Title of paper:
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Constant intuitionistic fuzzy graphs
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Author(s):
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M. G. Karunambigai
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Department of Mathematics, Sri Vasavi College, Erode - 638 316, Tamilnadu, India
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gkaruns@yahoo.com
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Parvathi Rangasamy
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Department of Mathematics, Vellalar College for Women, Erode - 638 012, Tamilnadu, India
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paarvathis@rediffmail.com
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R. Buvaneswari
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Department of Mathematics, Sankara College of Science and Commerce, Coimbatore - 641 035, Tamilnadu, India
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rbmksr@gmail.com
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Published in:
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"Notes on IFS", Volume 17 (2010) Number 1, pages 37—47
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Download:
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PDF (111 Kb, File info)
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Abstract:
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In this paper, Constant Intuitionistic Fuzzy Graphs (IFGs), and totally constant IFGs are introduced. Necessary and sufficient conditions under which they are equivalent is studied here. A characterization of constant IFGs on a cycle is given. Some properties of constant IFGs with suitable illustrations are also discussed.
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Keywords:
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µ-degree of a vertex, γ-degree of a vertex, degree of a vertex, constant IFG, totally constant IFG
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References:
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- K. Atanassov, Intuitionistic Fuzzy Sets: Theory and Applications, Physica-Verlag, New York (1999).
- J. A. Bondy and U. S. R. Murthy, Graph Theory with Applications, American Elesevier Publishing Co., New York (1976).
- E. J. Cockayne and S. T. Hedetnieme,Towards a Theory of Domination in Graphs, Networks 7 (1977), 247-261.
- M. G. Karunambigai and R. Parvathi, Intuitionistic Fuzzy Graphs, Proceedings of 9th Fuzzy Days International Conference on Computational Intelligence, Advances in soft computing: Computational Intelligence,Theory and Applications, Springer-Verlag, 20 (2006), 139-150.
- Mordeson N. John and Nair S. Premchand, Fuzzy Graphs and Fuzzy Hypergraphs, Physica-Verlag, New York (2000).
- R. Parvathi, M. G. Karunambigai and K. Atanassov, Operations on Intuitionistic Fuzzy Graphs, Proceedings of IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), August 2009, 1396-1401.
- A. Somasundram and S. Somasundaram, Domination in Fuzzy Graphs-I, Pattern Recognition Letters, 19 (1998), 787-791.
- Yan Luo and Changrui Yu, A Fuzzy Optimization Method for Multi-Criteria Decision Making Problem Based on the Inclusion Degrees of Intuitionistic Fuzzy Sets, Journal of Information and Computing Science, 3(2) (2008), 146-152.
- L. A. Zadeh, Fuzzy Sets, Information Sciences, 8 (1965), 338-353.
- A.Nagoor Gani and K.Radha, On Regular Fuzzy Graphs, Journal of Physical Sciences, (12) (2008), 33-140.
- A.Nagoor Gani and S.Shajitha Begum, Degree,Order and Size in Intuitionistic Fuzzy Graphs, International Journal of Algorithms, Computing and Mathematics, (3)3 (2010).
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