Benzenoid systems with extremal vertex-degree-based topological indices
In the current chemical literature, a large number of vertex–degree–based topological indices T I are considered, defined as the sum over all edges of the molecular graph of some function Ψ(x, y), where x and y are the degrees of the end-vertices of the respective edge. In order to find the minimal...
- Autores:
-
Rada Rincón, Juan Pablo
Cruz Rodes, Roberto
Gutman, Ivan
- Tipo de recurso:
- Article of investigation
- Fecha de publicación:
- 2014
- Institución:
- Universidad de Antioquia
- Repositorio:
- Repositorio UdeA
- Idioma:
- eng
- OAI Identifier:
- oai:bibliotecadigital.udea.edu.co:10495/45978
- Acceso en línea:
- https://hdl.handle.net/10495/45978
- Palabra clave:
- Vertex operator algebras
Índices topológicos
Topological indices
http://id.loc.gov/authorities/subjects/sh88005699
- Rights
- openAccess
- License
- http://creativecommons.org/licenses/by-nc-sa/4.0/
| Summary: | In the current chemical literature, a large number of vertex–degree–based topological indices T I are considered, defined as the sum over all edges of the molecular graph of some function Ψ(x, y), where x and y are the degrees of the end-vertices of the respective edge. In order to find the minimal value of T I over benzenoid systems with h hexagons, we characterize convex benzenoid systems W such that ni(W) = ni(Sh), where ni is the number of internal vertices and Sh is the spiral benzenoid system. If such W does exist, then W has minimal T I-value. Otherwise, the spiral Sh has minimal T I-value. |
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