Combinatorial geometries

edited by Neil White

This book is a continuation of Theory of Matroids (also edited by Neil White), and again consists of a series of related surveys that have been contributed by authorities in the area. The volume begins with three chapters on coordinatisations, followed by one on matching theory. The next two deal with transversal and simplicial matroids. These are followed by studies of the important matroid invariants. The final chapter deals with matroids in combinatorial optimisation, a topic of much current interest. The whole volume has been carefully edited to ensure a uniform style and notation throughout, and to make a work that can be used as a reference or as an introductory textbook for graduate students or non-specialists.

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[目次]

  • Series Editor's statement
  • Preface
  • 1. Coordinatizations Neil White
  • 2. Binary matroids J. C. Fournier
  • 3. Unimodular matroids Neil White
  • 4. Introduction to matching theory Richard A. Brualdi
  • 5. Transversal matroids Richard A. Brualdi
  • 6. Simplicial matroids Raul Corovil and Bernt Lindstrom
  • 7. The Mobius function and the characteristic polynomial Thomas Zaslavsky
  • 8. Whitney numbers Martin Aigner
  • 9. Matroids in combinatorial optimization Ulrich Faigle
  • Index.

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この本の情報

書名 Combinatorial geometries
著作者等 White, Neil
Doran, B.
Flajolet, Philippe
Ismail, M.
Lam, T. Y.
Lutwak, E.
Wutwak, E.
Rota, G.-C.
シリーズ名 Encyclopedia of mathematics and its applications
出版元 Cambridge University Press
刊行年月 1987
ページ数 xii, 212 p.
大きさ 25 cm
ISBN 0521333393
NCID BA00887144
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言語 英語
出版国 イギリス
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