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Discrete Geometry and Optimization (Paperback, Softcover reprint of the original 1st ed. 2013)
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Discrete Geometry and Optimization (Paperback, Softcover reprint of the original 1st ed. 2013)
Series: Fields Institute Communications, 69
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Optimization has long been a source of both inspiration and
applications for geometers, and conversely, discrete and convex
geometry have provided the foundations for many optimization
techniques, leading to a rich interplay between these subjects. The
purpose of the Workshop on Discrete Geometry, the Conference on
Discrete Geometry and Optimization, and the Workshop on
Optimization, held in September 2011 at the Fields Institute,
Toronto, was to further stimulate the interaction between geometers
and optimizers. This volume reflects the interplay between these
areas. The inspiring Fejes Toth Lecture Series, delivered by Thomas
Hales of the University of Pittsburgh, exemplified this approach.
While these fields have recently witnessed a lot of activity and
successes, many questions remain open. For example, Fields medalist
Stephen Smale stated that the question of the existence of a
strongly polynomial time algorithm for linear optimization is one
of the most important unsolved problems at the beginning of the
21st century. The broad range of topics covered in this volume
demonstrates the many recent and fruitful connections between
different approaches, and features novel results and
state-of-the-art surveys as well as open problems.
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