Title
Deterministic Leader Election Among Disoriented Anonymous Sensors
Abstract
We address the Leader Election (LE) problem in networks of anonymous sensors sharing no kind of common coordinate system. Leader Election is a fundamental symmetry breaking problem in distributed computing. Its goal is to assign value 1 (leader) to one of the entities and value 0 (non-leader) to all others. In this paper, assuming n > 1 disoriented anonymous sensors, we provide a complete charac- terization on the sensors positions to deterministically elect a leader, provided that all the sensors' positions are known by every sensor. More precisely, our contribution is twofold: First, assuming n anonymous sensors agreeing on a common handedness (chirality) of their own coordinate system, we provide a complete characterization on the sensors positions to deterministically elect a leader. Second, we also provide such a complete chararacterization for sensors devoided of a common handedness. Both characterizations rely on a particular object from combinatorics on words, namely the Lyndon Words.
Year
Venue
Field
2012
CoRR
Leader election,Coordinate system,Symmetry breaking,Computer science,Theoretical computer science,Artificial intelligence,Lyndon words,Combinatorics on words,Distributed computing
DocType
Volume
Citations 
Journal
abs/1202.4486
0
PageRank 
References 
Authors
0.34
9
4
Name
Order
Citations
PageRank
Yoann Dieudonné122119.88
Florence Levé25110.20
Franck Petit373660.02
Vincent Villain454445.77