In this paper, the order, size and degree of the nodes
of the isomorphic fuzzy graphs are discussed. Isomorphism between
fuzzy graphs is proved to be an equivalence relation. Some properties
of self complementary and self weak complementary fuzzy graphs
are discussed.
[1] Bhattacharya, P, Some Remarks on fuzzy graphs, Pattern Recognition
Letter 6: 297-302, 1987.
[2] Bhutani, K.R., On Automorphism of Fuzzy graphs, Pattern Recognition
Letter 9: 159-162,1989
[3] Mordeson, J.N. and P.S. Nair Fuzzy Graphs and Fuzzy Hypergraphs
Physica Verlag, Heidelberg 1998; Second Edition 2001.
[4] Nagoorgani, A., and Chandrasekaran, V.T., Domination in fuzzy graph,
Adv. in Fuzzy sets & Systems 1(1) (2006), 17-26.
[5] Nagoorgani. A., and Basheer Ahamed, M., Strong and Weak
Domination in Fuzzy Graphs, East Asian Mathematical Journal, Vol.23,
No.1, June 30, (2007) pp 1-8.
[6] Somasundaram. A., and Somasundaram, S., Domination in fuzzy
graphs, Pattern Recognition Letter 19: (1998) 787-791.
[7] Sunitha, M.S., and Vijayakumar,.A, Complement of fuzzy graph,
Indian J,.pure appl, Math.,33(9); 1451-1464 September 2002.
[1] Bhattacharya, P, Some Remarks on fuzzy graphs, Pattern Recognition
Letter 6: 297-302, 1987.
[2] Bhutani, K.R., On Automorphism of Fuzzy graphs, Pattern Recognition
Letter 9: 159-162,1989
[3] Mordeson, J.N. and P.S. Nair Fuzzy Graphs and Fuzzy Hypergraphs
Physica Verlag, Heidelberg 1998; Second Edition 2001.
[4] Nagoorgani, A., and Chandrasekaran, V.T., Domination in fuzzy graph,
Adv. in Fuzzy sets & Systems 1(1) (2006), 17-26.
[5] Nagoorgani. A., and Basheer Ahamed, M., Strong and Weak
Domination in Fuzzy Graphs, East Asian Mathematical Journal, Vol.23,
No.1, June 30, (2007) pp 1-8.
[6] Somasundaram. A., and Somasundaram, S., Domination in fuzzy
graphs, Pattern Recognition Letter 19: (1998) 787-791.
[7] Sunitha, M.S., and Vijayakumar,.A, Complement of fuzzy graph,
Indian J,.pure appl, Math.,33(9); 1451-1464 September 2002.
@article{"International Journal of Engineering, Mathematical and Physical Sciences:54716", author = "A.Nagoor Gani and J.Malarvizhi", title = "Isomorphism on Fuzzy Graphs", abstract = "In this paper, the order, size and degree of the nodes
of the isomorphic fuzzy graphs are discussed. Isomorphism between
fuzzy graphs is proved to be an equivalence relation. Some properties
of self complementary and self weak complementary fuzzy graphs
are discussed.", keywords = "complementary fuzzy graphs, co-weak isomorphism,
equivalence relation, fuzzy relation, weak isomorphism.", volume = "2", number = "11", pages = "824-7", }