Inequalities on Topological Indices

Topological indices have been widely used in different fields associated with scientific research. They are recognized as useful tools in applied research in Chemistry, Ecology, Biology, Physics, among others. For many years, scientists have been trying to improve the predictive power of the famous Randi’c index. This led to the introduction and study of new topological descriptors that correlate or improve the level of prediction of the Randi’c index. Among the most commonly used descriptors are the Inverse index, the first general Zagreb index and the recently introduced Arithmetic- Geometric index. In this work we study the mathematical properties and relationships of the aforementioned topological indices.Programa de Doctorado en Ingeniería Matemática por la Universidad Carlos III de MadridPresidente: Domingo de Guzmán Pestana Galván.- Secretaria: Ana Portilla Ferreira.- Vocal: Eva Tourís Loj

Topological indices and f-polynomials on some graph products

We Obtain Inequalities Involving Many Topological Indices In Classical Graph Products By Using The F-Polynomial. In Particular, We Work With Lexicographic Product, Cartesian Sum And Cartesian Product, And With First Zagreb, Forgotten, Inverse Degree And Sum Lordeg Indices.Gobierno de Españ