The Cartesian Product and Join Graphs on Edge-Version Atom-Bond Connectivity and Geometric Arithmetic Indices

The Cartesian product and join are two classical operations in graphs. Let [Formula: see text] be the degree of a vertex [Formula: see text] in line graph [Formula: see text] of a graph [Formula: see text]. The edge versions of atom-bond connectivity ([Formula: see text]) and geometric arithmetic ([...

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Detalles Bibliográficos
Autores principales: Zhang, Xiujun, Jiang, Huiqin, Liu, Jia-Bao, Shao, Zehui
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2018
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6100620/
https://www.ncbi.nlm.nih.gov/pubmed/30012953
http://dx.doi.org/10.3390/molecules23071731
Descripción
Sumario:The Cartesian product and join are two classical operations in graphs. Let [Formula: see text] be the degree of a vertex [Formula: see text] in line graph [Formula: see text] of a graph [Formula: see text]. The edge versions of atom-bond connectivity ([Formula: see text]) and geometric arithmetic ([Formula: see text]) indices of G are defined as [Formula: see text] and [Formula: see text] , respectively. In this paper, [Formula: see text] and [Formula: see text] indices for certain Cartesian product graphs (such as [Formula: see text] , [Formula: see text] and [Formula: see text]) are obtained. In addition, [Formula: see text] and [Formula: see text] indices of certain join graphs (such as [Formula: see text] , [Formula: see text] , [Formula: see text] and [Formula: see text]) are deduced. Our results enrich and revise some known results.

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