Functional Product of Graphs and Multiagent Systems

Sergio Ricardo P. de Mattos; Abel Rodolfo Garcia Lozano; Angelo Santos Siqueira

Functional Product of Graphs and Multiagent Systems

Sergio Ricardo P. de Mattos * §

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Abel Rodolfo Garcia Lozano §

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Angelo Santos Siqueira §

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§ Department of Mathematics of ECELAH / UNIGRANRIO.

Functional Product of Graphs and Multiagent Systems

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Abstract

In this work, the concepts of functional product of graphs and equitable total coloring were used to propose a model of connection among the multiagent systems. We show how to generate a family of regular graphs that admits a range vertex coloringof order ∆ with ∆ + 1 colors, denominated harmonic graphs. We prove that the harmonic graphs do not have cut vertices. We also show that the concept of equitable total coloring can be used to elaborate parallel algorithms that are independent of the network topology. Finally, we show a model of connection among multiagent systems (MAS) based on the use of harmonic graphs as a support for the construction of P2P overlay network topologies used for the communication among these systems.

References

14 Cites in Article

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Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

Sergio Ricardo P. de Mattos, Abel Rodolfo Garcia Lozano, Angelo Santos Siqueira. 2017. "Functional Product of Graphs and Multiagent Systems". Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 17 (GJSFR Volume 17 Issue F8).

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GJSFR Volume 17 Issue F8

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords

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Classification

GJSFR-F Classification MSC 2010: 05C50

Submission ReceivedOctober 29, 2017
Peer Review Double Blind
Handling Editor
Accepted November 28, 2017
Published December 19, 2017

Version of record

v1.2

Issue date

December 19, 2017

Language

English

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Article Matrices

Total Score: 103

Country: Brazil

Subject: Global Journal of Science Frontier Research - F: Mathematics & Decision

Authors: Sergio Ricardo P. De Mattos, Abel Rodolfo Garcia Lozano, Angelo Santos Siqueira (PhD/Dr. count: 0)

View Count (all-time): 381

Total Views (Real + Logic): 910

Total Downloads (simulated): 48

Publish Date: 2017 12, Tue

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Total Views: 910

Total Downloads: 48

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