THE GLOBAL DOMINATION NUMBER IN PRODUCT FUZZY GRAPHS

Authors

  • Haifa A. A Department of Mathematics, Faculty of Education, Art and Science University of Sheba Region, Mareb, (Yemen)
  • Mahioub M.Q Shubatah Department of Mathematics, Faculty of Education and Science, AL-Baydaa University, AL-Baydaa, Yemen.

DOI:

https://doi.org/10.53555/eijms.v6i1.45

Keywords:

Product fuzzy graphs, global domination number, global domatic number and global full number.

Abstract

In this paper we introduced the concepts of global domination number  and global domatic number in product fuzzy graph and is denoted by γg(G)  and dg(G), respectively we determine the global domination number γg(G)  for several classes of product fuzzy graph and obtain Nordhaus-Gaddum type  results for this parameter. Further, some bounds of γg(G) and dg(G) are  investigated. Also the relations between γg(G)(dg(G)) and other known parameter  in Product fuzzy graphs are investigated. Finally we introduce the concept of global full number and some results about this concept in product fuzzy graph are done.

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Published

2020-06-27

Issue

Vol. 6 No. 1 (2020): EPH - International Journal of Mathematics and Statistics (ISSN: 2208-2212)

Section

Articles

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