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Discrete and Computational Geometry: The Goodman-Pollack Festschrift (Algorithms and Combinatorics)
 
 
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Discrete and Computational Geometry: The Goodman-Pollack Festschrift (Algorithms and Combinatorics) [Hardcover]

Boris Aronov (Editor), Saugata Basu (Editor), János Pach (Editor), Micha Sharir (Editor)

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Book Description

August 13, 2003 Algorithms and Combinatorics (Book 25)

An impressive collection of original research papers in discrete and computational geometry, contributed by many leading researchers in these fields, as a tribute to Jacob E. Goodman and Richard Pollack, two of the ‘founding fathers’ of the area, on the occasion of their 2/3 x 100 birthdays. The topics covered by the 41 papers provide professionals and graduate students with a comprehensive presentation of the state of the art in most aspects of discrete and computational geometry, including geometric algorithms, study of arrangements, geometric graph theory, quantitative and algorithmic real algebraic geometry, with important connections to algebraic geometry, convexity, polyhedral combinatorics, the theory of packing, covering, and tiling. The book serves as an invaluable source of reference in this discipline.


Editorial Reviews

From the Back Cover

This is an impressive collection of original research papers in discrete and computational geometry, contributed by many leading researchers in these fields, as a tribute to Jacob E. Goodman and Richard Pollack, two of the `founding fathers' of the area, on the occasion of their 2/3 x 100 birthdays. The topics covered by the 41 papers provide professionals and graduate students with a comprehensive presentation of the state of the art in most aspects of discrete and computational geometry, including geometric algorithms, arrangements, geometric graph theory and quantitative and algorithmic real algebraic geometry, with important connections to algebraic geometry, convexity, polyhedral combinatorics, and the theory of packing, covering, and tiling.

The book will serve as an invaluable source of reference in this discipline, and an indispensible component of the library of anyone working in the above areas.


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Inside This Book (learn more)
First Sentence:
The arrangement A( ) of a finite collection of curves or surfaces in Rd is the decomposition of the space into relatively open connected cells of dimensions 0,..., d induced by , where each cell is a maximal connected set of points lying in the intersection of a fixed subset of and avoiding all other elements of . Read the first page
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
halving triangles, boundary sample points, interior sample points, convex partition number, cross ratio phases, partial match problem, affine point configuration, abstract order types, one hinge point, cocone neighbor, crosses aff, infeasible arrangement, underlying abstract polyhedron, equal spherical balls, turnpike problem, turnpike reconstruction, cylindrical cell decomposition, magic arrays, greedy flip algorithm, one red point, coinciding vertices, balanced subdivisions, central simplex, cyclic chromatic number, weighted square distance
Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York, Discrete Comput, Theory Ser, Cambridge University Press, Theory Appl, Fejes Tóth, London Math, Boca Raton, Department of Mathematics, North Holland, Symbolic Comput, Academic Press, Discrete Appl, Rotating Convex Bodies, Charles University, Dense Packings of Congruent Circles, Generalized Lower Bound Theorem, Handbook of Convex Geometry, Hungarian Academy of Sciences, Las Vergnas, Nearest Neighbor Lower Bound, Springer Verlag, Stony Brook, Zvi Schur, Acknowledgments Work
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