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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 65 | Issue 3 | Year 2019 | Article Id. IJMTT-V65I3P516 | DOI : https://doi.org/10.14445/22315373/IJMTT-V65I3P516

On (4, k) - Regular Fuzzy Graphs


B.Shanmugaraj, G.chandrasekar, S.Meena Devi
Abstract

In this paper, we define d4-degree and total d4- degree of vertex in fuzzy graphs. Further we study (4, k)- regularity and totally (4, k)- regularity of fuzzy graphs and the relation between (4,K)- regularity and totally (4, k)-regularity.

Keywords
Regular fuzzy graphs, total degree, totally regular fuzzy graph, d4 degree of a vertex in graphs.
References

[1] Alison Northup, A study of semi-regular graphs, Bachelor thesis, Stetson University (2002).
[2] A.Nagoor Gani and K. Radha, On Regular Fuzzy Graphs, Journal of physical sciences, 12(2008), 33-40.
[3] A.Rosenfelt, Fuzzy Graphs, In: L.A.Zadeh, K.S.Fu, M.Shimura, Eds, Fuzzy sets and their applications, Academic press(1975),77-95.
[4] N.R.Santhi Maheswari and C.Sekar, On (r,2,r(r-1))-regular fuzzy graphs International Journal of Mathematics and Soft Computing, 2(2)(2012), 25-33.
[5] S.Meena Devi and M.Andal, On (3,k)-Regular Fuzzy Graphs, International Journal of Science and Research,ISSN:2319-7064.

Citation :

B.Shanmugaraj, G.chandrasekar, S.Meena Devi, "On (4, k) - Regular Fuzzy Graphs," International Journal of Mathematics Trends and Technology (IJMTT), vol. 65, no. 3, pp. 107-114, 2019. Crossref, https://doi.org/10.14445/22315373/IJMTT-V65I3P516

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