Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Arbitrary Pattern Formation on Infinite Grid by Asynchronous Oblivious
  Robots   The Arbitrary Pattern Formation problem asks to design a distributed
algorithm that allows a set of autonomous mobile robots to form any specific
but arbitrary geometric pattern given as input. The problem has been
extensively studied in literature in continuous domains. This paper
investigates a discrete version of the problem where the robots are operating
on a two dimensional infinite grid. The robots are assumed to be autonomous,
identical, anonymous and oblivious. They operate in Look-Compute-Move cycles
under a fully asynchronous scheduler. The robots do not agree on any common
global coordinate system or chirality. We have shown that a set of robots can
form any arbitrary pattern, if their starting configuration is asymmetric.

15
The categories of this paper are: nucl-ex
9
The categories of this paper are: nlin
22
The categories of this paper are: chao-dyn
23
The categories of this paper are: solv-int
19
The categories of this paper are: eess
2
The categories of this paper are: math
3
The categories of this paper are: physics
37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
4
The categories of this paper are: cond-mat
26
The categories of this paper are: bayes-an
18
The categories of this paper are: econ
36
The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys
28
The categories of this paper are: alg-geom
34
The categories of this paper are: chem-ph