Combinatorial Optimization

Beschreibung

An in-depth overview of polyhedral methods and efficient algorithms in combinatorial optimization. These methods form a broad, coherent and powerful kernel in combinatorial optimization, with strong links to discrete mathematics, mathematical programming and computer science. In eight parts, various areas are treated, each starting with an elementary introduction to the area, with short, elegant proofs of the principal results, and each evolving to the more advanced methods and results, with full proofs of some of the deepest theorems in the area. Over 4000 references to further research are given, and historical surveys on the basic subjects are presented.
An in-depth overview of polyhedral methods and efficient algorithms in combinatorial optimization. These methods form a broad, coherent and powerful kernel in combinatorial optimization, with strong links to discrete mathematics, mathematical programming and computer science. In eight parts, various areas are treated, each starting with an elementary introduction to the area, with short, elegant proofs of the principal results, and each evolving to the more advanced methods and results, with full proofs of some of the deepest theorems in the area. Over 4000 references to further research are given, and historical surveys on the basic subjects are presented.

Autor*in

Alexander Schrijver

Themen in »Combinatorial Optimization«

combinatorial optimization graph theory integer programming polyhedral combinatorics polynomial-time algorithms

Stimmen zu »Combinatorial Optimization«

Aus den Rezensionen: "… ‘Effiziente Algorithmen‘ und ‘Kombinatorik der Polyeder‘ bilden. den roten Faden durch das monumentale Werk. Sehr knappe Einführungen in das jeweilige Thema, ein paar einfache erste Resultate. und dann eine enzykoplädische [sic] Durchsicht der Methoden, Ideen, Varianten, Laufzeiten, mit einer überaus detaillierten Literaturliste und historischen Zusammenfassung. Alles wird nüchtern … dargeboten … Man blättert das Buch durch … und erkennt mit Respekt und Staunen, dass der Autor alles, aber auch wirklich alles durchgearbeitet hat - eine große Leistung. … Ich kenne kein vergleichbares neueres Werk …" (M. Aigner, 2006, Issue 3, S. 15-16)
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