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ISAAC
2007
Springer
124views Algorithms» more  ISAAC 2007»
14 years 2 months ago
Approximating the Crossing Number of Toroidal Graphs
Abstract. CrossingNumber is one of the most challenging algorithmic problems in topological graph theory, with applications to graph drawing and VLSI layout. No polynomial time con...
Petr Hlinený, Gelasio Salazar
CCCG
2008
13 years 9 months ago
Exact Pareto-Optimal Coordination of Two Translating Polygonal Robots on a Cyclic Roadmap
We consider planning optimal collision-free motions of two polygonal robots under translation. Each robot has a reference point that must lie on a given graph, called a roadmap, w...
Hamid Reza Chitsaz, Steven M. LaValle, Jason M. O'...
SODA
2010
ACM
248views Algorithms» more  SODA 2010»
14 years 5 months ago
Approximating the Crossing Number of Graphs Embeddable in Any Orientable Surface
The crossing number of a graph is the least number of pairwise edge crossings in a drawing of the graph in the plane. We provide an O(n log n) time constant factor approximation al...
Petr Hlineny, Markus Chimani
DCG
1998
53views more  DCG 1998»
13 years 7 months ago
Motion Planning in Environments with Low Obstacle Density
We present a simple and e cient paradigm for computing the exact solution of the motionplanning problem in environments with a low obstacle density. Such environments frequently o...
A. Frank van der Stappen, Mark H. Overmars, Mark d...
ASPDAC
2007
ACM
136views Hardware» more  ASPDAC 2007»
13 years 12 months ago
A Fast and Stable Algorithm for Obstacle-Avoiding Rectilinear Steiner Minimal Tree Construction
- In routing, finding a rectilinear Steiner minimal tree (RSMT) is a fundamental problem. Today's design often contains rectilinear obstacles, like macro cells, IP blocks, and...
Pei-Ci Wu, Jhih-Rong Gao, Ting-Chi Wang