In the course of fuzzy technological development, fuzzy graph theory was identified quite
early on for its importance in making things work. Two very important and useful concepts …

An arc of a fuzzy graph is called strong if its weight is at least as great as the strength of
connectedness of its end nodes when it is deleted. An arc is strong iff its weight is equal to …

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 …

Connectivity and strength has a major role in the field of network connecting with real world
life. Complexity function is one of these parameter which has manifold number of …

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 …

Connectivity parameters have important role in the study of networks in the physical world.
Wiener index is one such parameter with several applications in chemistry and network …

Connectivity is a high priority concept in fuzzy graphs. The stability of a fuzzy graph is
determined by the strength of connectedness of each pair of its nodes. This paper introduces …

In this paper, regular fuzzy graphs, total degree and totally regular fuzzy graphs are
introduced. Regular fuzzy graphs and totally regular fuzzy graphs are compared through …