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COMPGEOM
2004
ACM
14 years 25 days ago
Deformable spanners and applications
For a set S of points in Rd, an s-spanner is a graph on S such that any pair of points is connected via some path in the spanner whose total length is at most s times the Euclidea...
Jie Gao, Leonidas J. Guibas, An Nguyen
WG
2010
Springer
13 years 5 months ago
Connections between Theta-Graphs, Delaunay Triangulations, and Orthogonal Surfaces
Θk-graphs are geometric graphs that appear in the context of graph navigation. The shortest-path metric of these graphs is known to approximate the Euclidean complete graph up to...
Nicolas Bonichon, Cyril Gavoille, Nicolas Hanusse,...
DCG
2008
86views more  DCG 2008»
13 years 7 months ago
Efficient Algorithms for Maximum Regression Depth
We investigate algorithmic questions that arise in the statistical problem of computing lines or hyperplanes of maximum regression depth among a set of n points. We work primarily...
Marc J. van Kreveld, Joseph S. B. Mitchell, Peter ...
COMPGEOM
2007
ACM
13 years 11 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...
JUCS
2007
148views more  JUCS 2007»
13 years 7 months ago
Analysis of two Sweep-line Algorithms for Constructing Spanning Trees and Steiner Trees
: We give a tight analysis of an old and popular sweep-line heuristic for constructing a spanning tree of a set of n points in the plane. The algorithm sweeps a vertical line acros...
Adrian Dumitrescu, Csaba D. Tóth