Theory of matroids / edited by Neil White.

Format:

Book

Contributor:

White, Neil, 1945- editor.

Series:

Encyclopedia of mathematics and its applications ; v. 26.

Encyclopedia of mathematics and its applications ; volume 26

Language:

English

Subjects (All):

Matroids.

Physical Description:

1 online resource (xvii, 316 pages) : digital, PDF file(s).

Place of Publication:

Cambridge : Cambridge University Press, 1986.

Summary:

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.

Notes:

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Includes bibliographical references at the end of each chapters and index.

ISBN:

1-139-88616-9

0-511-89017-6

1-107-08766-X

1-107-10240-5

0-511-62956-7

1-107-09390-2

0-511-94225-7