Theory of matroids [EBook] / edited by Neil White.
Theory of matroids [EBook] / edited by Neil White.
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...
Personal Name(s):  White, Neil, (editor) 

Imprint: 
Cambridge :
Cambridge University Press,
1986

Physical Description: 
1 online resource (xvii, 316 pages) 
Note: 
englisch 
ISBN: 
9780521092029 9780511629563 9780521309370 
Series Title: 
Encyclopedia of mathematics and its applications ;
volume 26 
Subject (LOC):  
Full Text 
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, semimodular 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. 