FUZZY INDEPENDENT SETS AND FUZZY COVERING

Authors

  • V T Chandrasekaran Associate Professor, Department of Mathematics, Jawahar Science College, Neyveli, Tamil Nadu 607803, India.
  • R Sangeetha Assistant Professor, Department of Mathematics, Jawahar Science College, Neyveli, Tamil Nadu 607803, India

DOI:

https://doi.org/10.48165/

Keywords:

Fuzzy vertex independent set, fuzzy vertex independence number, fuzzy vertex covering, fuzzy vertex covering number, fuzzy arc independent set, fuzzy arc independence number, fuzzy arc covering, fuzzy arc covering number, saturated fuzzy vertex, M -alternating paths, M -augmenting path

Abstract

In this paper, we define fuzzy vertex independent sets, fuzzy vertex covering, fuzzy arc independent set,  fuzzy arc covering of a fuzzy graph. Some properties of maximum fuzzy independent set and minimum  fuzzy covering are discussed.  

References

. Bhutani, K.R. and Rosenfeld, A. (2003). Strong arcs in fuzzy graphs, Information Sciences, Vol. 152, 319-322.

. Nagoorgani, A. and Chandrasekaran, V.T. (2010) Fuzzy Graph Theory, Allied Publishers, New Delhi. [3]. Bondy, J.A. and Murthy, U.S.R. (1976). Graph theory with Applications, MacMillan Press Ltd., London and Basingstoke.

. Chandrasekaran, V.T. and Sangeetha, R. (2018). Fuzzy Dominating Set, International Journal of Mathematics and its Application, Vol. 6, 301-305.

Published

2019-07-12

Issue

Vol. 38 No. 1 (2019): Bulletin of Pure and Applied Sciences (Math & Stat) (Jan-Jun) 2019

Section

Articles

How to Cite

Chandrasekaran, V.T., & Sangeetha, R. (2019). FUZZY INDEPENDENT SETS AND FUZZY COVERING . Bulletin of Pure & Applied Sciences- Mathematics and Statistics, 38(1), 320–323. https://doi.org/10.48165/
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