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FLAIRS
2004
13 years 7 months ago
Splitting Ratios: Metric Details of Topological Line-Line Relations
Within the geographic domain, an important class of relies on geometric abstractions in the form of lines where, for instance, transportation networks and trajectories of movement...
Konstantinos A. Nedas, Max J. Egenhofer
GC
2006
Springer
13 years 6 months ago
Alternating Paths along Axis-Parallel Segments
It is shown that for a set S of n pairwise disjoint axis-parallel line segments in the plane there is a simple alternating path of length ( n). This bound is best possible in the...
Csaba D. Tóth
GD
2009
Springer
13 years 11 months ago
Fast Edge-Routing for Large Graphs
To produce high quality drawings of graphs with nodes drawn as shapes it is important to find routes for the edges which do not intersect node boundaries. Recent work in this area...
Tim Dwyer, Lev Nachmanson
ALGOSENSORS
2009
Springer
14 years 28 days ago
Approximating Barrier Resilience in Wireless Sensor Networks
Barrier coverage in a sensor network has the goal of ensuring that all paths through the surveillance domain joining points in some start region S to some target region T will inte...
Sergey Bereg, David G. Kirkpatrick
STOC
2003
ACM
153views Algorithms» more  STOC 2003»
14 years 6 months ago
Sublinear geometric algorithms
We initiate an investigation of sublinear algorithms for geometric problems in two and three dimensions. We give optimal algorithms for intersection detection of convex polygons a...
Bernard Chazelle, Ding Liu, Avner Magen