Mathematical aspects on the harmonic index

The aim of this paper is to obtain new inequalities involving the harmonic index H(G) to other well-known topological indices. Moreover, we show that the computation of the harmonic index is reduced to the computation of the primary subgraphs obtained by a general decomposition of G.

Detalhes bibliográficos
Autores: Hernández Gómez, Juan Carlos, Romero Valencia, Jesus, Reyes Carreto, Ramon
Tipo de documento: artigo
Estado:Versão publicada
Data de publicação:2017
País:México
Recursos:Universidad Autónoma de Guerrero
Repositório:Repositorio Institucional de Ciencia Abierta de la Universidad Autónoma de Guerrero
Idioma:inglês
OAI Identifier:oai:ri.uagro.mx:uagro/820
Acesso em linha:http://ri.uagro.mx/handle/uagro/820
https://doi.org/10.12988/ijma.2017.611121
Access Level:Acceso aberto
Palavra-chave:UNESCO Thesaurus /Harmonic index
UNESCO Thesaurus /Zagreb index
UNESCO Thesaurus /Topological indices
CIENCIAS FÍSICO MATEMÁTICAS Y CIENCIAS DE LA TIERRA::MATEMÁTICAS
Descrição
Resumo:The aim of this paper is to obtain new inequalities involving the harmonic index H(G) to other well-known topological indices. Moreover, we show that the computation of the harmonic index is reduced to the computation of the primary subgraphs obtained by a general decomposition of G.