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Mathematical Problems in Engineering
Article . 2014 . Peer-reviewed
License: CC BY
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Mathematical Problems in Engineering
Article
License: CC BY
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Article . 2014
Data sources: zbMATH Open
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Cellular Automata Supporting n‐Connectivity

Cellular automata supporting \(n\)-connectivity
Authors: Stamatovic, Biljana; Kosec, Gregor; Trobec, Roman; Xuan, Xiao; Stamatovic, Sinisa;

Cellular Automata Supporting n‐Connectivity

Abstract

We propose a new algorithm based on cellular automation (CA) for preserving n‐connectivity, n > 1. The CA algorithm transforms an initial grid configuration in a grid with same number of holes but without 1‐connected components. Also, maximal thinning of n‐connected components, n > 1, is achieved. The grid can be used as initial for investigating properties of initial grid. Computational performances are evaluated and measured on real cases. The obtained results indicate that the proposed approach achieves comparable complexity as standard approaches; however, the speed‐up and scalability of the proposed algorithm are not limited by the number of processing nodes.

Keywords

Cellular automata (computational aspects), Dynamical aspects of cellular automata

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
Average
Average
Average
gold