IJPAM: Volume 117, No. 1 (2017)

Title

ISOMORPHISM ON ANTIFUZZY GRAPHS

Authors

R. Seethalakshmi$^1$, R.B. Gnanajothi$^2$
$^1$Saiva Bhanu Kshatriya College
Aruppukottai, 626 101, Tamilnadu, INDIA
$^2$V.V. Vanniaperumal College
Virudhunagar, 626 001, Tamilnadu, INDIA

Abstract

The definition of complement of antifuzzy graphs is modified. The notion of isomorphism of antifuzzy graphs is introduced. Isomorphism between complement of join and union of two distinct antifuzzy graphs is discussed.

History

Received: 2017-06-06
Revised: 2017-07-21
Published: November 29, 2017

AMS Classification, Key Words

AMS Subject Classification: 05C72, 03E72
Key Words and Phrases: antfuzzy graphs, complement of antifuzzy graphs, isomorphism on antifuzzy graphs

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Bibliography

1
J.N. Morderson, P.S. Nair, Fuzzy Graphs and Fuzzy Hyper Graphs, Physics-Verlag, Heidelberg 2001.

2
A. Nagoorgani, V.T. Chandrasekaran, A First Look at Fuzzy Graph Theory, Allied Pubications, India, 2010.

3
A. Nagoorgani, J. Malarvizhi, On antipodal fuzzygraph, Applied Mathematical Sciences, 4, No. 43 (2010), 2145-2155.

4
A. Rosenfeld, Fuzzygraphs, In: Zadeh, L.A. Fu, K.S.Shimura, M (Eds), Fuzzy sets and their Applications, Academic Press, Newyark (1975), 75-95.

5
R. Seethalakshmi, R.B. Gnanajothi, Operations on antifuzzy graphs, Mathematical Sciences International Research Joournal, 5, No. 2 (2016), 210-214.

6
R. Seethalakshmi, R.B. Gnanajothi, On antipodal antifuzzy graphs, International J. of Pure and Applied Mathematics, 112, No. 5 (2017), 47-55, doi: https://doi.org/10.12732/ijpam.v112i5.6.

7
M.S. Sunithat, Sunil Mathew, Fuzzy graph theory: A survey, Annals of Pure and Applied Mathematics, 4, No. 1 (2013), 92-110.

8
M.S. Sunitha, A. Vijayakumar, Complement of a fuzzy graph, Indian Journal of Pure and Applied Mathematics, 9, No. 33 (2002), 1451-1464.

9
M.S. Sunitha, A. Vijayakumar, Some metric aspects of fuzzy graphs, In: Proceedings of the Conference on Graph Connections, Cochin University of Science and Technology, Cochin, India, January 28-31, 1998, 111-114.

How to Cite?

DOI: 10.12732/ijpam.v117i1.7 How to cite this paper?

Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2017
Volume: 117
Issue: 1
Pages: 69 - 80


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