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Research Article

EDGE DOMINATION IN INTUITIONISTIC FUZZY GRAPHS

M
M. M. Shubatah Department of Studies in Mathematics, AL-Baidha University, Rada a, AL-Baidha, YEMEN
L
L. N. Tawfiq Department of Mathematics, University of Baghdad, Baghdad, IRAQ
A
A. Al-Raqeeb A. AL-Abdli Department of Mathematics, Aden University, Aden, YEMEN
Volume 16, Issue 3 Pages 181-198 December 30, 2020 367 downloads
Article overview

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 graphintuitionistic fuzzy graphsproduct intuitionistic fuzzy graphedge domination numbertotal edge domination number and independent edge domination number.

AMS Subject Classification

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

Reference information

How to Cite

M. M. Shubatah, L. N. Tawfiq, A. Al-Raqeeb A. AL-Abdli (2020). EDGE DOMINATION IN INTUITIONISTIC FUZZY GRAPHS. South East Asian Journal of Mathematics and Mathematical Sciences, 16(3), 181-198.
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