Combinatorial and Computational Geometry

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Paperback | 2 June 2011

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630 Pages

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23.39 x 15.6 x 3.23

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During the past few decades, the gradual merger of Discrete Geometry and the newer discipline of Computational Geometry has provided enormous impetus to mathematicians and computer scientists interested in geometric problems. This 2005 volume, which contains 32 papers on a broad range of topics of current interest in the field, is an outgrowth of that synergism. It includes surveys and research articles exploring geometric arrangements, polytopes, packing, covering, discrete convexity, geometric algorithms and their complexity, and the combinatorial complexity of geometric objects, particularly in low dimension. There are points of contact with many applied areas such as mathematical programming, visibility problems, kinetic data structures, and biochemistry, as well as with algebraic topology, geometric probability, real algebraic geometry, and combinatorics.

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Geometric approximation via core sets
Applications of graph and hypergraph theory in geometry
Convex geometry of orbits
The Hadwiger transversal theorem for pseudolines
Betti number bounds, applications, and algorithms
Shelling and the h-vector of the (extra-)ordinary polytope
On the number of mutually touching cylinders
Edge-antipodal 3-polytopes
A conformal energy for simplicial surfaces
On the size of higher-dimensional triangulations
The carpenter's ruler folding problem
A survey of folding and unfolding in computational geometry
On the rank of a tropical matrix
The geometry of biomolecular solvation
Inequalities for zonotopes
Quasiconvex programming
De Concini-Procesi wonderful arrangement models - a discrete geometer's point of view
Thinnest covering of a circle by eight, nine, or ten congruent circles
On the complexity of visibility problems with moving viewpoints
Cylindrical partitions of convex bodies
Tropical halfspaces
Two proofs for Sylvester's problem using an allowable sequence of permutations
A comparison of five implementations of 3d Delaunay tessellation
Bernstein's basis and real root isolation
On some extremal problems in combinatorial geometry
A long non-crossing path among disjoint segments in the plane
On a generalization of Schoenhardt's polyhedron
On Hadwiger numbers of direct products of convex bodies
Binary space partitions - recent developments
Erdos-Szekeres theorem: upper bounds and related results
On the pair-crossing number
Geometric random walks: a survey
Table of Contents provided by Publisher. All Rights Reserved.

Combinatorial and Computational Geometry

At a Glance

Paperback

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How to return your order

Defective items

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