Title
Accepting Hybrid Networks Of Evolutionary Processors With Special Topologies And Small Communication
Abstract
Starting from the fact that complete Accepting Hybrid Networks of Evolutionary Processors allow much communication between the nodes and are far from network structures used in practice, we propose in this paper three network topologies that restrict the communication: star networks, ring networks, and grid networks. We show that ring-AHNEPs can simulate 2-tag systems, thus we deduce the existence of a universal ring-AHNEP. For star networks or grid networks, we show a more general result; that is, each recursively enumerable language can be accepted efficiently by a star- or grid-AHNEP. We also present bounds for the size of these star and grid networks. As a consequence we get that each recursively enumerable can be accepted by networks with at most 13 communication channels and by networks where each node communicates with at most three other nodes.
Year
DOI
Venue
2010
10.4204/EPTCS.31.9
ELECTRONIC PROCEEDINGS IN THEORETICAL COMPUTER SCIENCE
Keywords
DocType
Volume
automata theory,formal language,computational complexity,network topology,ring network,communication channels
Journal
abs/1008.1
Issue
ISSN
Citations 
31
2075-2180
3
PageRank 
References 
Authors
0.39
7
2
Name
Order
Citations
PageRank
Jürgen Dassow1530118.27
Florin Manea237258.12