Conjugated tricyclic graphs with maximum variable sum exdeg index

The variable sum exdeg index, initially introduced by Vukicevic (2011) [20] for predicting the octanol water partition co-efficient of certain chemical compounds, is an invariant for a graph G and defined as [Formula: see text] , where [Formula: see text] is the degree of vertex [Formula: see text]...

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Detalles Bibliográficos
Autores principales: Rizwan, Muhammad, Bhatti, Akhlaq Ahmad, Javaid, Muhammad, Shang, Yilun
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Elsevier 2023
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10256832/
https://www.ncbi.nlm.nih.gov/pubmed/37305503
http://dx.doi.org/10.1016/j.heliyon.2023.e15706
Descripción
Sumario:The variable sum exdeg index, initially introduced by Vukicevic (2011) [20] for predicting the octanol water partition co-efficient of certain chemical compounds, is an invariant for a graph G and defined as [Formula: see text] , where [Formula: see text] is the degree of vertex [Formula: see text] , a is a positive real number different from 1. In this paper, we defined sub-collections of tricyclic graphs say [Formula: see text] and [Formula: see text]. The graph with maximum variable sum exdeg index is characterized from each collection given above with perfect matching. Consequently, through a comparison among these extremal graphs, we indicate the graph which contains maximum [Formula: see text]-value from [Formula: see text].

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