Volume 66 | Issue 3 | Year 2020 | Article Id. IJMTT-V66I3P519 | DOI : https://doi.org/10.14445/22315373/IJMTT-V66I3P519
Graphs are simple model of relation. It is a convenient way of representing information involving relationship between objects. In this chapter, we discussed the concept some operations such as null anti-fuzzy graph and the relationship between complete anti fuzzy graph and strong anti-fuzzy graphs are discussed. Suitable example is illustrated to demonstrate the null identity fuzzy graph.
[1] K. R. Bhutani, On automorphism of fuzzy graphs, Pattern Recognition Letter 9 (1989), 159-162.
[2] Frank Harary, Graph Theory, Indian Student Edition, Narosa/Addison Wesley, 1988.
[3] Frank Harary and Gordon W. Wilcox, Boolean operations on graphs, Scand. 20 (1967), 41-51.
[4] A. Nagoorgani and V. T. Chandrasekaran, A First Look at Fuzzy Graph Theory, Allied Publishers, 2010.
[5] A. Nagoorgani and S. R. Latha, On irregular fuzzy graphs, Appl. J.Math. Sci. 6(11) (2012), 517-523.
[6] A. Nagoorgani and S. R. Latha, Isomorphism on irregular fuzzy graphs, Inter. J.Math. Sci. Engg. Appls. (IJMSEA) 6(III) (2012), 193-208.
[7] A. Nagoorgani and S. R. Latha, Some operations on fuzzy graph, Proceedings of the International Conference on Mathematical Methods and Computation, Feb. 2014.
[8] A. Nagoorgani and J. Malarvizhi, Isomorphism on fuzzy graphs, Inter. J. Comput. Math. Sci. 2 (2008), 200-206.
[9] A. Nagoorgani and K. Radha, On regular fuzzy graphs, J. Phys. Sci. 12 (2010), 33-40.
[10] A. Rosenfeld, Fuzzy graphs, Fuzzy Sets and their Applications to Cognitive and Decision Process, L. A. Zadeh, K. S. Fu, K.Tanaka and M. Shimura, eds., Academic Press, New York, 1975, pp. 75-95.
[11] M. S. Sunitha and A. Vijayakumar, Complement of fuzzy graph, Indian J. Pure Appl. Math. 33(9) (2002), 1451-1464.
[12] L.A. Zadeh, Fuzzy sets, Information and Control 8 (1965) 338-353.
Dr.M. Prabhavathi, R. Uma Maheswari,K. Vinodhini, "Some Operations On Anti Fuzzy Graph," International Journal of Mathematics Trends and Technology (IJMTT), vol. 66, no. 3, pp. 119-123, 2020. Crossref, https://doi.org/10.14445/22315373/IJMTT-V66I3P519