Helly-type theorems and Generalized Linear Programming

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

Reference26 articles.

1. N. Amenta. Finding a line transversal of axial objects in three dimensionsProceeding of the 3rd Annual ACM-SIAM Symposium on Discrete Algorithms, 1992, pages 66–71.

2. B. Aronov, J. E. Goodman, R. Pollack, and R. Wenger. There is no Hadwiger number for line transversals in higher dimensions. Unpublished manuscript, cited in [GPW], Theorem 2.9.

3. D. Avis and M. Doskas. Algorithms for high dimensional stabbing problems,Discrete Applied Mathematics, vol. 27 (1990), pages 39–48.

4. D. Avis and M. E. Houle. Computational aspects of Helly’s theorem and its relatives,Proceedings of the Third Canadian Conference on Computational Geometry, 1991, pages 11–14.

5. B. Chazelle and J. Matoušek. On linear-time deterministic algorithms for optimization problems in fixed dimension,Proceeding of the 4th Annual ACM-SIAM Symposium on Discrete Algorithms, 1993, pages 281–290.

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