Global Domination in Bipolar Fuzzy Graphs

Authors

  • V. Mohanaselvi Department of Mathematics, Nehru Memorial College, Puthanampatti 621007
  • S. Sivamani Department of Mathematics, Saranathan College of Engineering, Trichy 620012
  • N. Revathi Department of Mathematics, Paavendhar College of Arts and Science, Salem 636121

DOI:

https://doi.org/10.26713/jims.v9i3.946

Keywords:

Bipolar fuzzy graph (BFG), Strong edge, Dominating set, Domination number, Global dominating set, Global domination number, Semi complete, Purely semi complete, Semi complementary, Semi global dominating set and semi global domination number

Abstract

In this paper the concept of global domination in bipolar fuzzy graph is introduced and studied its characterization. The necessary and sufficient condition for the global dominating set is given in terms of domination between the vertices. Also semi complete, purely semi complete, semi complementary and semi global domination concepts are defined and some results are obtained.

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References

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M.G. Karunambigai, M. Akram, K. Palanivel and S. Sivasankar, Domination in bipolar fuzzy graph, in Proceedings of the International Conference on Fuzzy Systems FUZZ-IEEE-2013, Hyderabad, India (2013), 1 – 6.

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Published

2017-10-30
CITATION

How to Cite

Mohanaselvi, V., Sivamani, S., & Revathi, N. (2017). Global Domination in Bipolar Fuzzy Graphs. Journal of Informatics and Mathematical Sciences, 9(3), 815–825. https://doi.org/10.26713/jims.v9i3.946

Issue

Vol. 9 No. 3 (2017)

Section

Research Articles

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