ネットワーク・フロー・アルゴリズム Network Flow Algorithms

著者名：Williamson, David P.

Cambridge University Press（2019/09/05発売）

• 言語：ENG
• ISBN：9781107185890
• eISBN：9781316946664

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.

Table of Contents

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.