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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 60 | Number 4 | Year 2018 | Article Id. IJMTT-V60P531 | DOI : https://doi.org/10.14445/22315373/IJMTT-V60P531

Properties of Perfect Fuzzy Graphs


R. Seethalakshmi
Abstract

In our paper [6], we discussed strong regular fuzzy graphs. In this paper, some properties of perfect fuzzy graphs are studied. The effect of complement and complete regular fuzzy graphs on perfect fuzzy graphs is discussed.

Keywords
Perfect fuzzy graphs, Strong fuzzy graph, Regular fuzzy graph, Complete regular fuzzy graph
References

[1] Baseer Ahmed M and Nagoorgani A, Perfect Fuzzy Graphs, Bulletin of Pure and Applied Sciences – Mathematics, Jan 1,2009.
[2] Morderson, J.N, Nair, P.S, Fuzzy Graphs and Fuzzy Hyper Graphs, Physics - verlag, Heidelberg (2000)
[3] Nagoorgani, A and Chandrasekaran V.T, A First Look at Fuzzy Graph Theory(2010)
[4] Nagoorgani A and Radha K, on Regular Fuzzy Graphs, Journal of Physical Sciences, Vol.12, 33-40(2000).
[5] Rosenfeld A, Fuzzygraphs In : Zadeh, L.A. Fu, K.S.Shimura, M (Eds), Fuzzy sets and their Applications (Academic Press, Newyark).
[6] Seethalakshmi R, Gnanajothi R.B, On Strong Regular Fuzzy Graph, International Journal of Math. Science and Engineering Applications, Vol. 6, No.1(Jan 2012, pp.161-173.
[7] Sunitha M.S and Vijayakumar A, Complement of a Fuzzy Graph, Indian Journal of Pure and Applied Mathematics, Vol.9(33),2002, 1451-1464.
[8] Zadeh L.A. Similarity relations and fuzzy ordering Information sciences 971; 3(2): 177-200.

Citation :

R. Seethalakshmi, "Properties of Perfect Fuzzy Graphs," International Journal of Mathematics Trends and Technology (IJMTT), vol. 60, no. 4, pp. 195-197, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V60P531

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