Affiliations: [a] Department of Mathematics, Sri Vasavi College, Erode, Tamilnadu, India | [b] Department of Mathematics, University of the Punjab, New Campus, Lahore, Pakistan
Correspondence:
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Corresponding author. M.G. Karunambigai, Department of Mathematics, Sri Vasavi College, Erode - 638 316, Tamilnadu, India. Tel.: +9865959089; Fax: +424 2535199; E-mail: [email protected].
Abstract: In this paper, the concept of strong and superstrong vertices in intuitionistic fuzzy graphs (IFGs) are introduced. Necessary and sufficient conditions for the existence of strong and superstrong vertices in intuitionistic fuzzy graphs are discussed. Necessary and sufficient conditions for an edge to be strong in intuitionistic fuzzy graphs are also dealt and the existence of strong and superstrong vertices in strong IFGs are studied. An algorithm is defined to identify an intuitionistic fuzzy steady path between two vertices of IFGs which finds application in decision making problems.
