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Relationships between nondeterministic and deterministic tape complexities
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MFCS'10 Proceedings of the 35th international conference on Mathematical foundations of computer science
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SSS'10 Proceedings of the 12th international conference on Stabilization, safety, and security of distributed systems
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FOMC '11 Proceedings of the 7th ACM ACM SIGACT/SIGMOBILE International Workshop on Foundations of Mobile Computing
Passively mobile communicating machines that use restricted space
Theoretical Computer Science
The computational power of simple protocols for self-awareness on graphs
SSS'11 Proceedings of the 13th international conference on Stabilization, safety, and security of distributed systems
Survey: Computational models for networks of tiny artifacts: A survey
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Proceedings of the 9th ACM symposium on Performance evaluation of wireless ad hoc, sensor, and ubiquitous networks
The computational power of simple protocols for self-awareness on graphs
Theoretical Computer Science
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We extend here the Population Protocol model of Angluin et al. [2] in order to model more powerful networks of very small resource-limited artefacts (agents) that are possibly mobile. The main feature of our extended model is to allow edges of the communication graph, G , to have states that belong to a constant size set. We also allow edges to have readable only costs , whose values also belong to a constant size set. Our protocol specifications are still independent of the population size and do not use agent ids, i.e. they preserve uniformity and anonymity . Our Mediated Population Protocols (MPP) can stably compute graph properties of the communication graph. We show this for the properties of maximal matchings (in undirected communication graphs), also for finding the transitive closure of directed graphs and for finding all edges of small cost. We demonstrate that our mediated protocols are stronger than the classical population protocols, by presenting a MPP for a non-semilinear predicate. To show this fact, we state and prove a general theorem about the composition of two stably computing mediated population protocols. We also show that all predicates stably computable in our model are (non-uniformly) in the class NSPACE (|E (G )|).