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 …

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 …

A graph which is isomorphic to its complement is said to be a self-complementary graph, or
sc-graph for short. These graphs have a high degree of structure, and yet they are far from …

The concept of an antipodal bipolar fuzzy graph of a given bipolar fuzzy graph is introduced.
Characterizations of antipodal bipolar fuzzy graphs are presented when the bipolar fuzzy …

In this dissertation, variations of distance in graphs are investigated. First, for a connected
graph $ G $, a subset $ S $ of $ V (G) $ and vertices $ u, v $ of $ G $, the $ S $-distance …

The antipodal graph of a graph G, denoted by A (G'), has the same vertex set as t7 with an
edge joining vertices u and v if d (u, v) is equal to the diameter of 17.(If 17 is disconnected …

We study square-complementary graphs, that is, graphs whose complement and square are
isomorphic. We prove several necessary conditions for a graph to be square …

For a finite simple graph X, the 2-distance graph T 2 (X) of X is the graph having V (X) as its
vertex set and two vertices u and v in T 2 (X) are adjacent if and only if the distance between …

A signed graph is an ordered pair Σ=(G, σ), where G is a graph and σ: E (G)⟶{+ 1,− 1} is a
mapping. For e∈ E (G), σ (e) is called the sign of e and for any sub-graph H of G, σ (H)=∏ …

In this paper the S-antipodal graph of a graph is defined and its properties are discussed.
The S-antipodal graph of a Hamiltonian graph and an eulerian graph are also studied. It is …