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SIAMDM
2011
14 years 11 months ago
On Maximal S-Free Convex Sets
Let S ⊆ Zn satisfy the property that conv(S) ∩ Zn = S. Then a convex set K is called an S-free convex set if int(K) ∩ S = ∅. A maximal S-free convex set is an S-free convex...
Diego A. Morán R., Santanu S. Dey
SODA
2008
ACM
123views Algorithms» more  SODA 2008»
15 years 5 months ago
Delaunay graphs of point sets in the plane with respect to axis-parallel rectangles
Given a point set P in the plane, the Delaunay graph with respect to axis-parallel rectangles is a graph defined on the vertex set P, whose two points p, q P are connected by an ...
Xiaomin Chen, János Pach, Mario Szegedy, G&...
MFCS
2005
Springer
15 years 10 months ago
Regular Sets of Higher-Order Pushdown Stacks
Abstract. It is a well-known result that the set of reachable stack contents in a pushdown automaton is a regular set of words. We consider the more general case of higher-order pu...
Arnaud Carayol
FSTTCS
2007
Springer
15 years 10 months ago
Triangulations of Line Segment Sets in the Plane
Given a set S of line segments in the plane, we introduce a new family of partitions of the convex hull of S called segment triangulations of S. The set of faces of such a triangul...
Mathieu Brévilliers, Nicolas Chevallier, Do...
COMPGEOM
2004
ACM
15 years 10 months ago
Separating point sets in polygonal environments
We consider the separability of two point sets inside a polygon by means of chords or geodesic lines. Specifically, given a set of red points and a set of blue points in the inte...
Erik D. Demaine, Jeff Erickson, Ferran Hurtado, Jo...