Title
Towards Gathering Robots with Limited View in Linear Time: The Closed Chain Case.
Abstract
In the gathering problem, n autonomous robots have to meet on a single point. We consider the gathering of a closed chain of point-shaped, anonymous robots on a grid. The robots only have local knowledge about a constant number of neighboring robots along the chain in both directions. Actions are performed in the fully synchronous time model FSYNC. Every robot has a limited memory that may contain one timestamp of the global clock, also visible to its direct neighbors. In this synchronous time model, there is no limited view gathering algorithm known to perform better than in quadratic runtime. The configurations that show the quadratic lower bound are closed chains. In this paper, we present the first sub-quadratic---in fact linear time---gathering algorithm for closed chains on a grid.
Year
Venue
Field
2015
arXiv: Distributed, Parallel, and Cluster Computing
Computer science,Upper and lower bounds,Quadratic equation,Time model,Timestamp,Robot,Time complexity,Grid,Distributed computing
DocType
Volume
Citations 
Journal
abs/1501.04877
0
PageRank 
References 
Authors
0.34
10
4
Name
Order
Citations
PageRank
Sebastian Abshoff1122.66
Andreas Cord-Landwehr2564.97
Daniel Jung393.27
Friedhelm Meyer auf der Heide41744238.01