Basic Phylogenetic Combinatorics

Erscheinungsjahr 2011
ISBN: 978-0-521-76832-0
Verlag: Cambridge University Press

Buch, Englisch, 276 Seiten, Format (B × H): 157 mm x 235 mm, Gewicht: 606 g

Phylogenetic combinatorics is a branch of discrete applied mathematics concerned with the combinatorial description and analysis of phylogenetic trees and related mathematical structures such as phylogenetic networks and tight spans. Based on a natural conceptual framework, the book focuses on the interrelationship between the principal options for encoding phylogenetic trees: split systems, quartet systems and metrics. Such encodings provide useful options for analyzing and manipulating phylogenetic trees and networks, and are at the basis of much of phylogenetic data processing. This book highlights how each one provides a unique perspective for viewing and perceiving the combinatorial structure of a phylogenetic tree and is, simultaneously, a rich source for combinatorial analysis and theory building. Graduate students and researchers in mathematics and computer science will enjoy exploring this fascinating new area and learn how mathematics may be used to help solve topical problems arising in evolutionary biology.

Autoren/Hrsg.

Dress, Andreas

Huber, Katharina T.

Koolen, Jacobus

Moulton, Vincent

Spillner, Andreas

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Mathematik | Informatik Mathematik Mathematik Allgemein Diskrete Mathematik, Kombinatorik
• Naturwissenschaften Biowissenschaften Biowissenschaften Evolutionsbiologie
• Naturwissenschaften Biowissenschaften Biowissenschaften Taxonomie und Systematik
• Naturwissenschaften Biowissenschaften Angewandte Biologie Biomathematik

Inhaltsverzeichnis

1. Preliminaries; 2. Encoding X-trees; 3. Consistency of X-tree encodings; 4. From split systems to networks; 5. From metrics to networks; 6. From quartet and tree systems to trees; 7. From metrics to split systems and back; 8. Maps to and from quartet systems; 9. Rooted trees and the Farris transform; 10. On measuring and removing inconsistencies.

Über Autor(innen)

Moulton, Vincent
Vincent Moulton is a Professor in the School of Computing Sciences at the University of East Anglia, UK.

Koolen, Jacobus
Jacobus Koolen is an Associate Professor in the Department of Mathematics at Pohang University of Science and Technology (POSTECH), South Korea.

Huber, Katharina T.
Katharina T. Huber is a Lecturer in the School of Computing Sciences at the University of East Anglia, UK.

Spillner, Andreas
Andreas Spillner is an Assistant Professor in the Department of Mathematics and Computer Science at the University of Greifswald, Germany.

Dress, Andreas
Andreas Dress is a Professor Emeritus in the Mathematics Department at the University of Bielefeld, Germany.