Theory of Matroids (Encyclopedia of Mathematics and its Applications, Series Number 26) - Softcover

Softcover

ISBN 10: 0521092027 ISBN 13: 9780521092029

Publisher: Cambridge University Press, 2008

Synopsis

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.

About this title

Book Description:

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.

About this edition

• Publisher: Cambridge University Press
• Publication date: 2008
• ISBN 10: 0521092027
• ISBN 13: 9780521092029
• Binding: Paperback
• Edition number: 1
• Number of pages: 340
• Editor: White Neil