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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...
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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...
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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...
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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...
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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 ...
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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 ...