Geometric Algorithms and Combinatorial Optimization Algorithms and Combinatorics, 2

Grötschel, Martin, Laszlo Lovasz and Alexander Schrijver:

ISBN 10: 3540567402 / ISBN 13: 9783540567400

Published by Springer, 1993

About this Item

362 Seiten Das hier angebotene Buch stammt aus einer teilaufgelösten Bibliothek und kann die entsprechenden Kennzeichnungen aufweisen (Rückenschild, Instituts-Stempel.); der Buchzustand ist ansonsten ordentlich und dem Alter entsprechend gut. Einband folienkaschiert. In ENGLISCHER Sprache. Sprache: Englisch Gewicht in Gramm: 750.

Seller Inventory # 2220370

Bibliographic Details

• Title: Geometric Algorithms and Combinatorial Optimization Algorithms and Combinatorics, 2
• Publisher: Springer
• Publication Date: 1993
• Language: English
• ISBN 10: 3540567402
• ISBN 13: 9783540567400
• Binding: gebundene Ausgabe
• Edition: 2. Auflage;.
• Condition: Gut
• Seller catalogs:
  • 200 Mathematik

About this title

Synopsis

This book develops geometric techniques for proving the polynomial time solvability of problems in convexity theory, geometry, and - in particular - combinatorial optimization. It offers a unifying approach based on two fundamental geometric algorithms: - the ellipsoid method for finding a point in a convex set and - the basis reduction method for point lattices. The ellipsoid method was used by Khachiyan to show the polynomial time solvability of linear programming. The basis reduction method yields a polynomial time procedure for certain diophantine approximation problems. A combination of these techniques makes it possible to show the polynomial time solvability of many questions concerning poyhedra - for instance, of linear programming problems having possibly exponentially many inequalities. Utilizing results from polyhedral combinatorics, it provides short proofs of the poynomial time solvability of many combinatiorial optimization problems. For a number of these problems, the geometric algorithms discussed in this book are the only techniques known to derive polynomial time solvability. This book is a continuation and extension of previous research of the authors for which they received the Fulkerson Prize, awarded by the Mathematical Programming Society and the American Mathematical Society.