Algorithmic aspects of tree amalgamation
Journal of Algorithms
Two Strikes Against Perfect Phylogeny
ICALP '92 Proceedings of the 19th International Colloquium on Automata, Languages and Programming
Uncovering Hidden Phylogenetic Consensus in Large Data Sets
IEEE/ACM Transactions on Computational Biology and Bioinformatics (TCBB)
Uncovering hidden phylogenetic consensus
ISBRA'10 Proceedings of the 6th international conference on Bioinformatics Research and Applications
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A fundamental problem in biological classification is the reconstruction of phylogenetic trees for a set X of species from a collection of either subtrees or qualitative characters. This task is equivalent to tree reconstruction from a set of partial X-splits (bipartitions of subsets of X). In this paper, we define and analyse a "closure" operation for partial X-splits that was informally proposed by Meacham [5]. In particular, we establish a sufficient condition for such an operation to reconstruct a tree when there is essentially only one tree that displays the partial X-splits. This result exploits a recent combinatorial result from [2].