Skip to main content
SpringerLink
Log in

Hesitancy fuzzy magic labeling graph

  • Original Research Paper
  • Published:
The Journal of Analysis Aims and scope Submit manuscript

Abstract

The objective of this paper is to introduce the concept of magic labeling in hesitancy fuzzy graph and finding results in hesitancy fuzzy graphs like path, cycle and star graphs by applying the concept of hesitancy fuzzy magic labeling along with some properties of hesitancy fuzzy magic labeling graph are discussed.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Akram, M. 2011. Bipolar fuzzy graphs. Information Sciences 181: 5548–5564.

    Article  MathSciNet  MATH  Google Scholar 

  2. Akram, M., and W.A. Dudek. 2011. Interval-valued fuzzy graphs. Computers and Mathematics with Applications 61: 289–299.

    Article  MathSciNet  MATH  Google Scholar 

  3. Akram, M., and W.A. Dudek. 2013. Intuitionistic fuzzy hyper graphs with applications. Information Sciences 218: 182–193.

    Article  MathSciNet  MATH  Google Scholar 

  4. Akram, M., and Arooj Adeel. 2016. m-Polar fuzzy labeling graphs with application. Mathematics in Computer Science 10: 387–402.

    Article  MathSciNet  MATH  Google Scholar 

  5. Akram, M., and Arooj Adeel. 2017. m-Polar fuzzy graphs and m-polar fuzzy line graphs. Journal of Discrete Mathematical Sciences and Cryptography 20: 1597–1617.

    Article  MathSciNet  MATH  Google Scholar 

  6. Atanassov, Krassimir T. 1986. Intuitionistic fuzzy sets. Fuzzy Sets and Systems 20: 87–96.

    Article  MathSciNet  MATH  Google Scholar 

  7. Atanassov, Krassimir T. 1999. Intuitionistic Fuzzy Sets: Theory and Applications. New York: Physica.

    Book  MATH  Google Scholar 

  8. Euler, L. 1736. Solutio problematis and geometriam situs pertinentis. Commentarii Academiae Scientarum Imperialis Petropolitanae 8: 128–140.

    Google Scholar 

  9. Gallian, J.A. 2014. A dynamic survey of graph labeling. The Electronic Journal of Combinatorics 7: 1–384 (7th edition).

    MathSciNet  Google Scholar 

  10. Kishore Kumar, P.K., S. Lavanya, Hossein Rashmanlou, and Mostafa Nouri Jouybari. 2017. Magic labeling on interval-valued intuitionistic fuzzy graphs. Journal of Intelligent & Fuzzy Systems 33: 3999–4006.

    Article  Google Scholar 

  11. Kotzig, A., and A. Rosa. 1970. Magic valuation of finite graph. Canadian Mathematical Bulletin 13: 451–461.

    Article  MathSciNet  MATH  Google Scholar 

  12. Mishra, S.N., and Anita Pal. 2016. Magic labeling of interval-valued fuzzy graph. Annals of Fuzzy Mathematics and Informatics 11: 273–282.

    MathSciNet  MATH  Google Scholar 

  13. Nagoor Gani, A., and D. Rajalaxmi. 2012. Properties of fuzzy labeling graph. Applied Mathematical Sciences 6: 3461–3466.

    MathSciNet  MATH  Google Scholar 

  14. Nagoor Gani, A., and D. Rajalaxmi. 2014. Fuzzy labeling tree. International Journal of Pure and Applied Mathematics 90: 131–141.

    Google Scholar 

  15. Nagoor Gani, A., M. Akram, and D. Rajalaxmi. 2014. Novel properties of fuzzy labelling graphs. Journal of Mathematics 2014: 1–6.

    Article  Google Scholar 

  16. Parvathi, R., and M.G. Karunambigai. 2006. Intuitionistic fuzzy graphs. Computational Intelligence - Theory and Applications 6: 139–150.

    Article  Google Scholar 

  17. Parvathi, R., M.G. Karunambigai, and K.T. Atanassov. 2009. Operations on intuitionistic fuzzy graphs. In Proceedings of the FUZZ-IEEE 2009, International Conference on fuzzy systems, Jeju Island, Korea, 20–24.

  18. Pathinathan, T., J. Jon Arockiaraj, and J. Jesintha Rosline. 2015. Hesitancy fuzzy graphs. Indian Journal of Science and Technology 8: 1–5.

    Article  Google Scholar 

  19. Pathinathan, T., and J. Jon Arockiaraj. 2016. Various Cartesian products of vertex degree and edge degree in hesitancy fuzzy graphs. International Journal of Multidisciplinary Research and Modern Education 2: 2454–6119.

    Google Scholar 

  20. Pathinathan, T., J. Jon Arockiaraj, and E. Mike Dison. 2016. Constant hesitancy fuzzy graphs. Global Journal of Pure and Applied Mathematics 12: 287–292.

    Google Scholar 

  21. Pathinathan, T., and J. Jon Arockiaraj. 2016. On regular hesitancy fuzzy graphs. Global Journal of Pure and Applied Mathematics 12: 512–518.

    Google Scholar 

  22. Rosenfeld, A. 1975. Fuzzy Graphs—In Fuzzy Sets and Their Applications to Cognitive and Decision Processes, 77–95. New York: Academic Press.

    Book  Google Scholar 

  23. Sedlacek, J. 1963. Problem 27. Theory of graphs and its applications. In Proceedings of the Symposium held in Smolenice, Prague, June 1963, 163–167.

  24. Mehra, Seema, and Manjeet Singh. 2017. Some results on intuitionistic fuzzy magic labeling graphs. Aryabhatta Journal of Mathematics and Informatics 09: 931–938.

    Google Scholar 

  25. Torra, V. 2010. Hesitant fuzzy sets. International Journal of Intelligent Systems 25: 529–539.

    MATH  Google Scholar 

  26. Zadeh, L.A. 1965. Fuzzy sets. Information and Computation 8: 338–353.

    MathSciNet  MATH  Google Scholar 

Download references

Acknowledgements

The authors are highly grateful to the anonymous referee for the valuable suggestions regarding the paper.

Author information

Authors and Affiliations

  1. PG and Research Department of Mathematics, Jamal Mohamed College (Autonomous), Tiruchirappalli, Tamilnadu, 620020, India

    M. A. Rifayathali, A. Prasanna & S. Ismail Mohideen

Authors
  1. M. A. Rifayathali
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. Prasanna
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. S. Ismail Mohideen
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to M. A. Rifayathali.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Rifayathali, M.A., Prasanna, A. & Mohideen, S.I. Hesitancy fuzzy magic labeling graph. J Anal 27, 39–53 (2019). https://doi.org/10.1007/s41478-018-0102-9

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s41478-018-0102-9

Keywords

Mathematics Subject Classification

Search

Navigation