The Sharpest Cut: The Impact of Manfred Padberg and His Work (MPS-SIAM Series on Optimization, Series Number 4) by Martin Grötschel (PDF)

Description

The Sharpest Cut is written in honor of Manfred Padberg, who has made fundamental contributions to both the theoretical and computational sides of integer programming and combinatorial optimization. This outstanding collection presents recent results in these areas that are closely connected to Padberg’s research. His deep commitment to the geometrical approach to combinatorial optimization can be felt throughout this volume; his search for increasingly better and computationally efficient cutting planes gave rise to its title. The peer-reviewed papers contained here are based on invited lectures given at a workshop held in October 2001 to celebrate Padberg’s 60th birthday. Grouped by topic (packing, stable sets, and perfect graphs; polyhedral combinatorics; general polytopes; semidefinite programming; computation), many of the papers set out to solve challenges set forth in Padberg’s work. The book also shows how Padberg’s ideas on cutting planes have influenced modern commercial optimization software.

User’s Reviews

Editorial Reviews: Book Description This collection presents recent results in the areas of theoretical and computational sides of integer programming and combinatorial optimization. About the Author Manfred Padberg was Research Professor, Stern School of Business, New York University until 2002. Over the course of his career he received many honors for his work, including the Lanchester Prize, Dantzig Prize, and the John von Neuman Theory Prize. He has published six books and over 100 articles.

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