Who is Who in Phylogenetic Networks

Publication no #690   Type :   Html | Bib | Both

Created: 2009-03-13 11:39:06     Modified: 2014-07-07 22:57:55

690 Gabriel Cardona, Mercè Llabrés, Francesc Rosselló and Gabriel Valiente. The comparison of tree-sibling time consistent phylogenetic networks is graph-isomorphism complete. In The Scientific World Journal, Vol. 2014(254279):1-6, 2014. Keywords: abstract network, distance between networks, from network, isomorphism, phylogenetic network, tree sibling network. Note: http://arxiv.org/abs/0902.4640.         Toggle abstract "Several polynomial time computable metrics on the class of semibinary tree-sibling time consistent phylogenetic networks are available in the literature; in particular, the problem of deciding if two networks of this kind are isomorphic is in P. In this paper, we show that if we remove the semibinarity condition, then the problem becomes much harder. More precisely, we prove that the isomorphism problem for generic tree-sibling time consistent phylogenetic networks is polynomially equivalent to the graph isomorphism problem. Since the latter is believed not to belong to P, the chances are that it is impossible to define a metric on the class of all tree-sibling time consistent phylogenetic networks that can be computed in polynomial time. © 2014 Gabriel Cardona et al." @Article{CLRV2014,       AUTHOR = {Cardona, Gabriel and Llabr{\~A}�s, Merc{\~A}� and Rossell{\~A}�, Francesc and Valiente, Gabriel},       TITLE = {The comparison of tree-sibling time consistent phylogenetic networks is graph-isomorphism complete},       YEAR = {2014},       JOURNAL = {The Scientific World Journal},       VOLUME = {2014},       NUMBER = {254279},       PAGES = {1-6},       URL = {http://dx.doi.org/10.1155/2014/254279},       NOTE = {http://arxiv.org/abs/0902.4640},       KEYWORDS = {abstract network, distance between networks, from network, isomorphism, phylogenetic network, tree sibling network} }