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Revista de Matemática Teoría y Aplicaciones

versión impresa ISSN 1409-2433

Rev. Mat vol.23 no.1 San José ene./jun. 2016

 

Artículos

Ordering catacondensed hexagonal systems with respect to VDB topological indices

Ordenación de los sistemas hexagonales catacondensados con respecto a los índices topológicos VDB

Juan Rada1 

1Instituto de Matemáticas, Universidad de Antioquia, Medellín, Colombia. E-Mail: pablo.rada@udea.edu.co

Abstract

In this paper we give a complete description of the ordering relations in the set of catacondensed hexagonal systems, with respect to a vertexdegree-based topological index. As a consequence, extremal values of vertex-degree-based topological indices in special subsets of the set of catacondensed hexagonal systems are computed.

Keywords: VDB topological indices; catacondensed hexagonal systems; ordering; extremal values

Resumen

En este artículo presentamos una descripción completa de la relación de orden en el conjunto de sistemas hexagonales catacondensados, con respecto a un índice topológico basado en los grados de los vértices. Como consecuencia, se determinan los valores extremos de un índice topológico basados en los grados de los vértices en subconjuntos especiales del conjunto de sistemas hexagonales catacondensados.

Palabras clave: índices topológicos VDB; sistemas hexagonales catacondensados; orden; valores extremos

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Received: July 24, 2014; Revised: October 14, 2015; Accepted: October 19, 2015

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