Geometric Algorithms and Combinatorial Optimization /
This book develops geometric techniques for proving the polynomial time solvability of problems in convexity theory, geometry, and, in particular, combinatorial optimization. It offers a unifying approach which is based on two fundamental geometric algorithms: the ellipsoid method for finding a poin...
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| Other Authors: | , |
| Format: | eBook |
| Language: | English |
| Published: |
Berlin, Heidelberg :
Springer Berlin Heidelberg,
1993.
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| Edition: | Second corrected edition. |
| Series: | Algorithms and combinatorics ;
2. |
| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
| Summary: | This book develops geometric techniques for proving the polynomial time solvability of problems in convexity theory, geometry, and, in particular, combinatorial optimization. It offers a unifying approach which is based on two fundamental geometric algorithms: the ellipsoid method for finding a point in a convex set and the basis reduction method for point lattices. This book is a continuation and extension of previous research of the authors for which they received the Fulkerson prize, awarded by the Mathematical Programming Society and the American Mathematical Society. The first edition of this book was received enthusiastically by the community of discrete mathematicians, combinatorial optimizers, operations researchers, and computer scientists. To quote just from a few reviews: "The book is written in a very grasping way, legible both for people who are interested in the most important results and for people who are interested in technical details and proofs." #manuscripta geodaetica#1. |
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| Item Description: | Electronic resource. |
| Physical Description: | 1 online resource (xii, 362 pages 23 illustrations) |
| ISBN: | 9783642782404 (electronic bk.) 364278240X (electronic bk.) |
| ISSN: | 0937-5511 ; |