Polyhedral and Semidefinite Programming Methods in Combinatorial Optimization is popular PDF and ePub book, written by Levent Tunçel in 2016-05-05, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Polyhedral and Semidefinite Programming Methods in Combinatorial Optimization can be Read Online from any device for your convenience.
Polyhedral and Semidefinite Programming Methods in Combinatorial Optimization Book PDF Summary
Since the early 1960s, polyhedral methods have played a central role in both the theory and practice of combinatorial optimization. Since the early 1990s, a new technique, semidefinite programming, has been increasingly applied to some combinatorial optimization problems. The semidefinite programming problem is the problem of optimizing a linear function of matrix variables, subject to finitely many linear inequalities and the positive semidefiniteness condition on some of the matrix variables. On certain problems, such as maximum cut, maximum satisfiability, maximum stable set and geometric representations of graphs, semidefinite programming techniques yield important new results. This monograph provides the necessary background to work with semidefinite optimization techniques, usually by drawing parallels to the development of polyhedral techniques and with a special focus on combinatorial optimization, graph theory and lift-and-project methods. It allows the reader to rigorously develop the necessary knowledge, tools and skills to work in the area that is at the intersection of combinatorial optimization and semidefinite optimization. A solid background in mathematics at the undergraduate level and some exposure to linear optimization are required. Some familiarity with computational complexity theory and the analysis of algorithms would be helpful. Readers with these prerequisites will appreciate the important open problems and exciting new directions as well as new connections to other areas in mathematical sciences that the book provides.
Detail Book of Polyhedral and Semidefinite Programming Methods in Combinatorial Optimization PDF
- Author : Levent Tunçel
- Release : 05 May 2016
- Publisher : American Mathematical Soc.
- ISBN : 9781470428112
- Genre : Mathematics
- Total Page : 233 pages
- Language : English
- PDF File Size : 10,5 Mb
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