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New approaches to circle packing in a square : with program codes

Author: P G Szabó
Publisher: New York : Springer, ©2007.
Series: Springer optimization and its applications, v. 6.
Edition/Format:   Print book   Computer File : EnglishView all editions and formats
Summary:

This book presents an overview of recent results achieved in solving the circle packing problem. It provides the reader with a comprehensive view of both theoretical and computational achievements.  Read more...

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Additional Physical Format: Online version:
New approaches to circle packing in a square.
New York : Springer, ©2007
(OCoLC)846150771
Material Type: Internet resource
Document Type: Book, Computer File, Internet Resource
All Authors / Contributors: P G Szabó
ISBN: 0387456732 9780387456737
OCLC Number: 123181404
Description: xiv, 238 pages : illustrations ; 25 cm + 1 CD-ROM (4 3/4 in.).
Contents: 1. Introduction and problem history --
2. Problem definitions and formulations --
3. Bounds for the optimum values --
4. Approximate circle packings using optimization methods --
5. Other methods for finding approximate circle packings --
6. Interval methods for validating optimal solutions --
7. The first fully interval-based optimization method --
8. The improved version of the interval optimization method --
9. Interval methods for verifying structural optimality --
10. Repeated patterns in circle packings --
11. Minimal polynomials of point arrangements --
12. About the codes used --
13. Appendix A : currently best known results for packing congruent circles in a square.
Series Title: Springer optimization and its applications, v. 6.
Responsibility: by P.G. Szábo [and others].
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From the reviews:"The book under review gives a detailed survey on the achievements of the last years on the problem of finding densest packings ... . The text is written in a very comprehensive and Read more...

 
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