Towards Gathering Robots with Limited View in Linear Time: The Closed Chain Case

S. Abshoff, A. Andreas Cord-Landwehr, D. Jung, F. Meyer auf der Heide, ArXiv: 1501.04877 (2015).

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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.
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ArXiv: 1501.04877
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Abshoff S, Andreas Cord-Landwehr A, Jung D, Meyer auf der Heide F. Towards Gathering Robots with Limited View in Linear Time: The Closed  Chain Case. ArXiv: 150104877. 2015.
Abshoff, S., Andreas Cord-Landwehr, A., Jung, D., & Meyer auf der Heide, F. (2015). Towards Gathering Robots with Limited View in Linear Time: The Closed  Chain Case. ArXiv: 1501.04877.
@article{Abshoff_Andreas Cord-Landwehr_Jung_Meyer auf der Heide_2015, title={Towards Gathering Robots with Limited View in Linear Time: The Closed  Chain Case}, journal={ArXiv: 1501.04877}, author={Abshoff, Sebastian and Andreas Cord-Landwehr, Andreas and Jung, Daniel and Meyer auf der Heide, Friedhelm}, year={2015} }
Abshoff, Sebastian, Andreas Andreas Cord-Landwehr, Daniel Jung, and Friedhelm Meyer auf der Heide. “Towards Gathering Robots with Limited View in Linear Time: The Closed  Chain Case.” ArXiv: 1501.04877, 2015.
S. Abshoff, A. Andreas Cord-Landwehr, D. Jung, and F. Meyer auf der Heide, “Towards Gathering Robots with Limited View in Linear Time: The Closed  Chain Case,” ArXiv: 1501.04877. 2015.
Abshoff, Sebastian, et al. “Towards Gathering Robots with Limited View in Linear Time: The Closed  Chain Case.” ArXiv: 1501.04877, 2015.

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