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International Journal of Neutrosophic Science

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International Journal of Neutrosophic Science

Volume 18 , Issue 3 , PP: 84-92, 2022 | Cite this article as | XML | Html | PDF | Full Length Article

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

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