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Dominating Critical in Intuitionistic Fuzzy Graphs

by J. John Stephan, A. Muthaiyan, N. Vinoth Kumar
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 138 - Number 4
Year of Publication: 2016
Authors: J. John Stephan, A. Muthaiyan, N. Vinoth Kumar
10.5120/ijca2016908798

J. John Stephan, A. Muthaiyan, N. Vinoth Kumar . Dominating Critical in Intuitionistic Fuzzy Graphs. International Journal of Computer Applications. 138, 4 ( March 2016), 44-46. DOI=10.5120/ijca2016908798

@article{ 10.5120/ijca2016908798,
author = { J. John Stephan, A. Muthaiyan, N. Vinoth Kumar },
title = { Dominating Critical in Intuitionistic Fuzzy Graphs },
journal = { International Journal of Computer Applications },
issue_date = { March 2016 },
volume = { 138 },
number = { 4 },
month = { March },
year = { 2016 },
issn = { 0975-8887 },
pages = { 44-46 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume138/number4/24371-2016908798/ },
doi = { 10.5120/ijca2016908798 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T23:38:49.246822+05:30
%A J. John Stephan
%A A. Muthaiyan
%A N. Vinoth Kumar
%T Dominating Critical in Intuitionistic Fuzzy Graphs
%J International Journal of Computer Applications
%@ 0975-8887
%V 138
%N 4
%P 44-46
%D 2016
%I Foundation of Computer Science (FCS), NY, USA
Abstract

Let G be an IFG. Then is said to bae a strong (weak) dominating set if every is strongly (weakly) dominated by some vertex in D. We denote the strong (weak) intuitionistic fuzzy dominating set by sid-set (wid-set). The minimum vertex cardinality over all the sid-set (wid-set) is called the strong (weak) dominating number of an IFG and is denoted by  In this paper, we introduce the strong (weak) domination in intuitionistic fuzzy graphs and obtain some bounds in IFG.

References
  1. Atanasson , intuitionistic fuzzy set theory and applications, Physcia- verlag, New York, (199).
  2. Ayyaswamy.S, and Natarajan.C, Strong (weak) domination in fuzzy graphs, International Journal of Computational and Mathematical sciences, 2010.
  3. Balakrishnan and K.Ranganathan, A Text Book of Graph theory, Springer, 2000.
  4. Harary.F., Graph Theory, Addition Wesely, Third Printing, October 1972.
  5. Rosenfeld A. Fuzzy Graphs ,Fuzzy sets and their Applications (Acadamic Press, New York)
  6. Mordeson, J.N., and Nair, P.S., Fuzzy graphs and Fuzzy Hyper graphs, Physica-Verlag, Heidelberg, 1998, second edition, 2001.
  7. R.Parvathi and G.Thamizhendhi, Domination in Intuitionistic Fuzzy Graphs, Fourteenth Int.Conf. On IFSs, Sofia 15-16 may 2010.
  8. Somasundaram,A.,Somasundaram,S.,1998, Domination in Fuzzy Graphs-I, Pattern Recognition Letters, 19, pp. 787–791.
  9. Somasundaram, A., 2004, Domination in product Fuzzy Graph-II, Journal of Fuzzy Mathematics
  10. R.Parvathi and G.Thamizhendhi, Domination in Intuitionistic Fuzzy Graphs, Fourteenth Int.Conf. On IFSs, Sofia 15-16 may 2010.
Index Terms

Computer Science
Information Sciences

Keywords

Intuitionistic fuzzy graph strong (weak) domination strong (weak) domination number dominating crictal

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