EDGE DOMINATION IN INTUITIONISTIC FUZZY GRAPHS

Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 109

Volume : 16 , Issue : 3
DOI:
Author :
M. M. Shubatah (Department of Studies in Mathematics, AL-Baidha University, Rada a, AL-Baidha, YEMEN)
L. N. Tawfiq (Department of Mathematics, University of Baghdad, Baghdad, IRAQ)
A. Al-Raqeeb A. AL-Abdli (Department of Mathematics, Aden University, Aden, YEMEN)

Abstract

In this paper we introduce the concepts of edge domination and total edge domination in product intuitionistic fuzzy graphs. We determine the edge domination number $\gamma'(G)$ and the total edge domination number $\gamma'_t(G)$ for several classes product intuitionistic fuzzy graphs and obtain bounds for the same. We also obtain Nordhaus - Gaddum type results for this parameter.

Keywords and Phrases

Fuzzy graph, intuitionistic fuzzy graphs, product intuitionistic fuzzy graph, edge domination number, total edge domination number and independent edge domination number.

A.M.S. subject classification

Primary: 05C72 , 05C69. Secondary: 03E72, 02F55.

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