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COMPGEOM
1992
ACM
15 years 1 months ago
Piercing Convex Sets
A family of sets has the (p, q) property if among any p members of the family some q have a nonempty intersection. It is shown that for every p q d + 1 there is a c = c(p, q, d)...
Noga Alon, Daniel J. Kleitman
COMPGEOM
1990
ACM
15 years 1 months ago
Finding Compact Coordinate Representations for Polygons and Polyhedra
Practical solid modeling systems are plagued by numerical problems that arise from using oatingpoint arithmetic. For example, polyhedral solids are often represented by a combinat...
Victor Milenkovic, Lee R. Nackman
CAAN
2007
Springer
15 years 1 months ago
Nonadaptive Selfish Routing with Online Demands
We study the efficiency of selfish routing problems in which traffic demands are revealed online. We go beyond the common Nash equilibrium concept in which possibly all players rer...
Tobias Harks, László A. Végh
COMPGEOM
2007
ACM
15 years 1 months ago
On the hardness of minkowski addition and related operations
For polytopes P, Q Rd we consider the intersection P Q; the convex hull of the union CH(P Q); and the Minkowski sum P + Q. We prove that given rational H-polytopes P1, P2, Q it...
Hans Raj Tiwary
COMPGEOM
2007
ACM
15 years 1 months ago
Streaming algorithms for line simplification
We study the following variant of the well-known line-simplification problem: we are getting a possibly infinite sequence of points p0, p1, p2, . . . in the plane defining a polyg...
Mohammad Ali Abam, Mark de Berg, Peter Hachenberge...