Independent Domination in Some Operations on Bipolar Fuzzy Graphs
Abstract
In this paper, the bounds of an independent domination number in some operations on bipolar fuzzy graphs like join, Cartesian product, composition, cross product and strong product were obtained.
Downloads
References
M.Akram,”Bipolar fuzzy graphs”, Information Sciences,181,(2011), 5548-5564.
M. Akram,”Bipolar fuzzy graphs with applications”, Knowledge-Based Systems,39,(2013), 1-8.
M. Akram and W.A. Dudek, ”Regular bipolar fuzzy graphs”, Neural Computing and Applications,21,(2012), 197-205.
M. Akram and M.G. Karunambigai, ”Metric in bipolar fuzzy graphs”, World Applied Sciences Journal,14,(2011), 1920-1927.
M. Akram and et al.,”Domination in Bipolar fazzy Graphs”, FUZZY-IEEE international conference on fuzzy systems, July 7-10, Hayderabad, India.
E.J. Cockayne, O. Favaron, C. Payan and A.C. Thomason, Contribution to the theory of domination and irredundance in graph, Discrete mathematics, 1981.
T. Haynes, S.T. Hedetniemi and P.J. Slater, Fundamentals of domination in graph, Marcel Deckker, New York, 1998.
Mansour Hezam AL-Shraby and Mahioub .M. Q. Shubatah,”Independent Domination in Bipolar Fuzzy Graphs”,EPH - International Journal of Mathematics and Statistics,2,(2020), 16-27.
A. Nagoorgani and P. Vadivel, Fuzzy independent dominating set, Adv. in Fuzzy sets and system, (2007).
R. Parvathi and G. Thamizhendhi, Domination in intuitionistic fuzzy graphs, Notes on Intuitionistic fuzzy Sets, (2010).
A.Somasundaram, S. Somasundaram ”Domination in fuzzy graphs I” Pattern Recognition Letters, 19,(1998), 787-791.
D. Umamageswari and P.Thangaraj,”DOMINATION IN OPERATION ON BIPOLAR FUZZY GRAPHS”,International Journal of Computational Research and Development (IJCRD),2,(2017), 56-65.
W.R. Zhang, ”Bipolar fuzzy sets and relations”: a computational framework forcognitive modeling and multiagent decision analysis, Proc. of IEEE Conf., (1994).
W.R. Zhang, ”Bipolar fuzzy sets”, Proc. of FUZZ-IEEE, (1998).
Copyright (c) 2020 IJRDO - Journal of Mathematics (ISSN: 2455-9210)
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
Author(s) and co-author(s) jointly and severally represent and warrant that the Article is original with the author(s) and does not infringe any copyright or violate any other right of any third parties, and that the Article has not been published elsewhere. Author(s) agree to the terms that the IJRDO Journal will have the full right to remove the published article on any misconduct found in the published article.