Basic Phylogenetic Combinatorics

Informationen zum Autor Andreas Dress is a Professor Emeritus in the Mathematics Department at the University of Bielefeld, Germany. Katharina T. Huber is a Lecturer in the School of Computing Sciences at the University of East Anglia, UK. Jacobus Koolen is an Associate Professor in the Department of Mathematics at Pohang University of Science and Technology (POSTECH), South Korea. Vincent Moulton is a Professor in the School of Computing Sciences at the University of East Anglia, UK. Andreas Spillner is an Assistant Professor in the Department of Mathematics and Computer Science at the University of Greifswald, Germany. Klappentext The first book to systematically introduce the emerging area of phylogenetic combinatorics. Zusammenfassung The biosciences are generating new research directions in mathematical sciences. This book presents a new combinatorial theory that forms the basis for understanding structures such as phylogenetic trees and networks. Results are presented in full detail! so the reader can quickly reach the forefront of this fascinating new area. 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.

Autorentext
Andreas Dress is a Professor Emeritus in the Mathematics Department at the University of Bielefeld, Germany.Katharina T. Huber is a Lecturer in the School of Computing Sciences at the University of East Anglia, UK.Jacobus Koolen is an Associate Professor in the Department of Mathematics at Pohang University of Science and Technology (POSTECH), South Korea.Vincent Moulton is a Professor in the School of Computing Sciences at the University of East Anglia, UK.Andreas Spillner is an Assistant Professor in the Department of Mathematics and Computer Science at the University of Greifswald, Germany.

Klappentext
The first book to systematically introduce the emerging area of phylogenetic combinatorics.

Zusammenfassung
The biosciences are generating new research directions in mathematical sciences. This book presents a new combinatorial theory that forms the basis for understanding structures such as phylogenetic trees and networks. Results are presented in full detail, so the reader can quickly reach the forefront of this fascinating new area.

Inhalt
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.

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