Some bounds for the connectivity index of a chemical graph

Let G be a simple graph. We say that G is a chemical graph if G is connected and the degree d(i) less than or equal to 4 for every vertex i. We consider the connectivity index (1)chi(G) of a chemical graph G. We use some graph theoretic constructions to find bounds for (1)chi X(G) which depend only...

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Detalhes bibliográficos
Autores: Araujo, O, De la Pena, JA
Tipo de documento: artigo
Estado:Versão publicada
Data de publicação:1998
País:México
Recursos:Universidad Nacional Autónoma de México
Repositório:Sistema de Información de la Facultad de Ciencias, UNAM
OAI Identifier:oai:repositorio.fciencias.unam.mx:11154/2754
Acesso em linha:http://hdl.handle.net/11154/2754
Access Level:Acceso aberto
Palavra-chave:Chemistry, Multidisciplinary
Computer Science, Information Systems
Computer Science, Interdisciplinary Applications
Descrição
Resumo:Let G be a simple graph. We say that G is a chemical graph if G is connected and the degree d(i) less than or equal to 4 for every vertex i. We consider the connectivity index (1)chi(G) of a chemical graph G. We use some graph theoretic constructions to find bounds for (1)chi X(G) which depend only on the number of vertices, the ramification index, and the cyclomatic number of the graph G. The results are related to the problem of-graph reconstruction from a collection of graph invariants.