  
Leo van Iersel,
Charles Semple and
Mike Steel. Locating a tree in a phylogenetic network. In IPL, Vol. 110(23), 2010.
Keywords: cluster containment, explicit network, from network, level k phylogenetic network, normal network, NP complete, phylogenetic network, polynomial, regular network, time consistent network, tree containment, tree sibling network, tree-child network.
Note: http://arxiv.org/abs/1006.3122.
Toggle abstract
"Phylogenetic trees and networks are leaf-labelled graphs that are used to describe evolutionary histories of species. The Tree Containment problem asks whether a given phylogenetic tree is embedded in a given phylogenetic network. Given a phylogenetic network and a cluster of species, the Cluster Containment problem asks whether the given cluster is a cluster of some phylogenetic tree embedded in the network. Both problems are known to be NP-complete in general. In this article, we consider the restriction of these problems to several well-studied classes of phylogenetic networks. We show that Tree Containment is polynomial-time solvable for normal networks, for binary tree-child networks, and for level-k networks. On the other hand, we show that, even for tree-sibling, time-consistent, regular networks, both Tree Containment and Cluster Containment remain NP-complete. © 2010 Elsevier B.V. All rights reserved."
@Article{ISS2010b,
AUTHOR = {van Iersel, Leo and Semple, Charles and Steel, Mike},
TITLE = {Locating a tree in a phylogenetic network},
YEAR = {2010},
JOURNAL = {IPL},
VOLUME = {110},
NUMBER = {23},
URL = {http://dx.doi.org/10.1016/j.ipl.2010.07.027},
NOTE = { http://arxiv.org/abs/1006.3122},
KEYWORDS = {cluster containment, explicit network, from network, level k phylogenetic network, normal network, NP complete, phylogenetic network, polynomial, regular network, time consistent network, tree containment, tree sibling network, tree-child network} } |
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