Equitable edge domination in fuzzy graphs
Downloads
DOI:
https://doi.org/10.26637/MJM0604/0002Abstract
n this paper, we introduced equitable edge dominating set, equitable edge domination number of fuzzy graphs and also obtain some bounds for equitable edge domination number. Also give some necessary and sufficient conditions for the equitable edge dominating set. Further introduction to connected equitable edge dominating set, connected equitable edge domination number of fuzzy graphs and their some relations are discussed.
Keywords:
Strong neighbours, edge dominating set, edge domination number, equitable edge dominating set, equitable edge domination number.Mathematics Subject Classification:
Mathematics- Pages: 716-719
- Date Published: 01-10-2018
- Vol. 6 No. 04 (2018): Malaya Journal of Matematik (MJM)
A. Alwardi and N.D. Soner, Equitable edge domination in graphs, Bulletin of International Mathematical Virtual Institute, 3(2013), 7-13.
K.M. Dharmalingam and M. Rani, Equitable domination in fuzzy graphs, International Journal of Pure and Applied Mathematics, 94(5)(2014), 661-667.
C. Gurubaran, A. Prasanna and A. Mohamed Ismayil, Paired Equitable Domination in Fuzzy Graphs, International Journal of Mathematical Archive,9(6), (2018), 4347.
S.R. Jayaram, Line domination in graphs, Graphs and Combinatorics, 3(1987), 357-363.
A. Nagoor Gani and T. Chandrasekaran, Domination in fuzzy graph, Adv. Fuzzy Sets and System, 1(1)(2006), $17-26$
A. Rosenfeld, L.A. Zadeh, K.S. Fu, K. Tanaka and M. Shimura, Fuzzy sets and Their Applications to cognitive and Decision Processes, Academic Press, New York, $(1975), 77-95$
A. Somasundaram and S. Somasundaram, Domination in fuzzy graphs-I, Pattern Recognition Letters. 19(1998), $787-791$.
S. Venkatasubramanian and K.M. Dharmalingam, Degree Equitable domination in graphs, Kragujevac J. Math., $35(2011), 191-197$.
L.A. Zadeh, Fuzzy sets, Information Control, 8(1965), $338-353$.
Similar Articles
- Mostefa NADIR, Solving linear integral equations with Fibonacci polynomials , Malaya Journal of Matematik: Vol. 6 No. 04 (2018): Malaya Journal of Matematik (MJM)
You may also start an advanced similarity search for this article.
Metrics
Published
How to Cite
Issue
Section
License
Copyright (c) 2018 MJM
This work is licensed under a Creative Commons Attribution 4.0 International License.
