Searching for empty convex polygons

Proceedings of the 4th Annual Symposium on Computational Geometry, SCG 1988

Volumn , Issue , 1988, Pages 224-228

  Dobkin, David P ^a   Edelsbrunner, Herbert ^b   Overmars, Mark H ^c  

^a PRINCETON UNIVERSITY   (United States)

^b UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

^c UTRECHT UNIVERSITY   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

CLUSTERING ALGORITHMS; GEOMETRY;

CONVEX POLYGON; HIGHER DIMENSIONS; LINEAR-TIME ALGORITHMS; OPTIMAL ALGORITHM; POINT SET; STAR-SHAPED POLYGONS;

COMPUTATIONAL GEOMETRY;

EID: 0345744516     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1145/73393.73416     Document Type: Conference Paper

References (11)

1. Avis, D. and Rappaport, D., Computing the largest empty convex subset of a set of points, In "Proc. 1st Ann. ACM Sympos. Comput. Geom. 1985", 161-167.
2. Bárányi, I. and Füredi, Z., Empty simplices in Euclidean space, Rep. 689, School Oper. Res. Industr. Engin., Cornell Univ., Ithaca, NY, 1987.
3. Chazelle, B., Guibas, L. and Lee, D., The power of geometric duality, BIT 25 (1985), 76-90.
4. Edelsbrunner, H. and Guibas, L., Topologically sweeping an arrangement, In "Proc. 18th Ann. ACM Sympos. Theory Comput. 1986", 389-403.
5. Edelsbrunner, H., O'Rourke, J. and Seidel, R., Constructing arrangements of lines and hyperplanes with applications, SIAM J. Computing 15 (1986), 341-363.
6. Erdös, P., Combinatorial problems in geometry and number theory, Proc. Sympos. Pure Math. 34 (1979), 149-162.
7. Harborth, H., Konvex Fünfecke in ebenen Punktmengen, Eiern. Math. 33 (1978), 116-118.
8. Hershberger, J., Finding the visibility graph of a simple polygon in time proportional to its size, In "Proc. 3rd Ann. ACM Sympos. Comput. Geom. 1987", 11-20.
9. Horton, J.D., Sets with no empty convex 7-gons, Canad. Math. Bull. 26 (1983), 482-484.
10. Kung, H.T., Luccio, F. and Preparata, F.P., On finding the maxima of a set of vectors, J. Assoc. Comput. Mach. 22 (1975), 469-476.
11. Overmars, M.H., Scholten, B. and Vincent, I., Sets without empty convex 6-gons, Rep., Dept. Comput. Sci., Univ. Utrecht, the Netherlands, 1988.