Inequalities on topological indices

Autores: José Luis Sánchez Santiesteban
Directores de la Tesis: José Manuel Rodríguez García (dir. tes.) , José María Sigarreta Almira (dir. tes.)
Lectura: En la Universidad Carlos III de Madrid ( España ) en 2022
Idioma: español
Tribunal Calificador de la Tesis: Domingo Pestana Galván (presid.) , Ana María Portilla Ferreira (secret.) , Eva Tourís (voc.)
Enlaces
- Tesis en acceso abierto en: e-Archivo
Resumen
- 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.