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CDC
2008
IEEE
109views Control Systems» more  CDC 2008»
14 years 2 months ago
Control of acyclic formations of mobile autonomous agents
— This paper proposes distributed control laws for maintaining the shape of a formation of mobile autonomous agents in the plane for which the desired shape is defined in terms ...
Ming Cao, Brian D. O. Anderson, A. Stephen Morse, ...
ICALP
2007
Springer
14 years 1 months ago
Size Competitive Meshing Without Large Angles
We present a new meshing algorithm for the plane, Overlay Stitch Meshing (OSM), accepting as input an arbitrary Planar Straight Line Graph and producing a triangulation with all an...
Gary L. Miller, Todd Phillips, Donald Sheehy
CCCG
2008
13 years 9 months ago
Computing the Stretch Factor of Paths, Trees, and Cycles in Weighted Fixed Orientation Metrics
Let G be a graph embedded in the L1-plane. The stretch factor of G is the maximum over all pairs of distinct vertices p and q of G of the ratio LG 1 (p, q)/L1(p, q), where LG 1 (p...
Christian Wulff-Nilsen
COMGEO
2011
ACM
13 years 2 months ago
A computational approach to Conway's thrackle conjecture
A drawing of a graph in the plane is called a thrackle if every pair of edges meets precisely once, either at a common vertex or at a proper crossing. Let t(n) denote the maximum ...
Radoslav Fulek, János Pach
WG
2010
Springer
13 years 6 months ago
Network Exploration by Silent and Oblivious Robots
In this paper we investigate the basic problem of Exploration of a graph by a group of identical mobile computational entities, called robots, operating autonomously and asynchrono...
Jérémie Chalopin, Paola Flocchini, B...