus of transition maps between different methods (tree computations, ancestral annotation inferences, see for instance [17]), or for more elaborated transition maps in the case of huge datasets. In the context of massive data, which are more are more common nowadays (e.g.…”
Section: Resultsmentioning
confidence: 99%
“…One challenge will be to develop and integrate new methods to compute ancestral annotations combining the advantages of the nuanced outputs of the ML/Bayesian settings, and the overly stringent outputs of the joint and MAP methods, such as the recent decision theory-based PastML approach [12]. In the long-term, a next step will be to integrate statistical tools and information visualization methods to quickly identify robust evolutionary scenarios, such as a consensus of transition maps between different methods (tree computations, ancestral annotation inferences, see for instance [17]), or for more elaborated transition maps in the case of huge datasets. In the context of massive data, which are more are more common nowadays (e.g.…”
Section: Resultsmentioning
confidence: 99%
“…Third, extensions of consensus trees to multi-labeled phylogenetic trees (MUL-trees), where the same leaf label may be used more than once in the same tree, were introduced by Lott et al [2009] and further studied in Cui et al [2012] and Huber et al [2012]. Here, a major obstacle is that MUL-trees' cluster collections are no longer sets but multisets, and certain basic problems become NP-hard when extended to multisets.…”
Section: Testingmentioning
confidence: 99%
“…Thirdly, extensions of consensus trees to multilabeled phylogenetic trees (MUL-trees), where the same leaf label may be used more than once in the same tree, were recently introduced by [15] and further studied in [6,12]. Here, a major obstacle is that MUL-trees' cluster collections are no longer sets but multisets, and certain basic problems become NP-hard when extended to multisets.…”
Section: Final Remarksmentioning
confidence: 99%