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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: 104-110 • 2022

Inverse Dominating Set in Neutrosophic Graphs

M. Mullai 1*
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,
S. Broumi 2
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,
P.K.Santhi 3
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1Department of Mathematics, Alagappa University, Karaikudi, Tamilnadu, India.
2Laboratory of Information processing, University Hassan II, B.P 7955, Sidi Othman, Casablanca, Morocco.
3Department of Mathematics, Jayaraj Annapackiam College for Women (Autonomous),Periyakulam, Theni(Dist)Tamilnadu, India
* Corresponding Author.
DOI https://doi.org/10.54216/IJNS.180309
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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 28, 2022 Accepted: April 20, 2022
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Abstract

In this paper, the concept of inverse domination in neutrosophic graph is established. The definition of inverse domination number, inverse dominating set, inverse split and non split dominating sets in neutrosophic graph are developed with suitable examples here. Also, the theorems in inverse domination in neutrosophic graph and the bound on inverse domination number in neutrosophic graph are derived.

 

Keywords

Neutrosophic Graph Inverse Dominating Set Inverse Dominating Number Neutrosophic Path Minimum Dominating Set

References

[1] Ameenal Bibi, K.; Selvakumar, R. The inverse split and non-split domination in graphs.

[2] Atanassov, K. Intuitionistic fuzzy sets: Theory and applications. Physica, New York, 1999; Volume 3, pp. 154-196.

[3] Atanassov, K. Intuitionistic fuzzy sets Fuzzy sets and Systems, 1986; Volume 20, pp. 87-96.

[4] Bhutani, K.R. on automorphism of fuzzy graphs.Pattern Recognition Letters, 1989; Volume 9, pp. 159-162.

[5] Chang, G.J. Algorithmic aspects of domination in graphs,in D.Z. Du, P.M. Paradalos(Eds.),Handbook of combinatorial Optimization, 1998; Volume 3,,Kluwer,Boston, MA, pp. 339-405.

[6] Domke, G.S.; Donbar; Markus, L.R. The inverse domination number of a graph. ARS combinatoria, 2004; Volume 72, pp. 149-160.

[7] Geetha, S.; Harinarayanan, C.V.R. Inverse split domination in fuzzy graphs. International Journal of Engineering Research and Applications, 2014; Volume 4, pp. 118-121.

[8] Ghobadi, S.; Soner; Mahyoub, Q.M. Mahyoub Inverse dominating set in fuzzy graphs.

[9] Jayalakshmi, P.J.; Harinarayanan, C.V.R. , 1986; Volume , pp. .

[10] Atanassov, K. Harinarayanan.Independent and Total strong (weak) domination in fuzzy graph. Interna-tional journal of computational Engineering Research, 1986; Volume 04, pp. 71-74.

[11] Karunambigai, M.G.; Sivasankar, S.; Palanivel, K. Edge regular intuitionistic fuzzy graph. Advances in Fuzzy sets and systems, 2015; Volume 20(1), pp. 25-46.

[12] Kaufmann, A. Introduction a` la the´orie des sous-ensembles flous,loEle´ments the´oriques de base.paris: Masson et Cie;(1976).

[13] Kulli, V.R.; Sigarkanti, L.S.C. Inverse domination in graphs. Nat.Acad.Sci.Ltt., 1991; Volume 14, pp. 473-475.

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Mullai, M., Broumi, S., , P.K.Santhi. "Inverse Dominating Set in Neutrosophic Graphs." International Journal of Neutrosophic Science, vol. Volume 18, no. Issue 3, 2022, pp. 104-110. DOI: https://doi.org/10.54216/IJNS.180309
Mullai, M., Broumi, S., , P. (2022). Inverse Dominating Set in Neutrosophic Graphs. International Journal of Neutrosophic Science, Volume 18(Issue 3), 104-110. DOI: https://doi.org/10.54216/IJNS.180309
Mullai, M., Broumi, S., , P.K.Santhi. "Inverse Dominating Set in Neutrosophic Graphs." International Journal of Neutrosophic Science Volume 18, no. Issue 3 (2022): 104-110. DOI: https://doi.org/10.54216/IJNS.180309
Mullai, M., Broumi, S., , P. (2022) 'Inverse Dominating Set in Neutrosophic Graphs', International Journal of Neutrosophic Science, Volume 18(Issue 3), pp. 104-110. DOI: https://doi.org/10.54216/IJNS.180309
Mullai M, Broumi S, P. Inverse Dominating Set in Neutrosophic Graphs. International Journal of Neutrosophic Science. 2022;Volume 18(Issue 3):104-110. DOI: https://doi.org/10.54216/IJNS.180309
M. Mullai, S. Broumi, P. , "Inverse Dominating Set in Neutrosophic Graphs," International Journal of Neutrosophic Science, vol. Volume 18, no. Issue 3, pp. 104-110, 2022. DOI: https://doi.org/10.54216/IJNS.180309
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