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SODA
2004
ACM
115views Algorithms» more  SODA 2004»
13 years 6 months ago
Minimizing the stabbing number of matchings, trees, and triangulations
The (axis-parallel) stabbing number of a given set of line segments is the maximum number of segments that can be intersected by any one (axis-parallel) line. We investigate probl...
Sándor P. Fekete, Marco E. Lübbecke, H...
STOC
1995
ACM
115views Algorithms» more  STOC 1995»
13 years 9 months ago
Geometric lower bounds for parametric matroid optimization
We relate the sequence of minimum bases of a matroid with linearly varying weights to three problems from combinatorial geometry: k-sets, lower envelopes of line segments, and con...
David Eppstein
STACS
2007
Springer
13 years 11 months ago
Light Orthogonal Networks with Constant Geometric Dilation
An orthogonal spanner network for a given set of n points in the plane is a plane straight line graph with axis-aligned edges that connects all input points. We show that for any ...
Adrian Dumitrescu, Csaba D. Tóth
JACM
2010
135views more  JACM 2010»
13 years 3 months ago
A dynamic data structure for 3-D convex hulls and 2-D nearest neighbor queries
We present a fully dynamic randomized data structure that can answer queries about the convex hull of a set of n points in three dimensions, where insertions take O(log3 n) expect...
Timothy M. Chan
MOBIHOC
2012
ACM
11 years 8 months ago
Oblivious low-congestion multicast routing in wireless networks
We propose a routing scheme to implement multicast communication in wireless networks. The scheme is oblivious, compact, and completely decentralized. It is intended to support dy...
Antonio Carzaniga, Koorosh Khazaei, Fabian Kuhn