Title
Reconstructing Gene Trees From Fitch's Xenology Relation.
Abstract
Two genes are xenologs in the sense of Fitch if they are separated by at least one horizontal gene transfer event. Horizonal gene transfer is asymmetric in the sense that the transferred copy is distinguished from the one that remains within the ancestral lineage. Hence xenology is more precisely thought of as a non-symmetric relation: y is xenologous to x if y has been horizontally transferred at least once since it diverged from the least common ancestor of x and y. We show that xenology relations are characterized by a small set of forbidden induced subgraphs on three vertices. Furthermore, each xenology relation can be derived from a unique least-resolved edge-labeled phylogenetic tree. We provide a linear-time algorithm for the recognition of xenology relations and for the construction of its least-resolved edge-labeled phylogenetic tree. The fact that being a xenology relation is a heritable graph property, finally has far-reaching consequences on approximation problems associated with xenology relations.
Year
DOI
Venue
2017
10.1007/s00285-018-1260-8
Journal of mathematical biology
Keywords
Field
DocType
Di-cograph,Fitch xenology,Fixed parameter tractable,Forbidden induced subgraphs,Heritable graph property,Informative triple sets,Least-resolved tree,Phylogenetic tree,Recognition algorithm,Rooted triples
Discrete mathematics,Combinatorics,Phylogenetic tree,Gene,Lowest common ancestor,Vertex (geometry),Graph property,Horizontal gene transfer,Time complexity,Small set,Mathematics
Journal
Volume
Issue
ISSN
abs/1711.02152
5
0303-6812
Citations 
PageRank 
References 
5
0.58
20
Authors
5
Name
Order
Citations
PageRank
Manuela Geiß151.93
John Anders250.58
Peter F. Stadler31839152.96
Nicolas Wieseke41149.34
marc hellmuth514822.80