Vol. 4 (07) pp. 825-832 DOI: 10.21474/IJAR01/1168

ON SPECTRA AND BOUNDS OF FUZZY GRAPH.

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  • Assistant Professor, Department of Mathematics, Mother Teresa Women’s University, Kodaikanal.
  • Research Scholar in Mathematics, Mother Teresa Women’s University, Kodaikanal.
  • Assistant Professor in Mathematics, Sri G.V.G Visalakshi College For Women (Autonomous), Udumalpet.
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Abstract

Energy of graph / fuzzy graph is the sum of absolute values of eigen values for adjacent/Fuzzy adjacent matrix [1,3]. In this paper, upper bound and lower bound in terms of its degree and membership values of fuzzy graph is calculated. The number of closed walks of a given length is spectrum of fuzzy graph. The k^th spectral moment of the fuzzy graph M_(k ) (FG) is defined, where M_(k ) is the number of closed walks of length k in FG. The relation between the energy and spectral moments of fuzzy graph eigen values are derived.

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How to Cite This Article

S. Vimala and P. Jayalakshmi (2016); ON SPECTRA AND BOUNDS OF FUZZY GRAPH., Int. J. of Adv. Res., 4 (07), 825-832, ISSN 2320-5407. DOI: https://doi.org/10.21474/IJAR01/1168

Corresponding Author

S.Vimala, & P.Jayalakshmi

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