Chapter: Convexity and Discrete Optimization

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Home > Handbook of Convex Geometry, Part A > Convexity and Discrete Optimization

Handbook of Convex Geometry, Part A |

Peter M. Gruber

North-Holland

Convexity and Discrete Optimization

Chapter Info

Authors

Rainer E. BURKARD

ARI Id

1665470770283_16922408

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Not Available Free

Pages

675-698

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Chapters/Headings	Author(s)	Pages	Info
History of Convexity	Peter M. GRUBER
Classical Convexity
Characterizations of Convex Sets	Peter MANI-LEVITSKA	19-41
Mixed Volumes	J.R. SANGWINE-YAGER	43-71
The Standard Isoperimetric Theorem	Giorgio TALENTI	73-123
Stability of Geometric Inequalities	H. GROEMER	125-150
Selected Affine Isoperimetric Inequalities	Erwin LUTWAK	151-176
Extremum Problems for Convex Discs and Polyhedra	A. FLORIAN	177-221
Rigidity	Robert CONNELLY	223-271
Convex Surfaces, Curvature and Surface Area Measures	Rolf SCHNEIDER	273-299
The Space of Convex Bodies	Peter M. GRUBER	301-318
Aspects of Approximation of Convex Bodies	Peter M. GRUBER	319-345
Special Convex Bodies	E. HEIL; H. MARTINI	347-385
Combinatorial Aspects of Convexity
Helly, Radon, and Carathéodory Type Theorems	Jürgen ECKHOFF	389-448
Problems in Discrete and Combinatorial Geometry	Peter SCHMITT	449-483
Combinatorial Aspects of Convex Polytopes	Margaret M. BAYER; Carl W. LEE	485-534
Polyhedral Manifolds	U. BREHM; J.M. WILLS	535-554
Oriented Matroids	J. BOKOWSKI	555-602
Algebraic Geometry and Convexity	G. EWALD	603-626
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