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Programming Combinatorial Optimization: Networks and Matroids: Eugene L. Lawler

Posted on 2010-03-16




Name:Programming Combinatorial Optimization: Networks and Matroids: Eugene L. Lawler
ASIN/ISBN:0030848660
Language:English
File size:2.93 Mb
ISBN: 0030848660
Publish Date: 1995-06-08
Pages: 384 pages
File Size: 2.93 Mb
Other Info: Oxford University Press, USA; djvu (ocr)
   Programming Combinatorial Optimization: Networks and Matroids: Eugene L. Lawler

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Combinatorial Optimization: Networks and Matroids: Eugene L. Lawler

Perceptively written text examines optimization problems that can be formulated in terms of networks and algebraic structures called matroids. Chapters cover shortest paths, network flows, bipartite matching, nonbipartite matching, matroids and the greedy algorithm, matroid intersections, and the matroid parity problems. A suitable text or reference for courses in combinatorial computing.

Review:

Combinatorial Optimisation : Networks and Matroids by Eugene Lawler examines shortest paths, network flows, bipartite matching, non bipartite matching. More importantly there is an excellent introduction to matroid theory including matroids and the greedy algorithm, matroid intersections and matroid parity problems, some of these Lawler's own results.

However there is not much on NP completeness, since this book was published in 1976. For a more to date version of events in combinatorial optimisation one might want to look at Papadimitriou and Steglitz's book on combinatorial optimisation (quite old too, considering this was published in 1982), Ahuja, Magnanti and Orlin's book on Network algorithms, Hochbaum's book on approximation algorithms and Cook, Cunnigham,Pulleyblank and Schrijver's book on combinatorial optimisation (listed in the order they were published).

Lawler's book is extremely well written and I am delighted that this book is now published by Dover, and hence easily affordable.

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