Theory of Matroids

Theory of Matroids

by Neil White
     
 

View All Available Formats & Editions

ISBN-10: 0521309379

ISBN-13: 9780521309370

Pub. Date: 04/03/1986

Publisher: Cambridge University Press

The theory of matroids is unique in the extent to which it connects such disparate branches of combinatorial theory and algebra as graph theory, lattice theory, design theory, combinatorial optimization, linear algebra, group theory, ring theory and field theory. Furthermore, matroid theory is alone among mathematical theories because of the number and variety of

Overview

The theory of matroids is unique in the extent to which it connects such disparate branches of combinatorial theory and algebra as graph theory, lattice theory, design theory, combinatorial optimization, linear algebra, group theory, ring theory and field theory. Furthermore, matroid theory is alone among mathematical theories because of the number and variety of its equivalent axiom systems. Indeed, matroids are amazingly versatile and the approaches to the subject are varied and numerous. This book is a primer in the basic axioms and constructions of matroids. The contributions by various leaders in the field include chapters on axiom systems, lattices, basis exchange properties, orthogonality, graphs and networks, constructions, maps, semi-modular functions and an appendix on cryptomorphisms. The authors have concentrated on giving a lucid exposition of the individual topics; explanations of theorems are preferred to complete proofs and original work is thoroughly referenced. In addition, exercises are included for each topic.

Product Details

ISBN-13:
9780521309370
Publisher:
Cambridge University Press
Publication date:
04/03/1986
Series:
Encyclopedia of Mathematics and Its Applications Ser., #26
Pages:
336
Product dimensions:
5.98(w) x 8.98(h) x 0.87(d)

Table of Contents

1. Examples and Basic Concepts Henry Crapo; 2. Axiom Systems Giorgio Nicoletti and Neil White; 3. Lattices Ulrich Faigle; 4. Basis-Exchange Properties Joseph P. S. Kung; 5. Orthogonality Henry Crapo; 6. Graphs and Series-Parallel Networks James Oxley; 7. Constructions Thomas Brylawski; 8. Strong Maps Joseph P. S. Kung; 9. Weak Maps Joseph P. S. Kung and Hein Q. Nguyen; 10. Semimodular Functions Hein Q. Nguyen.

Customer Reviews

Average Review:

Write a Review

and post it to your social network

     

Most Helpful Customer Reviews

See all customer reviews >