A short proof of an interesting helly-type theorem

Author:

Amenta N.

Publisher

Springer Science and Business Media LLC

Subject

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

Reference10 articles.

1. [C] K. L. Clarkson, Las Vegas algorithms for linear and integer programming when the dimension is small,Journal of the ACM 42 (1995), 488–499.

2. Proceedings of the Symposia on Pure Mathematics;L. Danzer,1963

3. [E] J. Eckhoff, Helly, Radon and Carathéody type theorems, inHandbook of Convex Geometry, P. M. Gruber and J. M. Wills, eds., Chapter 2.1. Elsevier, Amsterdam, 1993.

4. [GM] B. Grünbaum and T. S. Motzkin, On components in some families of sets,Proceedings of the American Mathematical Society 12 (1961), 607–613.

5. [HT] W. R. Hare and G. G. Thompson, Some generalized Helly-type theorems.Congressus Numerantium 67 (1988), 5–18.

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