Edge domination in fuzzy graphs using strong arcs

Selvam, A.; Ponnappan, C.Y.

doi:10.28919/jmcs/4302

J. Math. Comput. Sci. 10 (2020), 179–188

Edge domination in fuzzy graphs using strong arcs

A. Selvam, C.Y. Ponnappan

PDF (317.3 KB) https://doi.org/10.28919/jmcs/4302

Abstract

This paper introduces the concept of strong edge dominance in fuzzy graphs. We determine the strong edge domination number 𝛾′(𝐺) of some types of fuzzy graphs. We present some common bounds related to the strong edge domination number. Besides, this new domination is discussed in the join of fuzzy graphs.

Published: 6 November 2019
Volume: 10 (2020)
License: CC BY 3.0

Copyright © 2019 A. Selvam, C.Y. Ponnappan. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Cite this article

A. Selvam, C. Y. Ponnappan, Edge domination in fuzzy graphs using strong arcs, J. Math. Comput. Sci. 10 (2020), 179–188. https://doi.org/10.28919/jmcs/4302

BibTeX

@article{Selvam2020,
  author  = {Selvam, A. and Ponnappan, C.Y.},
  title   = {Edge domination in fuzzy graphs using strong arcs},
  journal = {J. Math. Comput. Sci.},
  volume  = {10},
  year    = {2020},
  pages   = {179--188},
  doi     = {10.28919/jmcs/4302}
}