ENGLISH

Theory of matroids

By Neil White

Book information

Publisher
CUP
Year
1986
ISBN
9780521092029, 0521092027
Language
english
Format
DJVU
Filesize
2 MB (2389310 bytes)
Series
Encyclopedia of Mathematics and its Applications
Pages
337\337
Library
Kolxo3
DPI
300
Time added
2010-07-29 05:14:56

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. 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.

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