The concept of connectivity plays an important role in both theory and applications of fuzzy
graphs. Depending on the strength of an arc, this paper classifies arcs of a fuzzy graph into …

Lotfi Zadeh introduced the concept of a fuzzy subset of a set in 1965 as a way to represent
uncertainty. His ideas have motivated the interest of researchers worldwide. One such …

A fuzzy graph (f-graph) is a pair G:(σ, μ) where σ is a fuzzy subset of a set S and μ is a fuzzy
relation on σ. A fuzzy graph H:(τ, υ) is called a partial fuzzy subgraph of G:(σ, μ) if τ (u)≤ σ …

The fuzzy graph approach is more powerful in cluster analysis than the usual graph–
theoretic approach due to its ability to handle the strengths of arcs effectively. The concept of …

Inspired by Lotfi Zadeh's seminal work on fuzzy logic, Azriel Rosenfeld developed
cornerstone papers in fuzzy abstract algebra and fuzzy graph theory. This book is the third …

Network science is a widely studied subject and graph theory has a major role in it. This
paper studies connectivity status of vertices in a fuzzy graph. This paper adopt connectivity …

Fuzzy set theory owes its origin to the work of Zadeh. After the significant introduction of
fuzzy set theory, this remarkable approach has been applied to various domains. In 1975 …

In this paper we introduce the notion of product of two interval valued intuitionistic fuzzy
graphs and investigate some of their properties. We discuss some propositions on Cartesian …

A fuzzy influence graph is a well-organized, practical, and applicable tool to manage the
uncertainty involved in all real-life challenges where uncertain facts, figures, and findings …

Modern networks like the internet and data grids are rapidly evolving and quickly growing in
size. The investigation and study of their dynamism and stability necessitate the use of graph …