Teresa Piovesan and
Steven Kelk. A simple fixed parameter tractable algorithm for computing the hybridization number of two (not necessarily binary) trees. In TCBB, Vol. 10(1):18-25, 2013. Keywords: FPT, from rooted trees, phylogenetic network, phylogeny, Program TerminusEst, reconstruction. Note: http://arxiv.org/abs/1207.6090.
Toggle abstract
"Here, we present a new fixed parameter tractable algorithm to compute the hybridization number (r) of two rooted, not necessarily binary phylogenetic trees on taxon set (X) in time ((6r r) · poly(n)), where (n= |X|). The novelty of this approach is its use of terminals, which are maximal elements of a natural partial order on (X), and several insights from the softwired clusters literature. This yields a surprisingly simple and practical bounded-search algorithm and offers an alternative perspective on the underlying combinatorial structure of the hybridization number problem. © 2004-2012 IEEE."
@Article{PiovesanKelk2013,
AUTHOR = {Piovesan, Teresa and Kelk, Steven},
TITLE = {A simple fixed parameter tractable algorithm for computing the hybridization number of two (not necessarily binary) trees},
YEAR = {2013},
JOURNAL = {TCBB},
VOLUME = {10},
NUMBER = {1},
PAGES = {18-25},
URL = {http://dx.doi.org/10.1109/TCBB.2012.134},
NOTE = { http://arxiv.org/abs/1207.6090},
KEYWORDS = {FPT, from rooted trees, phylogenetic network, phylogeny, Program TerminusEst, reconstruction} }
|