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SODA
2004
ACM
115views Algorithms» more  SODA 2004»
13 years 8 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 10 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
14 years 1 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 5 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 9 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