The Path and the Star as Extremal Values of Vertex–Degree–Based Topological Indices Among Trees

We denote by Tn the set of trees with n vertices, Pn ∈ Tn is the path tree and Sn ∈ Tn is the star tree. Let ϕ be a vertex-degree-based topological index defined over Tn. For any tree T ∈ Tn, we find an expression of ϕ (T) in terms of ϕ (Pn) and a function fϕ associated to ϕ, in such a way that the...

Full description

Autores:
Cruz Rodes, Roberto
Rada Rincón, Juan Pablo
Tipo de recurso:
Article of investigation
Fecha de publicación:
2019
Institución:
Universidad de Antioquia
Repositorio:
Repositorio UdeA
Idioma:
eng
OAI Identifier:
oai:bibliotecadigital.udea.edu.co:10495/46421
Acceso en línea:
https://hdl.handle.net/10495/46421
Palabra clave:
Teoría de grafos
Graph theory
Topología algebraica
Algebraic topology
Árboles (Teoría de grafos)
Trees (Graph theory)
Funciones algebraicas
Algebraic functions
Rights
openAccess
License
http://creativecommons.org/licenses/by-nc-sa/4.0/