Combinatorial and global optimization (Series on applied mathematics-vol. 14)
Combinatorial and global optimization problems appear in a wide range of applications in operations research, engineering, biological science, and computer science. In combinatorial optimization and graph theory, many approaches have been developed that link the discrete universe to the continuous u...
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Main Authors | , , |
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Format | eBook Book |
Language | English |
Published |
New Jersey ; Singapore
World Scientific Publishing Co. Pte. Ltd
2002
World Scientific World Scientific Publishing Company WORLD SCIENTIFIC World Scientific Publishing |
Edition | 1 |
Series | Series on applied mathematics |
Subjects | |
Online Access | Get full text |
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Summary: | Combinatorial and global optimization problems appear in a wide range of applications in operations research, engineering, biological science, and computer science. In combinatorial optimization and graph theory, many approaches have been developed that link the discrete universe to the continuous universe through geometric, analytic, and algebraic techniques. Such techniques include global optimization formulations, semidefinite programming, and spectral theory. Recent major successes based on these approaches include interior point algorithms for linear and discrete problems, the celebrated Goemans-Williamson relaxation of the maximum cut problem, and the Du-Hwang solution of the Gilbert-Pollak conjecture. Since integer constraints are equivalent to nonconvex constraints, the fundamental difference between classes of optimization problems is not between discrete and continuous problems but between convex and nonconvex optimization problems. This volume is a selection of refereed papers based on talks presented at a conference on "Combinatorial and Global Optimization" held at Crete, Greece. |
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Bibliography: | Includes bibliographical references |
ISBN: | 9810248024 9789810248024 9789812778215 9812778217 9789814489652 9814489654 |
DOI: | 10.1142/4856 |