Network Flow Algorithms
Published on 5. September 2019
Book
Hardback
326 pages
978-1-107-18589-0 (ISBN)
Description
Network flow theory has been used across a number of disciplines, including theoretical computer science, operations research, and discrete math, to model not only problems in the transportation of goods and information, but also a wide range of applications from image segmentation problems in computer vision to deciding when a baseball team has been eliminated from contention. This graduate text and reference presents a succinct, unified view of a wide variety of efficient combinatorial algorithms for network flow problems, including many results not found in other books. It covers maximum flows, minimum-cost flows, generalized flows, multicommodity flows, and global minimum cuts and also presents recent work on computing electrical flows along with recent applications of these flows to classical problems in network flow theory.
Reviews / Votes
'More than half a century since network flow theory was introduced by the 1962 book of L. R. Ford and D. R. Fulkerson, the area is still active and attractive. This book, based on course materials taught at Stanford and Cornell Universities, offers a concise and succinct description of most of the important topics, as well as covering recent developments. Its use in graduate courses related to algorithms and optimization is highly recommended.' Toshihide Ibaraki, Kyoto College of Graduate Studies for Informatics, Japan 'A succinct and very readable account of network flow algorithms covering the classics and the latest developments. The perfect book for a course on network flow algorithms and a reference for the state of the art. It will be a frequently used addition to my bookshelf.' Kurt Mehlhorn, Max-Planck-Institut fuer Informatik 'The book includes many lemmas and theorems with proofs. It provides a succinct, amalgamated view of a broad mixture of effective combinatorial algorithms for network flow problems, including many topics not found in other textbooks ... I strongly recommend the book for students and researchers.' S. V. Nagaraj, SIGACT NewsMore details
Language
English
Place of publication
Cambridge
United Kingdom
Target group
Professional and scholarly
College/higher education
Illustrations
Worked examples or Exercises; 1 Halftones, black and white; 51 Line drawings, black and white
Dimensions
Height: 235 mm
Width: 157 mm
Thickness: 24 mm
Weight
685 gr
ISBN-13
978-1-107-18589-0 (9781107185890)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
David P. Williamson
Network Flow Algorithms
E-Book
09/2019
Cambridge University Press
€29.49
Available for download
David P. Williamson
Network Flow Algorithms
Book
09/2019
Cambridge University Press
€55.00
Shipment within 15-20 days
David P. Williamson
Network Flow Algorithms
E-Book
08/2019
Cambridge University Press
€32.99
Available for download
Person
David P. Williamson is a Professor at Cornell University, New York, in the School of Operations Research and Information Engineering. He has won several awards for his work in discrete optimization, including the 2000 Fulkerson Prize, sponsored by the American Mathematical Society and the Mathematical Programming Society. His previous book, The Design of Approximation Algorithms (Cambridge, 2011), co-authored with David B. Shmoys, won the 2013 INFORMS Lanchester Prize. He has served on several editor boards, and was editor-in-chief of the SIAM Journal on Discrete Mathematics. He is a Fellow of the ACM and of SIAM.
Content
1. Preliminaries: shortest path algorithms; 2. Maximum flow algorithms; 3. Global minimum cut algorithms; 4. More maximum flow algorithms; 5. Minimum-cost circulation algorithms; 6. Generalized flow algorithms; 7. Multicommodity flow algorithms; 8. Electrical flow algorithms; 9. Open questions.