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International Journal of Neutrosophic Science
Volume 18 , Issue 3, PP: 84-92 , 2022 | Cite this article as | XML | Html |PDF

Title

Properties of Detour Central and Detour Boundary Vertices in Neutrosophic Graphs

  R. Narmada Devi 1 * ,   G.Muthumari 2 ,   J. Bravelin Jersha 3

1  Vel Tech Rangarajan Dr. Sagunthala R&D Institute of Science and Technology, Chennai, Tamil Nadu, India.
    (narmadadevi23@gmail.com)

2  Vel Tech Rangarajan Dr. Sagunthala R&D Institute of Science and Technology, Chennai, Tamil Nadu, India
    (mathsgmm@gmail.com)

3  PG Department of mathematics, Women’s Christian College, University of Madras, Chennai, Tamil Nadu, India.
    (bravelinjersha125@gmail.com)


Doi   :   https://doi.org/10.54216/IJNS.180307

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

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 :

[1] E. EsaiArasi and S. Arulraj , “Fuzzy Detour ss-Center in Fuzzy Graph”, Int. J. Engineering Science and

Computing, Vol. 6, No. 7, pp. 1572-1576, 2016.

[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.


Cite this Article as :
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MLA R. Narmada Devi, G.Muthumari, J. Bravelin Jersha. "Properties of Detour Central and Detour Boundary Vertices in Neutrosophic Graphs." International Journal of Neutrosophic Science, Vol. 18, No. 3, 2022 ,PP. 84-92 (Doi   :  https://doi.org/10.54216/IJNS.180307)
APA R. Narmada Devi, G.Muthumari, J. Bravelin Jersha. (2022). Properties of Detour Central and Detour Boundary Vertices in Neutrosophic Graphs. Journal of International Journal of Neutrosophic Science, 18 ( 3 ), 84-92 (Doi   :  https://doi.org/10.54216/IJNS.180307)
Chicago R. Narmada Devi, G.Muthumari, J. Bravelin Jersha. "Properties of Detour Central and Detour Boundary Vertices in Neutrosophic Graphs." Journal of International Journal of Neutrosophic Science, 18 no. 3 (2022): 84-92 (Doi   :  https://doi.org/10.54216/IJNS.180307)
Harvard R. Narmada Devi, G.Muthumari, J. Bravelin Jersha. (2022). Properties of Detour Central and Detour Boundary Vertices in Neutrosophic Graphs. Journal of International Journal of Neutrosophic Science, 18 ( 3 ), 84-92 (Doi   :  https://doi.org/10.54216/IJNS.180307)
Vancouver R. Narmada Devi, G.Muthumari, J. Bravelin Jersha. Properties of Detour Central and Detour Boundary Vertices in Neutrosophic Graphs. Journal of International Journal of Neutrosophic Science, (2022); 18 ( 3 ): 84-92 (Doi   :  https://doi.org/10.54216/IJNS.180307)
IEEE R. Narmada Devi, G.Muthumari, J. Bravelin Jersha, Properties of Detour Central and Detour Boundary Vertices in Neutrosophic Graphs, Journal of International Journal of Neutrosophic Science, Vol. 18 , No. 3 , (2022) : 84-92 (Doi   :  https://doi.org/10.54216/IJNS.180307)