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cs.DM2012
On Two Graph-Theoretic Characterizations of Tree Compatibility
Sudheer Vakati, David Fernández-Baca
Deciding whether a collection of unrooted trees is compatible is a fundamental problem in phylogenetics. Two different graph-theoretic characterizations of tree compatibility have…
math.CO2012
Improved Lower Bounds on the Compatibility of Multi-State Characters
Brad Shutters, Sudheer Vakati, David Fernández-Baca
We study a long standing conjecture on the necessary and sufficient conditions for the compatibility of multi-state characters: There exists a function such that, for any se…