Combinatorial Geometries

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Cambridge University Press, Sep 24, 1987 - Mathematics - 212 pages
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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.
 

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Contents

Matroid operations
6
Brackets
15
Coordinatizations over transcendental extensions
21
Binary Matroids J C Fournier
28
Unimodular Matroids Neil White
40
Introduction to Matching Theory Richard A Brualdi
53
Transversal Matroids Richard A Brualdi
72
Simplicial Matroids Raul Cordovil and Bernt Lindstrdm
98
Whitney Numbers Martin Aigner
139
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