Journal of applied mathematics & informatics

  • 제42권4호
  • /
  • Pages.739-748
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  • 2024
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  • 2734-1194(pISSN)
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  • 2234-8417(eISSN)
한국전산응용수학회 (The Korean Society for Computational and Applied Mathematics)
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DOMINATION IN BIPOLAR INTUITIONISTIC FUZZY GRAPHS

  • S. SIVAMANI (Department of Mathematics, Saranathan College of Engineering) ;
  • V. KARTHIKEYAN (Department of Mathematics, Government College of Engineering) ;
  • G.E. CHATZARAKIS (Department of Electrical and Electronic Engineering Educators, School of Pedagogical and Technological Education) ;
  • S. DINESH (Department of Mathematics, Saranathan College of Engineering) ;
  • R. MANIKANDAN (Department of Mathematics, M.I.E.T. Engineering College)
  • 투고 : 2023.01.22
  • 심사 : 2024.04.06
  • 발행 : 2024.07.30
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초록

The intention of this paper is to acquaint domination, total domination on bipolar intuitionistic fuzzy graphs. Subsequently for bipolar intuitionistic fuzzy graphs the domination number and the total domination number are defined. Consequently we proved necessary and sufficient condition for a d-set to be minimal d-set, bounds for domination number and equality conditions for domination number and order.

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과제정보

Profoundly authors thank all the referees for their valuable comments and suggestions. The third author was supported by the special Account for Research of ASPETE through the funding program "Strengthening research of ASPETE faculty members".

참고문헌

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  3. R. Parvathi and M.G. Karunambigai, Intuitionistic Fuzzy Graphs, In: Reusch, B. (eds) Computational Intelligence, Theory and Applications., vol 38. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-34783-6-15 
  4. R. Parvathi and G. Tamizhendhi, Domination in Intuitionistic Fuzzy Graphs, Fourteenth Int. Conf. on IFSs, Sofia, NIFS, 16 (2010), 39-49. 
  5. V. Mohanaselvi and S. Sivamani, Twain Positive and Negative Domination in Bipolar Fuzzy Graphs, The Asian International Journal of Life Sciences 14 (2017), 43-50. 
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  7. Sonia Mandal and Madhumagal Pal, Product of Bipolar Intuitionistic Fuzzy Graphs and Their Degree, TWMS J. App. Eng. Math. 9 (2019), 327-338.