Title
Self-stabilizing gathering with strong multiplicity detection
Abstract
In this paper, we investigate the possibility to deterministically solve the gathering problem starting from an arbitrary configuration with weak robots, i.e., anonymous, autonomous, disoriented, oblivious, and devoid of means of communication. By starting from an arbitrary configuration, we mean that robots are not required to be located at distinct positions in the initial configuration. We introduce strong multiplicity detection as the ability for the robots to detect the exact number of robots located at a given position. We show that with strong multiplicity detection, there exists a deterministic algorithm solving the gathering problem starting from an arbitrary configuration for n robots if, and only if, n is odd.
Year
DOI
Venue
2012
10.1016/j.tcs.2011.12.010
Theor. Comput. Sci.
Keywords
DocType
Volume
distinct position,strong multiplicity detection,deterministic algorithm,initial configuration,weak robot,gathering problem,n robot,arbitrary configuration,exact number,Self-stabilizing gathering
Journal
428,
ISSN
Citations 
PageRank 
0304-3975
4
0.48
References 
Authors
14
2
Name
Order
Citations
PageRank
Yoann Dieudonné122119.88
Franck Petit273660.02