Connected Perfect Domination in Bipolar fuzzy graphs

  • Hameed Al-Kohily Department of Studies in Mathematics Faculty of Science and Education AL-Baidhaa University AL-Baidhaa, Yemen
  • Mahioub M. Q. Shubatah Department of Studies in Mathematics Faculty of Science and Education AL-Baidhaa University AL-Baidhaa, Yemen
Keywords: Intuitionistic Fuzzy graph,bipolar fuzzy graph. domination number, perfect domination, connected perfect domination and tribal connected domination number

Abstract

In this paper we introduced and studied the concepts of connected domination γc(G) and tribal connected domination γtc(G) in bipolar fuzzy graphs. We determine the connected perfect domination number for some standard fuzzy graphs with
suitable examples. We investigated the relationship of γc(G) and γtc(G) with other known
parameters of G. Some bounds and some interesting results for the parameters are obtained. Further, we also obtain Nordhaus - Gaddum type results of γc(G). finally, the
tribal connected perfect domination numberγtcp(G) for several classes of biploar fuzzy
graphs are given with suitable example and obtain bounds for the same.

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Published
2021-10-05
How to Cite
Al-Kohily, H., & Shubatah, M. M. Q. (2021). Connected Perfect Domination in Bipolar fuzzy graphs. IJRDO - Journal of Mathematics (ISSN: 2455-9210), 7(10), 01-11. Retrieved from https://ijrdo.org/index.php/m/article/view/4613