Quantitative Helly-Type Theorem for the Diameter of Convex Sets-Reference-Cited by-同舟云学术

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Quantitative Helly-Type Theorem for the Diameter of Convex Sets

Published:2016-11-22 Issue:2 Volume:57 Page:494-505
ISSN:0179-5376
Container-title:Discrete & Computational Geometry
language:en
Short-container-title:Discrete Comput Geom

Author:

Brazitikos Silouanos

Funder

Alexander S. Onassis Public Benefit Foundation

Publisher

Springer Science and Business Media LLC

Subject

Computational Theory and Mathematics,Discrete Mathematics and Combinatorics,Geometry and Topology,Theoretical Computer Science

Link

http://link.springer.com/content/pdf/10.1007/s00454-016-9840-0.pdf

Reference16 articles.

1. Mathematical Surveys and Monographs;S Artstein-Avidan,2015

2. Ball, K.M., Pajor, A.: Convex bodies with few faces. Proc. Am. Math. Soc. 110(1), 225–231 (1990)

3. Bárány, I., Katchalski, M., Pach, J.: Quantitative Helly-type theorems. Proc. Am. Math. Soc. 86, 109–114 (1982)

4. Bárány, I., Katchalski, M., Pach, J.: Helly’s theorem with volumes. Am. Math. Mon. 91, 362–365 (1984)

5. Barvinok, A.: Thrifty approximations of convex bodies by polytopes. Int. Math. Res. Not. 2014(16), 4341–4356 (2014)

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