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Degrees in intuitionistic fuzzy graphs
M.G. Karunambigai,R. Buvaneswari 원광대학교 기초자연과학연구소 2017 ANNALS OF FUZZY MATHEMATICS AND INFORMATICS Vol.13 No.3
In this paper, the concept of strong degree, total strong degree of a vertex, strong size and strong order in an intuitionistic fuzzy graph (IFG) has been introduced and its properties in IFGs and complete IFGs are analysed. The vertex intuitionistic fuzzy sequence has been introduced.
Secure domination in fuzzy graphs and intuitionistic fuzzy graphs
M.G. Karunambigai,S. Sivasankar,K. Palanivel 원광대학교 기초자연과학연구소 2017 ANNALS OF FUZZY MATHEMATICS AND INFORMATICS Vol.14 No.4
In this paper we introduce the concept of secure domination and secure total domination in fuzzy graphs and intuitionistic fuzzy graphs. Secure domination number $\gamma_{s}(G)$ and secure total domination number $\gamma_{st}(G)$ for several classes of fuzzy graphs and intuitionistic fuzzy graphs have been determined. The definition of 2-total dominating set, 2-secure dominating set, 2-secure total dominating set and its domination number in fuzzy graphs and intuitionistic fuzzy graphs are defined and some properties are analysed with suitable examples.
CAYLEY INTUITIONISTIC FUZZY GRAPHS
Muhammad Akram,M.G. Karunambigai,O.K. Kalaivani 한국전산응용수학회 2014 Journal of applied mathematics & informatics Vol.32 No.5
In this paper, we introduce the notion of Cayley intuitionistic fuzzy graphs and investigate some of their properties. We present some interesting properties of intuitionistic fuzzy graphs in terms of algebraic structures. We discuss connectedness in Cayley intuitionistic fuzzy graphs. We also describe different types of $\alpha$-connectedness in Cayley intuitionistic fuzzy graphs.
CAYLEY INTUITIONISTIC FUZZY GRAPHS
Akram, Muhammad,Karunambigai, M.G.,Kalaivani, O.K. The Korean Society for Computational and Applied M 2014 Journal of applied mathematics & informatics Vol.32 No.5
In this paper, we introduce the notion of Cayley intuitionistic fuzzy graphs and investigate some of their properties. We present some interesting properties of intuitionistic fuzzy graphs in terms of algebraic structures. We discuss connectedness in Cayley intuitionistic fuzzy graphs. We also describe different types of ${\alpha}$-connectedness in Cayley intuitionistic fuzzy graphs.