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Theory of Matroids by Neil White (University of Florida) at Abbey's Bookshop,
Theory of Matroids
— —
Neil White (University of Florida)

Theory of Matroids

Neil White (University of Florida)

$57.95

Paperback

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English
Cambridge University Press
04 December 2008
Mathematical foundations; Combinatorics & graph theory
Series: Encyclopedia of Mathematics and its Applications
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.
Edited by:  
Imprint:   Cambridge University Press
Country of Publication:   United Kingdom
Volume:   26
Dimensions:   Height: 229mm,  Width: 152mm,  Spine: 15mm
Weight:   380g
ISBN:   9780521092029
ISBN 10:   0521092027
Series:   Encyclopedia of Mathematics and its Applications
Pages:   340
Publication Date:  
Audience:   Professional and scholarly ,  Undergraduate
Format:   Paperback
Publisher's Status:   Active
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.

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