Combinatorial Geometry and Its Algorithmic Applications

Combinatorial Geometry and Its Algorithmic Applications (Mathematical Surveys and Monographs, 152)

Based on a lecture series given by the authors at a satellite meeting of the 2006 International Congress of Mathematicians and on many articles written by them and their collaborators, this volume provides a comprehensive up-to-date survey of several core areas of combinatorial geometry. It describes the beginnings of the subject, going back to the nineteenth century (if not to Euclid), and explains why counting incidences and estimating the combinatorial complexity of various arrangements of geometric objects became the theoretical backbone of computational geometry in the 1980s and 1990s. The combinatorial techniques outlined in this book have found applications in many areas of computer science from graph drawing through hidden surface removal and motion planning to frequency allocation in cellular networks. Combinatorial Geometry and Its Algorithmic Applications is intended as a source book for professional mathematicians and computer scientists as well as for graduate students interested in combinatorics and geometry. Most chapters start with an attractive, simply formulated, but often difficult and only partially answered mathematical question, and describes the most efficient techniques developed for its solution. The text includes many challenging open problems, figures, and an extensive bibliography.
Country USA
Manufacturer American Mathematical Society
Binding Hardcover
UnitCount 1
EANs 9780821846919
ReleaseDate 0000-00-00

Country	USA
Manufacturer	American Mathematical Society
Binding	Hardcover
UnitCount	1
EANs	9780821846919
ReleaseDate	0000-00-00

Combinatorial Geometry and Its Algorithmic Applications (Mathematical Surveys and Monographs, 152)

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