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Graph Triangulations and the Compatibility of Unrooted Phylogenetic Trees (1004.4196v1)
Published 23 Apr 2010 in cs.DM
Abstract: We characterize the compatibility of a collection of unrooted phylogenetic trees as a question of determining whether a graph derived from these trees --- the display graph --- has a specific kind of triangulation, which we call legal. Our result is a counterpart to the well known triangulation-based characterization of the compatibility of undirected multi-state characters.