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portada Combinatorial Geometry and Its Algorithmic Applications. The Alcala Lectures
Type
Physical Book
Publisher
Author
Collection
Mathematical Surveys and Monographs
Year
2009
Language
English
Format
Hardcover
ISBN13
9780821846919

Combinatorial Geometry and Its Algorithmic Applications. The Alcala Lectures

American Mathematical Society (Author) · American Mathematical Society · Hardcover

Combinatorial Geometry and Its Algorithmic Applications. The Alcala Lectures - American Mathematical Society

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Synopsis "Combinatorial Geometry and Its Algorithmic Applications. The Alcala Lectures"

Presents a survey of several core areas of combinatorial geometry. This book 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.

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.

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