ON F*- INDEX OF FUZZY GENERALIZED TRANSFORMATION GRAPHS
Neeta M. Chougule1, D. B. Unde2
1Department of Mathematics, KIT’S College of Engineering, Kolhapur, India2Department of Mathematics, DR. J. J. Magdum College of Engineering, Jaysingpur, India
Abstract: The Fuzzy graphs serve as a practical tool in mathematics, enabling users to effortlessly represent relationships between various concepts. Their inherent fuzziness makes them adaptable and well- suited for diverse environments. A topological index is a numerical value that characterizes the structural graph of a molecule. This study aims to introduce a new topological index in the fuzzy graph theory and study its properties. In this direction, we have introduced -index of a fuzzy graph . In this paper, the -index of fuzzy generalized transformation graphs and its related bounds are studied.
Keywords: First Zagreb index; Second Zagreb index; F-index; F*-index.