F-index of graphs based on four operations related to the lexicographic product

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Authors :

Nilanjan De 1 *

Author Address :

1 Calcutta Institute of Engineering and Management, Kolkata, India.

Abstract :

A new branch of mathematical chemistry, known as chemical graph theory which deals with the non trivial applications of graph theory to solve molecular problems. A topological index of a graph is a real number which is fixed under graph isomorphism. The forgotten topological index or F-index of a graph is defined as the sum of cubes of the degree of all the vertices of the graph. In this paper we study the F-index of four operations related to the lexicographic product on graphs

Keywords :

Topological indices, Graph operations, Lexicographic product.

DOI :

10.26637/MJM0802/0013

Article Info :

Received : October 15, 2019; Accepted : March 11, 2020.