Infinite Grid Exploration by Disoriented Robots

@inproceedings{Bramas2019InfiniteGE,
  title={Infinite Grid Exploration by Disoriented Robots},
  author={Quentin Bramas and St{\'e}phane Devismes and Pascal Lafourcade},
  booktitle={SIROCCO},
  year={2019}
}
We deal with a set of autonomous robots moving on an infinite grid. Those robots are opaque, have limited visibility capabilities, and run using synchronous Look-Compute-Move cycles. They all agree on a common chirality, but have no global compass. Finally, they may use lights of different colors, but except from that, robots have neither persistent memories, nor communication mean. We consider the infinite grid exploration (IGE) problem. For this problem we give two impossibility results and… 
Brief Announcement: Infinite Grid Exploration by Disoriented Robots
TLDR
This work considers the infinite grid exploration (IGE) problem, and shows that two robots are not sufficient in settings to solve the problem, even when robots have a common coordinate system.
D C ] 6 J un 2 01 9 Infinite Grid Exploration by Disoriented Robots ∗
TLDR
This work considers the infinite grid exploration (IGE) problem, and presents three algorithms that solve the IGE problem in various settings, including one which is optimal in terms of number of robots.
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Swarms of luminous myopic opaque robots that run in synchronous Look-Compute-Move cycles, which have no global compass, but agree on a common chirality are considered, and optimal solutions to the perpetual exploration of a finite grid are proposed.
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References

SHOWING 1-10 OF 20 REFERENCES
Mutual Visibility by Asynchronous Robots on Infinite Grid
TLDR
This paper considers the luminous robots model, in which each robot is equipped with an externally visible light which can assume a constant number of predefined colors, and proposes a distributed algorithm which solves the Mutual Visibility problem in a grid based terrain.
Gathering Multiple Robots in a Ring and an Infinite Grid
TLDR
This paper has developed two algorithms to gather multiple robots at a single node (not known beforehand) of a Ring Graph and an infinite Grid, in finite time.
Optimal Grid Exploration by Asynchronous Oblivious Robots
TLDR
It is shown that except in two particular cases, 3 robots are necessary and sufficient to deterministically explore a grid of at least three nodes and the optimal number of robots for the two remaining cases is 5.
Asynchronous Exclusive Perpetual Grid Exploration without Sense of Direction
TLDR
This paper investigates the exclusive perpetual exploration of grid shaped networks using anonymous, oblivious and fully asynchronous robots, and proves that three deterministic robots are necessary and sufficient, provided that the size of the grid is n ×m with 3≤n≤m or n=2 and m≥4.
Arbitrary Pattern Formation on Infinite Grid by Asynchronous Oblivious Robots
TLDR
A discrete version of the Arbitrary Pattern Formation problem where the robots are operating on a two dimensional infinite grid is investigated, it is shown that a set of robots can form any arbitrary pattern, if their starting configuration is asymmetric.
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