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Laplacian Energy of Operations on Intuitionistic Fuzzy Graphs

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Applied Mathematics and Scientific Computing

Part of the book series: Trends in Mathematics ((TM))

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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.

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References

  1. 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).

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  2. Sharief Basha.S and E. Kartheek, Laplacian Energy of an Intuitionistic Fuzzy Graph, Indian Journal of Science and Technology, 8(33) 1–7, (2015).

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  3. Zadeh.L.A., Fuzzy sets , Information and Control,, (8)338–353, (1965).

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Author information

Authors and Affiliations

  1. Applied Algebra Division, School of Advanced Sciences, VIT University, Vellore, Tamilnadu, India

    E. Kartheek & S. Sharief Basha

Authors
  1. E. Kartheek
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  2. S. Sharief Basha
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Editor information

Editors and Affiliations

  1. Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, Tamil Nadu, India

    B. Rushi Kumar

  2. Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, Tamil Nadu, India

    R. Sivaraj

  3. Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, Tamil Nadu, India

    B. S. R. V. Prasad

  4. Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, Tamil Nadu, India

    M. Nalliah

  5. Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, Tamil Nadu, India

    A. Subramanyam Reddy

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Kartheek, E., Sharief Basha, S. (2019). Laplacian Energy of Operations on Intuitionistic Fuzzy Graphs. In: Rushi Kumar, B., Sivaraj, R., Prasad, B., Nalliah, M., Reddy, A. (eds) Applied Mathematics and Scientific Computing. Trends in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-01123-9_48

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