Simulations between Network Topologies in Networks of Evolutionary Processors

In this paper, we propose direct simulations between a given network of evolutionary processors with an arbitrary topology of the underlying graph and a network of evolutionary processors with underlying graphs—that is, a complete graph, a star graph and a grid graph, respectively. All of these simu...

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Bibliographic Details
Main Authors: José Ángel Sánchez Martín, Victor Mitrana
Format: Article
Language:English
Published: MDPI AG 2021-08-01
Series:Axioms
Subjects:
Online Access:https://www.mdpi.com/2075-1680/10/3/183
Description
Summary:In this paper, we propose direct simulations between a given network of evolutionary processors with an arbitrary topology of the underlying graph and a network of evolutionary processors with underlying graphs—that is, a complete graph, a star graph and a grid graph, respectively. All of these simulations are time complexity preserving—namely, each computational step in the given network is simulated by a constant number of computational steps in the constructed network. These results might be used to efficiently convert a solution of a problem based on networks of evolutionary processors provided that the underlying graph of the solution is not desired.
ISSN:2075-1680