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Field name	Details
Dewey Class	516.00285
Title	Twentieth Anniversary Volume: ([Ebook]) : Discrete & Computational Geometry / edited by Richard Pollack, JÃ¡nos Pach, Jacob E. Goodman.
Author	Pollack, Richard
Added Personal Name	Pach, János
Added Personal Name	Goodman, Jacob E.
Other name(s)	SpringerLink (Online service)
Publication	New York, NY : Springer , 2009.
Physical Details	: online resource.
ISBN	9780387873633
Summary Note	This commemorative book contains the 28 major articles that appeared in the 2008 Twentieth Anniversary Issue of the journal Discrete & Computational Geometry, and presents a comprehensive picture of the current state of the field. Formed during the past few decades by the merger of the classical discipline of combinatorial and discrete geometry with the new field of computational geometry that sprang up in the 1970s, discrete and computational geometry now claims the allegiance of a sizeable number of mathematicians and computer scientists all over the world, whose most important work has been appearing since 1986 in the pages of the journal. The articles in this volume, a number of which solve long-outstanding problems in the field, were chosen by the editors of DCG for the importance of their results, for the breadth of their scope, and to show the intimate connections that have arisen between discrete and computational geometry and other areas of both computer science and mathematics. Apart from the articles, the editors present an expanded preface, along with a set of photographs of groups and individuals who have played a major role in the history of the field during the past twenty years. Contributors include: E. Ackerman P.K. Agarwal I. Aliev I. BÃ¡rÃ¡ny A. Barvinok S. Basu L.J. Billera J.-D. Boissonnat C. Borcea E. Boros K. Borys B. Braun K. Buchin O. Cheong D. Cohen-Steiner M. Damian K. Elbassioni R. Flatland T. Gerken J.E. Goodman X. Goaoc P. Gronchi V. Gurvich S. Har-Peled J. Hershberger A. Holmsen S.K. Hsiao A. Hubard J. JerÃ³nimo L. Khachiyan R. Klein C. Knauer S. Langerman J.-Y. Lee M. Longinetti E. Miller P. Morin U. Nagel E. Nevo P. Niyogi I. Novik J. OâRourke J. Pach I. Pak M.J. Pelsmajer S. Petitjean F. Pfender R. Pinchasi R. Pollack J.S. Provan K. Przeslawski R.M. Richardson G. Rote M. Schaefer Y. Schreiber M. Sharir J.R. Shewchuk S. Smale B. Solomyak M. Soss D. Å tefankovic G. Vegter V.H. Vu S. Weinberger L. Wu D. Yost H. Yu T. Zell:
Contents note	Preface -- There are Not too Many Magic Configurations -- Computing the Detour and Spanning Ratio of Paths, Trees, and Cycles in 2D and 3D -- Robus Shape Fitting via Peeling and Grating Coresets -- Siegel's LEmaa and Sum-Distinct Sets -- Slicing Convex Sets and Measures by a Hyperplane -- A Centrally Symmetric Version of the Cyclic Polytope -- On Projections of Semi-Algebraic Sets Defined by Few Quadratic Inequalities -- Enumeration in Convex Geometries and Associated Polytopal Subdivisions of Spheres -- Isotopic Implicit Surface Meshing -- Line Transversals to Disjoint Balls -- Generating all Vertices of a Polyhedron is Hard -- Norm Bounds for Ehrhart Polynominal Roots -- Helly-Type Theorems for Line Transversals to Disjoint Unit Balls -- Grid Vertex-Unfolding Orthogonal Polyhedra -- Empty Convex Hexagons in Planar Point Sets -- Affinely Regular Polygons are Extremals of Area Functionals -- Improved Output-Sensitive Snap Rounding -- Pure Point Diffractive Substitution Delone Sets Have the Meyer Property -- Metric Combinatorics of Convex Polyhedra: Cut Loci and Nonoverlapping Unfoldings -- Empty Simplices of Polytopes and Graded Betti Numbers -- Rigidity and the Lower Bound Theorem for Doubly CohenâMacaulay Complexes -- Finding the Homology of Submanifolds with HIgh Confidence from Random Samples -- Odd Crossing Number and Crossing Number are Not the Same -- Visibility Graphs of Point Sets in the Plane -- Decomposability of Polytopes -- An Inscribing Model for Random Polytopes -- An Optimal-Time Algorithm for Shortest Paths on a Convex Polytope in Three Dimensions -- Genral-Dimensional Constrained Delaunay nad Constrained Regular Triangulation, I: Combinatorial Properties.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	http://dx.doi.org/10.1007/978-0-387-87363-3
Links to Related Works	Subject References: Algebraic Geometry . Computational Complexity . Computational Mathematics and Numerical Analysis . Computer Graphics . Convex and Discrete Geometry . Discrete groups . Discrete Mathematics in Computer Science . Geometry, Algebraic . Authors: editor . Goodman, Jacob E. . Pach, János . Pollack, Richard . Corporate Authors: SpringerLink (Online service) . Classification: 516.00285 . 516.00285 (DDC 22) .

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Twentieth Anniversary Volume: Discrete & Computational Geometry

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