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» On empty convex polygons in a planar point set
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IJCGA
2010
91views more  IJCGA 2010»
14 years 9 months ago
Pareto Envelopes in Simple Polygons
For a set T of n points in a metric space (X, d), a point y X is dominated by a point x X if d(x, t) d(y, t) for all t T and there exists t T such that d(x, t ) < d(y, t )....
Victor Chepoi, Karim Nouioua, Edouard Thiel, Yann ...
CCCG
2009
15 years 22 days ago
On Directed Graphs with an Upward Straight-line
In this paper we study the problem of computing an upward straight-line embedding of a directed graph G into a point set S, i.e. a planar drawing of G such that each vertex is map...
Carla Binucci, Emilio Di Giacomo, Walter Didimo, A...
ESA
2008
Springer
94views Algorithms» more  ESA 2008»
15 years 1 months ago
Relative Convex Hulls in Semi-dynamic Subdivisions
Abstract. We present data structures for maintaining the relative convex hull of a set of points (sites) in the presence of pairwise non-crossing line segments (barriers) that subd...
Mashhood Ishaque, Csaba D. Tóth
IPL
2006
98views more  IPL 2006»
14 years 11 months ago
Transforming spanning trees and pseudo-triangulations
Let TS be the set of all crossing-free straight line spanning trees of a planar n-point set S. Consider the graph TS where two members T and T of TS are adjacent if T intersects T...
Oswin Aichholzer, Franz Aurenhammer, Clemens Hueme...
SODA
1992
ACM
140views Algorithms» more  SODA 1992»
15 years 23 days ago
Separation and Approximation of Polyhedral Objects
Given a family of disjoint polygons P1, P2, : : :, Pk in the plane, and an integer parameter m, it is NP-complete to decide if the Pi's can be pairwise separated by a polygon...
Joseph S. B. Mitchell, Subhash Suri