Title
Leader election in plane cellular automata, only with left-right global convention.
Abstract
We give a linear time algorithm to elect a leader. This problem originated in networking and distributed computing research. Given a graph, its vertices represent processors (here finite state machines), and its edges communication lines (here synchronous). The leader election problem consists in finding a protocol for a family of graphs which, upon iteration, distinguishes a vertex, edge or cycle by a special state called leader. Here, the graphs are only required to be connected, and without holes. We describe the algorithm on a special class of planar graphs, prove its correctness and show how it extends to other classes.
Year
DOI
Venue
2004
10.1016/j.tcs.2004.02.009
Theor. Comput. Sci.
Keywords
DocType
Volume
Graph automata,Leader election,Euclidean cellular automata,Hyperbolic cellular automata,Distributed algorithms
Journal
319
Issue
ISSN
Citations 
1-3
0304-3975
0
PageRank 
References 
Authors
0.34
15
3
Name
Order
Citations
PageRank
Codrin Nichitiu1495.73
Christophe Papazian2142.70
Eric Rémila332945.22