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Laplacian Energy of Operations on Intuitionistic Fuzzy Graphs

  • E. Kartheek
  • S. Sharief Basha
Conference paper
Part of the Trends in Mathematics book series (TM)

Abstract

The concept of Laplacian energy of an intuitionistic fuzzy graph is extended to Laplacian energy in operations on intuitionistic fuzzy graph. In this paper, we have obtained the value of Laplacian energy in different operations such as union and join between two intuitionistic fuzzy graphs. Also we study the relation between the Laplacian energy in the operations on two intuitionistic fuzzy graphs.

References

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    Rosenfeld.A, Fuzzy Graphs, in Zadeh.L.A, Fu. K.cS, Tanaka.K and Shimura.M (eds.), Fuzzy Sets and their Applications to Cognitive and Decision Process, Academic Press, New York, 75–95, (1975).Google Scholar
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    Sharief Basha.S and E. Kartheek, Laplacian Energy of an Intuitionistic Fuzzy Graph, Indian Journal of Science and Technology, 8(33) 1–7, (2015).Google Scholar
  3. 3.
    Zadeh.L.A., Fuzzy sets , Information and Control,, (8)338–353, (1965).MathSciNetCrossRefGoogle Scholar

Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • E. Kartheek
    • 1
  • S. Sharief Basha
    • 1
  1. 1.Applied Algebra Division, School of Advanced SciencesVIT UniversityVelloreIndia

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