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Journal of Neutrosophic and Fuzzy Systems

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Journal of Neutrosophic and Fuzzy Systems

Volume 2 , Issue 2 , PP: 57-61, 2022 | Cite this article as | XML | Html | PDF

Equitable Domination in Neutrosophic Graphs

M.M ullai 1 * , S. Broumi 2 , Florentin Smarandache 3 , P.K.Santhi 4

  • 1 Department of Mathematics(DDE), Alagappa University, Karaikudi-630003. - (mullaim@alagappauniversity.ac.in)
  • 2 Laboratory of Information processing, University Hassan II, B.P 7955, Sidi Othman, Casablanca, Morocco. - (broumisaid78@gmail.com)
  • 3 Department of Mathematics, University of New Mexico, 705 Gurley Avenue, Gallup, NM 87301, USA. - (smarand@unm.edu)
  • 4 Department of Mathematics, Jayaraj Annapackiam College for Women (Autonomous), Periyakulam, Theni(Dist)Tamilnadu, India - (pksanthimat@annejac.ac.in)

    • Doi: https://doi.org/10.54216/JNFS.020205

    Received: January 20, 2022 Accepted: April 02, 2022
    Abstract

    This paper shows the equitable domination in neutrosophic graphs. In this proposed work, equitable neigh-bourhood of a vertex and equitabe degree are defined. Minimal neutrosophic dominating sets, minimal and maximal equitable independent sets,strong and weak equitable dominating sets in neutrosophic graphs are likewise settled. A few hypotheses on equitable domination in neutrosophic graphs are inferred with numeri-cal examples.

    Keywords :

    Neutrosophic set, neutrosophic graph, neutrosophic equitable dominating set, neutrosophic equi-table degree, neutrosophic equitable independent set.

    References

    [1] Arumugam.S and S.Velammal, (1998). Edge domination in graphs, Taiwanese Journal of Mathematics , 2(2) , 173 - 179.

    [2] Atanassov.K, (1965) . Intuitionistic fuzzy sets: theory and applications. Physica, New York, 1999.

    [3] Ayyasamy.S and C.Natarajan, (2010). Strong (weak)domination in Fuzzy graphs. International Journal of computational and Mathematical secince.

    [4] Chang.G.J, (1998) .Algorithmic aspects of domination in graphs, in:D.Z.Du, P.M. Pardalos (Eds.), Hand-book of Combinatorial Optimization, Vol. 3, Kluwer, Boston, MA, 339-405.

    [5] Dharmalingam K.M, M.Rani (2014) Equitable domination in fuzzy graphs Volume 94 No. 5 2014, 661-667

    [6] Haynes T.W et. al Fundamentals of Domination in Graphs, Marcel Dekker, New York, 1998.

    [7] Jayalakshmi.P.J and C.V.R.Harinarayanan .Independent and Total strong (weak) domination in Fuzzy Graph. International Journal of computational Engineering Research / Vol.04/Issue, 1, (71 - 74).

    [8] John Stephan.J, A. Muthaiyan, N.Vinoth Kumar (2016). Equitable Dominating in an Intunionistic Fuzzy Graphs Volume 12, Number 3 (2016), pp. 2335-2341.

    [9] Karunambigai.M.G ,S.Sivasankar and K.Palanivel, (2015). Some properties of a regular intuitionistic fuzzy graph,International Journal of Mathematics and Computation,26(4), 53-61.

    [10] Karunambigai M.G, S.Sivasankar and K. Palanivel, (2010). Different types of domination in Intuitionistic Fuzzy Graph.. Annals of Pure and Applied Mathematics. 14.1, 87-101.

    [11] Mordeson.J. N.,Nair P.S., Fuzzy graphs and Fuzzy Hyper graphs, Physica-Verlag, Heidelberg,1998, sec-ond edition (2001).

    [12] Mullai.M., ” Dominations in Neutrosophic Graphs”, Neutrosophic Graph Theory and Algorithms, IGI Global Publications,USA, ISSN:2327-1981, pages 131-147(Nov 2019).

    [13] Smarandache.F, (2015).Symbolic Neutrosophic Theory , Europanovaasbl, Brussels, 195p,.

    [14] Smarandache.F, (2015). Refined Literal Indeterminacy and the multiplication Law of SubIndetermina-cies, Neutrosophic Sets and Systems, Vol. 9, 58.

    [15] Somasundaram.A and S.Somasundaram,(1998).Domination in fuzzy graphs-I, Pattern Recognition Let-ters, 19(9), 787-791.

    [16] Velammal.S and S.kathiresan(2012).Domination in Intuitionistic fuzzy graphs.2278-7844.

    [17] Vekatasubramanian Swaminathan and Kuppusamy Markandan Dharmalingam. Degree Equitable Dom-ination on Graphs, Kragujevac Journal of Mathematics, Volume 35,Number 1,PP 177-183, (2011).

    [18] Zadeh.L (1965),Fuzzy setzs, Inform and control,8,338-353.

    Cite This Article As :
    M.M ullai, S. Broumi, Florentin Smarandache, P.K.Santhi. "Equitable Domination in Neutrosophic Graphs." Full Length Article, Vol. 2, No. 2, 2022 ,PP. 57-61 (Doi   :  https://doi.org/10.54216/JNFS.020205)
    M.M ullai, S. Broumi, Florentin Smarandache, P.K.Santhi. (2022). Equitable Domination in Neutrosophic Graphs. Journal of , 2 ( 2 ), 57-61 (Doi   :  https://doi.org/10.54216/JNFS.020205)
    M.M ullai, S. Broumi, Florentin Smarandache, P.K.Santhi. "Equitable Domination in Neutrosophic Graphs." Journal of , 2 no. 2 (2022): 57-61 (Doi   :  https://doi.org/10.54216/JNFS.020205)
    M.M ullai, S. Broumi, Florentin Smarandache, P.K.Santhi. (2022). Equitable Domination in Neutrosophic Graphs. Journal of , 2 ( 2 ), 57-61 (Doi   :  https://doi.org/10.54216/JNFS.020205)
    M.M ullai, S. Broumi, Florentin Smarandache, P.K.Santhi. Equitable Domination in Neutrosophic Graphs. Journal of , (2022); 2 ( 2 ): 57-61 (Doi   :  https://doi.org/10.54216/JNFS.020205)
    M.M ullai, S. Broumi, Florentin Smarandache, P.K.Santhi, Equitable Domination in Neutrosophic Graphs, Journal of , Vol. 2 , No. 2 , (2022) : 57-61 (Doi   :  https://doi.org/10.54216/JNFS.020205)

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