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Matroid Applications

Part of Encyclopedia of Mathematics and its Applications

Walter Whiteley, M. Deza, James Oxley, J. M. S. Simões-Pereira, Ivan Rival, Miriam Stanford, Thomas Brylawski, Anders Björner, Günter M. Ziegler
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  • Date Published: September 2009
  • availability: Available
  • format: Paperback
  • isbn: 9780521119672

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About the Authors
  • This volume, the third in a sequence that began with The Theory of Matroids and Combinatorial Geometries, concentrates on the applications of matroid theory to a variety of topics from engineering (rigidity and scene analysis), combinatorics (graphs, lattices, codes and designs), topology and operations research (the greedy algorithm). As with its predecessors, the contributors to this volume have written their articles to form a cohesive account so that the result is a volume which will be a valuable reference for research workers.

    • A comprehensive and accessible account of the subject
    • Includes an exhaustive reference list
    • Includes exercises and open problems at the end of each chapter
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    Product details

    • Date Published: September 2009
    • format: Paperback
    • isbn: 9780521119672
    • length: 376 pages
    • dimensions: 234 x 156 x 20 mm
    • weight: 0.53kg
    • availability: Available
  • Table of Contents

    List of contributors
    Preface
    1. Matroids and rigid structures Walter Whiteley
    2. Perfect matroid designs M. Deza
    3. Infinite matroids James Oxley
    4. Matroidal families of graphs J. M. S. Simões-Pereira
    5. Algebraic aspects of partition lattices Ivan Rival and Miriam Stanford
    6. The Tutte polynomial and its applications Thomas Brylawski and James Oxley
    7. Homology and shellability of matroids and geometric lattices Anders Björner
    8. Introduction to greedoids Anders Björner and Günter M. Ziegler
    Index.

  • Editor

    Neil White, University of Florida

    Contributors

    Walter Whiteley, M. Deza, James Oxley, J. M. S. Simões-Pereira, Ivan Rival, Miriam Stanford, Thomas Brylawski, Anders Björner, Günter M. Ziegler

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