the topological indices, defined as the sum of contributions of all pairs of vertices (among which are the wiener, harary, hyper–wiener indices, degree distance, and many others), are expressed in terms of contributions of edges and pairs of edges.

in this paper, we first collect the earlier results about some graph operations and then wepresent applications of these results in working with chemical graphs.

Introduction/purpose: The Sombor matrix is a vertex-degree-based associated with the index. paper concerned spectral properties of matrix. Results: Equalities and inequalities for eigenvalues are obtained, from which two fundamental bounds energy (= matrix) established. These depend on index "forgotten" topological Conclusion: results contribute to theory matrix, as well general matrices graph ...

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 which were introduced by Sarala et al. [D. Sarala, H. Deng, S.K. Ayyaswamya and S. Balachandrana, The Zagreb indices of graphs based on four new operations related...

Domination is an ancient graph theoretical topic with applications in psychology, political sci- ence, and human behaviour. A topological index area of theory that governs a compound’s molecular structure. This work aims to conglomerate the two different branches determine dominational variants some celebrated degree based index. The newly described descriptors are generalised standard graphs, ...

Chemical graph theory is currently expanding the use of topological indices to numerically encode chemical structure. The prediction characteristics provided by structure molecule a key feature these indices. concepts from are presented in brief discussion one its many applications chemistry, namely, quantitative structure-activity relationship (QSAR) studies and structure-property (QSPR) studi...

A topological index can be focused on uprising of a chemical structure into real number. The degree-based indices have an active place among all indices. These descriptors intentionally associate certain physicochemical assets the corresponding compounds. Graph theory plays very useful role in such type research directions. hex-derived networks vast applications computer science, physical scien...