Connected, regular and split liar domination on fuzzy graphs
Downloads
DOI:
https://doi.org/10.26637/MJM0803/0050Abstract
Liar domination set in a fuzzy graph is the set to identify the intruder location in a computer network / communication network with minimum fuzzy cardinality of the nodes. In this paper we discussed Connected, Regular and Split liar domination on fuzzy graphs and also discussed some of their properties.
Keywords:
Strong Edge, Open neighbourhood, closed neighbourhood, Domination, Liar Domination Set, Regular Fuzzy Graphs, Connected Liar Domination, Regular Liar Domination, Split Liar DominationMathematics Subject Classification:
Mathematics- Pages: 1026-1030
- Date Published: 01-07-2020
- Vol. 8 No. 03 (2020): Malaya Journal of Matematik (MJM)
L.A. Zadeh, Fuzzy sets, Information Control, 8(1965), 338-353.
B.S. Panda, S. Paul, Liar Domination in Graphs: Complexity and Algorithm, Discrete Applied Mathematics, 161(2013), 1085-1092.
A. Kauffman, Introduction a La Theorie des SousensaemblesFlous, Pairs: Masson et cieEditeurs, 1973.
A. Rosenfeld, L.A.Zadeh, K.S. Fu and M. Shimura(Eds), Fuzzy Sets and Their Applications, Academic Press, New York, 1975, pp. 77-95.
A.P. Battacharya, Some Remarks on Fuzzy Graphs, Pattern Recognition Letter 6(1987), 297-302.
J.M. Moderson, C.S. Peng, Operation on Fuzzy Graphs, Information Sciences 19(1994), 159-170.
M.S. Sunitha and A. Vijayakumar, Complement of Fuzzy Graphs, Indian Journal of Pure and Applied Mathematics 33(2002), 1451-1464.
A. Nagoorgani and M. Basheer Ahamed, Order and Size in Fuzzy Graphs, Bulletin of Pure and Applied Sciences, 22E(1)(2003), 145-148.
C.Y. Ponnapan, P. Surulinathan and S. Basheer Ahamad, The Strong Split Domination Number of Fuzzy Graphs, International Journal of Computer and Organization Trends. V4(3)(2014), $1-4$.
A. Nagoorgani and K. Ratha, On Regular Fuzzy Graphs, Journal of Physical Sciences, 12(2008), 33-40.
O.T. Manjusha and M.S. Sunitha, Connected Domination in Fuzzy Graphs using Strong Arcs, Annals of Fuzzy Mathematics and Informatics, 10(6)(2015), 979-994.
S. Mathew and M.S.Sunitha, Types of Arcs in Fuzzy Graphs, Information Sciences, Elseiver, 179(2009), 17601768.
P. Karthick and S. Narayanamoorthy, The Intuitionistic Fuzzy Line Graph Model to Investigate Radio Coverage Network, International Journal of Pure and Applied Mathematics, 109(10)(2016), 79-87.
S. Narayanamoorthy and P. Karthick, Total Coloring and Chromatic Number of Strong Intuitionistic Fuzzy Graph, Science Spectrum, 2(1)(2017), 72-76.
S. Narayanamoorthy and P. Karthick, A comparative performance of gray level image thresholding using normalized graph cut based standard S membership function, Iranian Journal of Fuzzy Systems, 16(1)(2019), 17-31.
P. J. Slater, Liar's Domination, Networks: An International Journal, 54(2)(2008), 70-74.
- NA
Similar Articles
- B.R. Bijila, P. Ramesh Kumar, On atom-based digraph of a rectangular skew lattice , Malaya Journal of Matematik: Vol. 8 No. 03 (2020): 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) 2020 MJM
This work is licensed under a Creative Commons Attribution 4.0 International License.
