DocumentCode :
1392047
Title :
Metrics on Multilabeled Trees: Interrelationships and Diameter Bounds
Author :
Huber, Katharina T. ; Spillner, Andreas ; Suchecki, Radoslaw ; Moulton, Vincent
Author_Institution :
Sch. of Comput. Sci., Univ. of East Anglia, Norwich, UK
Volume :
8
Issue :
4
fYear :
2011
Firstpage :
1029
Lastpage :
1040
Abstract :
Multilabeled trees or MUL-trees, for short, are trees whose leaves are labeled by elements of some nonempty finite set X such that more than one leaf may be labeled by the same element of X. This class of trees includes phylogenetic trees and tree shapes. MUL-trees arise naturally in, for example, biogeography and gene evolution studies and also in the area of phylogenetic network reconstruction. In this paper, we introduce novel metrics which may be used to compare MUL-trees, most of which generalize well-known metrics on phylogenetic trees and tree shapes. These metrics can be used, for example, to better understand the space of MUL-trees or to help visualize collections of MUL-trees. In addition, we describe some relationships between the MUL-tree metrics that we present and also give some novel diameter bounds for these metrics. We conclude by briefly discussing some open problems as well as pointing out how MUL-tree metrics may be used to define metrics on the space of phylogenetic networks.
Keywords :
bioinformatics; evolution (biological); genetics; trees (mathematics); MUL trees; biogeography; diameter bounds; gene evolution; interrelationships; multilabeled tree metrics; nonempty finite set; phylogenetic network reconstruction; phylogenetic trees; tree shapes; Bioinformatics; Computational biology; Measurement; Phylogeny; Shape; Terminology; MUL-tree; Multilabeled tree; diameter bound.; domination; metric; tree space; Algorithms; Biological Evolution; Cluster Analysis; Computational Biology; Databases, Genetic; Models, Genetic; Phylogeny;
fLanguage :
English
Journal_Title :
Computational Biology and Bioinformatics, IEEE/ACM Transactions on
Publisher :
ieee
ISSN :
1545-5963
Type :
jour
DOI :
10.1109/TCBB.2010.122
Filename :
5654500
Link To Document :
بازگشت