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Original scientific paper

Randić Index of Benzenoid Systems and Phenylenes

Juan Rada ; Departamento de Matematica, Facultad de Ciencias, Universidad de Los Andes, Merida 5101, Venezuela
Oswaldo Araujo ; Departamento de Matematica, Facultad de Ciencias, Universidad de Los Andes, Merida 5101, Venezuela
Ivan Gutman ; Departamento de Matematica, Facultad de Ciencias, Universidad de Los Andes, Merida 5101, Venezuela


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Abstract

A new parameter, related to and easily determined from the structure of a benzenoid system and that of a phenylene - the number of inlets (r) - is introduced. The connectivity (Randić) index of both benzenoid systems and phenylenes is then shown to depend solely on the number of vertices and on r. A simple relation is established between the connectivity index of a phenylene and of the corresponding hexagonal squeeze. Analogous relations are reported for the edge-connectivity indices.

Keywords

connectivity index; benzenoid systems; phenylenes

Hrčak ID:

131806

URI

https://hrcak.srce.hr/131806

Publication date:

2.4.2001.

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