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    Chapter and Conference Paper

    Characterizing Compatibility and Agreement of Unrooted Trees via Cuts in Graphs

    Deciding whether there is a single tree —a supertree— that summarizes the evolutionary information in a collection of unrooted trees is a fundamental problem in phylogenetics. We consider two versions of this ...

    Sudheer Vakati, David Fernández-Baca in Algorithms in Bioinformatics (2013)

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    Chapter and Conference Paper

    Improved Lower Bounds on the Compatibility of Quartets, Triplets, and Multi-state Characters

    We study a long standing conjecture on the necessary and sufficient conditions for the compatibility of multi-state characters: There exists a function f(r) such that, for any set C of r-state characters, C is co...

    Brad Shutters, Sudheer Vakati, David Fernández-Baca in Algorithms in Bioinformatics (2012)

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    Chapter and Conference Paper

    Identifying Rogue Taxa through Reduced Consensus: NP-Hardness and Exact Algorithms

    A rogue taxon in a collection of phylogenetic trees is one whose position varies drastically from tree to tree. The presence of such taxa can greatly reduce the resolution of the consensus tree (e.g., the majo...

    Akshay Deepak, Jianrong Dong in Bioinformatics Research and Applications (2012)

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    Chapter and Conference Paper

    Extracting Conflict-Free Information from Multi-labeled Trees

    A multi-labeled tree, or MUL-tree, is a phylogenetic tree where two or more leaves share a label, e.g., a species name. A MUL-tree can imply multiple conflicting phylogenetic relationships for the same set of ...

    Akshay Deepak, David Fernández-Baca, Michelle M. McMahon in Algorithms in Bioinformatics (2012)

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    Chapter and Conference Paper

    Fast Local Search for Unrooted Robinson-Foulds Supertrees

    A Robinson-Foulds (RF) supertree for a collection of input trees is a comprehensive species phylogeny that is at minimum total RF distance to the input trees. Thus, an RF supertree is consistent with the maxim...

    Ruchi Chaudhary, J. Gordon Burleigh in Bioinformatics Research and Applications (2011)

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    Chapter and Conference Paper

    Constructing Majority-Rule Supertrees

    Supertree methods combine the phylogenetic information from multiple partially-overlap** trees into a larger phylogenetic tree called a supertree. Several supertree construction methods have been proposed to...

    Jianrong Dong, David Fernández-Baca, F. R. McMorris in Algorithms in Bioinformatics (2009)