Title
The comparison of tree-sibling time consistent phylogenetic networks is graph isomorphism-complete.
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.
Year
DOI
Venue
2009
10.1155/2014/254279
SCIENTIFIC WORLD JOURNAL
Keywords
Field
DocType
graph isomorphism,polynomial time,time consistency,phylogenetic network
Graph canonization,Graph automorphism,Combinatorics,Maximum common subgraph isomorphism problem,Graph isomorphism,Biochemistry,Algorithm,Induced subgraph isomorphism problem,Isomorphism,Medicine,Graph isomorphism problem,Subgraph isomorphism problem
Journal
Volume
ISSN
Citations 
2014
1537-744X
2
PageRank 
References 
Authors
0.40
11
4
Name
Order
Citations
PageRank
Gabriel Cardona120916.10
Mercè Llabrés210412.98
Francesc Rosselló324429.09
Gabriel Valiente474263.30