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Basic Phylogenetic Combinatorics


  • Date Published: December 2011
  • availability: Available
  • format: Hardback
  • isbn: 9780521768320

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About the Authors
  • 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.

    • The first systematic introduction to this exciting new field
    • Contains full proofs of all the fundamental results for easy reference
    • Suitable for readers with only a basic knowledge of combinatorics
    • Introduces a new generation of mathematicians to the fascinating problems that can arise in evolutionary and molecular biology
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    Product details

    • Date Published: December 2011
    • format: Hardback
    • isbn: 9780521768320
    • length: 276 pages
    • dimensions: 235 x 157 x 20 mm
    • weight: 0.54kg
    • contains: 55 b/w illus.
    • availability: Available
  • Table of Contents

    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.

  • Authors

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

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

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

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

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

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