Product fuzzy distance two labeling graph and its properties
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DOI:
https://doi.org/10.26637/MJM0604/0004Abstract
Graph theoretical concepts are hugely exploited by the applications of computer science. Mainly in the field of research in computer science like communication networking (wired or wireless), image capturing, data base management etc. Fuzzy labeling graphs provide more accuracy, flexibility, and affinity to the system in comparison of standard and fuzzy graphs. These graphs are extremely applicable in the area of Computer Science, Physics, Chemistry and other branches of mathematics. In view of this article a new thought of product fuzzy distance two labeling graph has been established. This paper considers some complement properties of product fuzzy distance two labeling graph.
Keywords:
Product fuzzy distance two labeling graph, product fuzzy graph, complement of product fuzzy distance two labeling graph.Mathematics Subject Classification:
Mathematics- Pages: 725-730
- Date Published: 01-10-2018
- Vol. 6 No. 04 (2018): Malaya Journal of Matematik (MJM)
[I] A. Rosenfeld, Fuzzy Graph, In: L. A. Zadeh, K. S. Fu, and M. Shimura, Editors, Fuzzy sets and their Applications to Cognitive and Decision Process Academic press, New York, (1975), 77-95.
A. Nagoorgani, and V. T. Chandrasekaran, A first look at fuzzy graph theory, Allied Publishers Pvt. Ltd. (2010).
A. Nagoorgani, Fuzzy bipartite graphs, Journal of Quantitative methods, 2(2006), 54-60.
A. Nagoorgani, and D. Rajalaxmi (a) subahashini, Properties of fuzzy labeling graph, Applied Mathematical Sciences, 6(70)(2012), 3461-3466.
J. N. Mordeson, and Premchand S. Nair, Fuzzy Graphs and Fuzzy hyper- graphs, Physica-Verlag, Heidelberg $(2000)$.
J. N. Mordeson and Y. Y. Yao, Fuzzy cycles and fuzzy trees, The Journal of Fuzzy Mathematics, 10(1)(2002), 189-202.
J. N. Mordeson and Chang-Shyh Peng, Operation on fuzzy graphs, Information Sciences, 79(1994), 169-170.
K. R. Bhutani, and A. Rosenfeld, Strong arcs in fuzzy graph, Information sciences, 152(2003), 319-322.
L.A. Zadeh, Fuzzy sets. Information and control, 8(1965), 338-353.
M. Delagado, J. L. Verdegay and M. A. Villa, On fuzzy tree definition, European Journal of Operation Research, $22(1985), 243-249$.
M. S. Sunitha and A. Vijayakumar, A characterization of fuzzy trees, Information Science, 113(1999), 293-300.
M. S. Sunitha and S. Mathew, Fuzzy Graph Theory: A Survey, Annals of Pure and Applied Mathematics, $4(1)(2013), 92-110$.
P. Bhattacharya, Some remarks on fuzzy graphs, Pattern Recognition Letters, 6(1987), 297-302.
R. T. Yeah and S. Y. Bang, Fuzzy relations, fuzzy graphs and their applications to clustering analysis, In: L. A. Zadeh, K. S. Fu, M. Shimura, Eds, Fuzzy Sets and their Applications, Academic Press, (1975) 125-149.
R. J. Shajila and S. Vimala, Fuzzy Vertex Graceful Labeling On Wheel And Fan Graphs, IOSR Journal of Mathematics (IOSR-JM), 12(2)(2016), 45-49.
S. Mathew and M. S. Sunitha, Types of arcs in a fuzzy graph, Information Science, 179(2009), 1760-1768.
S. Mathew and M. S. Sunitha, Node connectivity, arc connectivity of a fuzzy graph, Information Sciences, $180(2010), 519-531$.
V. Ramaswamy, and B. Poornima, Product Fuzzy Graphs, International Journal of Computer Science and Network Security, 9(1)(2009), 114-119.
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