Mixed domination in an M-strong fuzzy graph
Downloads
DOI:
https://doi.org/10.26637/mjm302/003Abstract
In this paper, mixed dominating set, mixed domination number, mixed strong domination number and mixed weak domination number of an M-strong fuzzy graph \(G=(\sigma, \mu)\) are defined. Also these numbers are determined for various standard fuzzy graphs. The relationship between these numbers and other well known numbers are derived.
Keywords:
Fuzzy graph, M-strong fuzzy graph, mixed domination number, mixed strong domination number, mixed weak domination numberMathematics Subject Classification:
05C72- Pages: 153-160
- Date Published: 01-04-2015
- Vol. 3 No. 02 (2015): Malaya Journal of Matematik (MJM)
K.R. Bhutani and A. Battou, On M-strong fuzzy graphs, Information Sciences 155,(2003), 103-109. DOI: https://doi.org/10.1016/S0020-0255(03)00157-9
K.R. Bhutani and A. Rosenfeld, strong ares in fuxzy graphs, Inform. Sci.152 (2003),319-322. DOI: https://doi.org/10.1016/S0020-0255(02)00411-5
S. Ismail Mohideen and A. Mohamed Ismayil, The vertex neighbourhood number of a fuzzy graph, Int. Jour. Mathematics Research, vol.2, Number 3,(2010,71-76.
S. Ismail Mohideen and A. Mohamed Ismayil, The edge neighbourhood number of an M-strong fuzzy, Advances in Fuzzy Sets and Systems, Vol.8, No.2,(2011), 89-96.
J. N. Mordeson, Fuxzy line graphs, Pattern Recognition Letter 14(1993),381-354. DOI: https://doi.org/10.1016/0167-8655(93)90115-T
J N. Mondeson, C. S. Peng, Operations on fuzzy graphs, Information Sciences 79(1594),159-170. DOI: https://doi.org/10.1016/0020-0255(94)90116-3
A. Rosenfeld, Fuzry graphs, in: L_A. Zedeh, K.S. Fu, K. Tanaka, M- Shimura (Eds.), Fuzzy sets and Their Applications to Cognitive and Decision Processes, Academic Press, NewYork,(1975),77-95, DOI: https://doi.org/10.1016/B978-0-12-775260-0.50008-6
E. Sampathkumar and S.S. Kamath, , Mixed domination in graphs, The Indian Journal of Statistics, $mathrm{Spl} mathrm{Vol} .54(1992), 399-402.
A. Somasundaram and S. Somasundaram, Domination in fuzzy graph-I, Patter Recognit. Lett.19(9)1998,787-791. DOI: https://doi.org/10.1016/S0167-8655(98)00064-6
A. Somasundaram, Domination in fuzzy graph-II, Joumal of Fuzzy Mathematics 13(2)(2005),281-288. DOI: https://doi.org/10.1109/TFUZZ.2005.846772
MS Sunitha and A. Vijaya kumar, Complementary of a fuzzy graph, Indian Joumal of applied mathematics, 33(9),(2002),1451-1464.
| MS Sunitha and A. Vijaya kumar, A Charectristion of fuzzy tres, Information Science.113(1999),293-300. DOI: https://doi.org/10.1016/S0020-0255(98)10066-X
(13) L.A. Zadeh, Fuzzy sets, Information Control 8/1965),338-353. DOI: https://doi.org/10.1016/S0019-9958(65)90241-X
- NA
Similar Articles
- Salahuddin, Vinesh Kumar, A curious summation formula in the light of Gamma function and contiguous relation , Malaya Journal of Matematik: Vol. 3 No. 03 (2015): Malaya Journal of Matematik (MJM)
- M .P. Chaudhary, Salahuddin, Sangeeta Chaudhary, Computation of a summation formula associated with certain special functions , Malaya Journal of Matematik: Vol. 3 No. 02 (2015): 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) 2015 MJM
This work is licensed under a Creative Commons Attribution 4.0 International License.
