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ATAL
2008
Springer
13 years 11 months ago
A coordination mechanism for swarm navigation: experiments and analysis
We present an algorithm that allows swarms of robots to navigate in environments containing unknown obstacles, moving towards and spreading along 2D shapes given by implicit funct...
Leandro Soriano Marcolino, Luiz Chaimowicz
EUROS
2008
137views Robotics» more  EUROS 2008»
13 years 11 months ago
Reactive Trajectory Deformation to Navigate Dynamic Environments
Abstract. Path deformation is a technique that was introduced to generate robot motion wherein a path, that has been computed beforehand, is continuously deformed on-line in respon...
Vivien Delsart, Thierry Fraichard
GD
2006
Springer
14 years 25 days ago
On the Decay of Crossing Numbers
The crossing number cr(G) of a graph G is the minimum number of crossings over all drawings of G in the plane. In 1993, Richter and Thomassen [RT93] conjectured that there is a co...
Jacob Fox, Csaba D. Tóth
CCCG
1997
13 years 10 months ago
On the number of internal and external visibility edges of polygons
In this paper we prove that for any simple polygon P with n vertices, the sum of the number of strictly internal edges and the number of strictly external visibility edges of P is...
Jorge Urrutia
APPML
2005
67views more  APPML 2005»
13 years 9 months ago
Semiharmonic bicyclic graphs
Let the trunk of a graph G be the graph obtained by removing all leaves of G. We prove that, for every integer c 2, there are at most finitely many trunks of semiharmonic graphs ...
Stefan Grünewald, Dragan Stevanovic