Combinatorial Geometries [Paperback]

This book is a continuation of Theory of Matroids and again consists of a series of related surveys.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 has been carefully edited to ensure a uniform style and notation throughout.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 has been carefully edited to ensure a uniform style and notation throughout.A continuation of The Theory of Matroids, (edited by N. White), this volume consists of a series of related surveys by top authorities on coordinatizations, matching theory, transversal and simplicial matroids, and studies of important matroid variants. An entire chapter is devoted to matroids in combinatorial optimization, a topic of current interest. Care has been taken to ensure a uniform style throughout, and to make a work that can be used as a reference or as a graduate textbook. Excercises are included.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 Lindstr?m; 7. The M?bius function and the characteristic polynomial Thomas Zaslavsky; 8. Whitney numbers Martin Aigner; 9. Matroids in combinatorial optimization Ulrich Faigle; Index.