Call for Paper - May 2015 Edition
IJCA solicits original research papers for the May 2015 Edition. Last date of manuscript submission is April 20, 2015. Read More
International Journal of Computer Applications
© 2014 by IJCA Journal
Volume 107 - Number 16
Year of Publication: 2014
10.5120/18835-0356 |
John J Stephan, A Muthaiyan and Vinoth N Kumar. Article: Strong (Weak) Domination Intuitionistic Fuzzy Graphs. International Journal of Computer Applications 107(16):16-18, December 2014. Full text available. BibTeX
@article{key:article, author = {J. John Stephan and A. Muthaiyan and N. Vinoth Kumar}, title = {Article: Strong (Weak) Domination Intuitionistic Fuzzy Graphs}, journal = {International Journal of Computer Applications}, year = {2014}, volume = {107}, number = {16}, pages = {16-18}, month = {December}, note = {Full text available} }
Abstract
Let G be an IFG. Then is said to be a strong (weak) dominating set if every is strongly (weakly) dominated by some vertex in D. We denote the strong (weak) intunionistic 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, introduce the strong (weak) domination in intunionistic fuzzy graphs and obtain some bounds in IFG.
References
- Arumugam. S and Velammal. S, Edge Domination in Graphs, Taiwanese Journal Of Mathematics, Vol. 2, No. 2, pp. 173-179, June 1998
- Ayyaswamy. S, and Natarajan. C, International Journal of Computational and Mathematical sciences, 2010.
- K. Atanassov, Intuitionistic Fuzzy Sets: Theory and Applications, Physica-Verlag, New York (1999).
- Harary. F. , Graph Theory, Addition Wesely, Third Printing, October 1972.
- Mordeson,J. N. , and Nair, P. S. , Fuzzy graphs andFuzzy Hyper graphs, Physica-Verlag, Heidelberg,1998,second edition,2001.
- Nagoor Gani, A. , and Vadivel. P, Relation between the Parameter of Independent Domination and Irredundance in Fuzzy Graph, International Journal of Algorithms, Computing and Mathematics, Vol 2,2009. of Algorithms, Computing and Mathematics,Vol 2,2009.
- Nagoor Gani A, Shajithab Begum S, Degree, Order and Size in Intuitionistic Fuzzy Graphs, International journal of algorithms, Computing and Mathematics, Volume 3, Number 3, August 2010
- Somasundaram,A. ,Somasundaram,S. ,1998,domination in Fuzzy Graphs-I, Pattern Recognition Letters, 19, pp. 787–791.
- Somasundaram, A. , 2004, Domination in Fuzzy Graph-II, Journal of Fuzzy Mathematics, 20
- R. B. Allan and R. Laskar, On domination and independant domination of a graph, Discrete Math. 234 (1978), 73 – 76
- Somasundaram, A. , Somasundaram, S. , 1998, Domination in Fuzzy Graphs-I, Pattern
- Nagoor Gani, A, and Basher Ahamed. M, Order and Size in Fuzzy Graphs, Bulletin of Pure and Applied Science, Vol 22E, 2003; p. 145-148
- C. Natarajan and S. K. Ayyaswamy, on strong weak domination in fuzzy graphs, World Academy of Science, Engineering and Technology, Vol:4 2010-07-24