Matroid Applications

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This volume, the third in a sequence that began with The Theory of Matroids (1986) and Combinatorial Geometries (1987), concentrates on the applications of matroid theory to a variety of topics from geometry (rigidity and lattices), combinatorics (graphs, codes, and designs) and operations research (the greedy algorithm).

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Editorial Reviews

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"...will be most useful to researchers in combinatorics and related areas and to graduate students who want to learn about the most recent advances in the subject. The book provides a rich collection of exercises to aid the latter. It is to the credit of the authors and the editor that the book provides smooth and enjoyable reading at a very high level of exposition." Peter Orlik, SIAM Review
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Product Details

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 IvanRival and Miriam Stanford; 6. The Tutte polynomial and its applications ThomasBrylawski 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.

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