Result: Note on the hybridization number and subtree distance in phylogenetics

Title:
Note on the hybridization number and subtree distance in phylogenetics
Authors:
HUMPHRIES, Peter J, SEMPLE, Charles
Source:
Applied mathematics letters. 22(4):611-615
Publisher Information:
Kidlington: Elsevier, 2009.
Publication Year:
2009
Physical Description:
print, 12 ref
Original Material:
INIST-CNRS
Subject Terms:
Control theory, operational research, Automatique, recherche opérationnelle, Mathematics, Mathématiques, Mechanics acoustics, Mécanique et acoustique, Sciences exactes et technologie, Exact sciences and technology, Sciences et techniques communes, Sciences and techniques of general use, Mathematiques, Mathematics, Combinatoire. Structures ordonnées, Combinatorics. Ordered structures, Combinatoire, Combinatorics, Théorie des graphes, Graph theory, Analyse mathématique, Mathematical analysis, Analyse numérique. Calcul scientifique, Numerical analysis. Scientific computation, Analyse numérique, Numerical analysis, Mathématiques appliquées, Applied mathematics, Matemáticas aplicadas, 05C05, Agreement forests, Hybridization number, Subtree prune and regraft
Document Type:
Academic journal Article
File Description:
text
Language:
English
Author Affiliations:
Department of Mathematics and Statistics, University of Canterbury, Christchurch, New Zealand
ISSN:
0893-9659
Access URL:
http://pascal-francis.inist.fr/vibad/index.php?action=search&terms=21284096
Rights:
Copyright 2009 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Mathematics
Accession Number:
edscal.21284096
Database:
PASCAL Archive

Further Information

For two rooted phylogenetic trees T and T', the rooted subtree prune and regraft distance between T and T' has often been used as a replacement for the hybridization number ofT and T'. However, Baroni et al. [M. Baroni, S. Grünewald, V. Moulton, C. Semple, Bounding the number of hybridisation events for a consistent evolutionary history,]. Math. Biol. 51 (2005) 171-182] constructed particular instances that showed that both the difference and the ratio between this number and the distance can be arbitrarily large. In this note, we show that the difference and ratio values obtained in the above reference of Baroni et al. are the best possible, thus answering a problem posed in [C. Semple, Hybridization networks, in: O. Gascuel, M. Steel (Eds.), Reconstructing Evolution: New Mathematical and Computational Advances, Oxford University Press, 2007, pp. 277-314].