Matroid Applications (Encyclopedia of Math and its Applications)

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Matroid Applications (Encyclopedia of Math and its Applications)

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  • 製本 Hardcover:ハードカバー版/ページ数 350 p.
  • 言語 ENG
  • 商品コード 9780521381659
  • DDC分類 511.6

Full Description


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.

Table of Contents

Preface
1. Matroids and rigid structures W. Whiteley
2. Perfect matroid designs M. Deza
3. Infinite matroids J. Oxley
4. Matroidal families of graphs J. M. S.
Simö
s-Pereira
5. Algebraic aspects of partition lattices
I. 
Rival and M. Stanford
6. The Tutte polynomial and its applications
T. 
Brylawski and J. Oxley
7. Homology and shellability of matroids and
geometric lattices A. Bjö
rner
8. Introduction to greedoids A. Bjö
rner and G. M. Ziegler
Index.