Mihaela Baroni and
Mike Steel. Accumulation Phylogenies. In ACOM, Vol. 10(1):19-30, 2006. Keywords: abstract network, from clusters, from distances, phylogenetic network, phylogeny, polynomial, reconstruction, regular network. Note: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.137.1960.
Toggle abstract
"We investigate the computational complexity of a new combinatorial problem of inferring a smallest possible multi-labeled phylogenetic tree (MUL tree) which is consistent with each of the rooted triplets in a given set. We prove that even the restricted case of determining if there exists a MUL tree consistent with the input and having just one leaf duplication is NP-hard. Furthermore, we show that the general minimization problem is NP-hard to approximate within a ratio of n 1-ε for any constant 0<ε≤1, where n denotes the number of distinct leaf labels in the input set, although a simple polynomial-time approximation algorithm achieves the approximation ratio n. We also provide an exact algorithm for the problem running in O *(7 n ) time and O *(3 n ) space. © 2009 Springer-Verlag Berlin Heidelberg."
@Article{BaroniSteel2006,
AUTHOR = {Baroni, Mihaela and Steel, Mike},
TITLE = {Accumulation Phylogenies},
YEAR = {2006},
JOURNAL = {ACOM},
VOLUME = {10},
NUMBER = {1},
PAGES = {19-30},
URL = {http://dx.doi.org/10.1007/978-3-642-10631-6_121},
NOTE = { http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.137.1960},
KEYWORDS = {abstract network, from clusters, from distances, phylogenetic network, phylogeny, polynomial, reconstruction, regular network} }
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