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International Journal of Neutrosophic Science

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International Journal of Neutrosophic Science
Full Length Article

Volume 18 • Issue 3 • PP: 84-92 • 2022

Properties of Detour Central and Detour Boundary Vertices in Neutrosophic Graphs

R. Narmada Devi 1*
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,
G.Muthumari 2
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,
J. Bravelin Jersha 3
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1Vel Tech Rangarajan Dr. Sagunthala R&D Institute of Science and Technology, Chennai, Tamil Nadu, India.
2Vel Tech Rangarajan Dr. Sagunthala R&D Institute of Science and Technology, Chennai, Tamil Nadu, India
3PG Department of mathematics, Women’s Christian College, University of Madras, Chennai, Tamil Nadu, India.
* Corresponding Author.
DOI https://doi.org/10.54216/IJNS.180307
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© 2022 The Author(s). Published by ASPG. This article is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).

Received: January 27, 2022 Accepted: April 16, 2022
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Abstract

In this paper, the idea of neutrosophic detour boundary vertices and neutrosophic detour center vertices in neutrosophic graph is introduced.  Here the concept of neutrosophic detour eccentricity, neutrosophic detour radius, neutrosophic detour diameter, neutrosophic detour neighbourhood vertex are studied.  Several interesting properties related to of eccentric nodes, peripheral nodes, and central nodes in neutrosophic graphs are established.

Keywords

Neutrosophic detour eccentricity Neutrosophic detour centre Neutrosophic detour self-centered graph Neutrosophic detour boundary vertex Neutrosophic detour boundary graph

References

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[2] A. NagoorGani and J. Umamaheswari , “Fuzzy Detour μ-Centre in Fuzzy Graphs”, International Journal

of Algorithms, Computing and Mathematics, Vol. 3, No. 2, pp. 57-63, 2010.

[3] A. NagoorGani and J.Umamaheswari, “Fuzzy Detour Boundary Vertices in Fuzzy

a. Graphs”, Int. J. Contemp. Sciences, Vol.6, No. 35,pp. 1725-1731, 2011.

[4] F. Smarandache, “NS – a generalization of the Intuitionistic Fuzzy set”, International journal of pure and

applied Mathematics, Vol. 24, No. 3, pp. 287-297, 2005.

[5] H. Wang, F. Smarandache, Y. Zang and R. Sunderraman, “Single-valued NSs”, Multi-space and

Multistructure, No. 4, pp. 410-413, 2010.

[6] Zadeh, L.A., “Fuzzy sets”, Inform and control, 8,pp. 338-353,1965.

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Devi, R. Narmada, , G.Muthumari, Jersha, J. Bravelin. "Properties of Detour Central and Detour Boundary Vertices in Neutrosophic Graphs." International Journal of Neutrosophic Science, vol. Volume 18, no. Issue 3, 2022, pp. 84-92. DOI: https://doi.org/10.54216/IJNS.180307
Devi, R., , G., Jersha, J. (2022). Properties of Detour Central and Detour Boundary Vertices in Neutrosophic Graphs. International Journal of Neutrosophic Science, Volume 18(Issue 3), 84-92. DOI: https://doi.org/10.54216/IJNS.180307
Devi, R. Narmada, , G.Muthumari, Jersha, J. Bravelin. "Properties of Detour Central and Detour Boundary Vertices in Neutrosophic Graphs." International Journal of Neutrosophic Science Volume 18, no. Issue 3 (2022): 84-92. DOI: https://doi.org/10.54216/IJNS.180307
Devi, R., , G., Jersha, J. (2022) 'Properties of Detour Central and Detour Boundary Vertices in Neutrosophic Graphs', International Journal of Neutrosophic Science, Volume 18(Issue 3), pp. 84-92. DOI: https://doi.org/10.54216/IJNS.180307
Devi R, G, Jersha J. Properties of Detour Central and Detour Boundary Vertices in Neutrosophic Graphs. International Journal of Neutrosophic Science. 2022;Volume 18(Issue 3):84-92. DOI: https://doi.org/10.54216/IJNS.180307
R. Devi, G. , J. Jersha, "Properties of Detour Central and Detour Boundary Vertices in Neutrosophic Graphs," International Journal of Neutrosophic Science, vol. Volume 18, no. Issue 3, pp. 84-92, 2022. DOI: https://doi.org/10.54216/IJNS.180307
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