Multiplicative topological properties of graphs derived from honeycomb structure

Usman Babar; Haidar Ali; Shahid Hussain Arshad; Umber Sheikh; Usman Babar; Haidar Ali; Shahid Hussain Arshad; Umber Sheikh

doi:10.3934/math.2020107

AIMS Mathematics

2020, Volume 5, Issue 2: 1562-1587. doi: 10.3934/math.2020107

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Research article

Multiplicative topological properties of graphs derived from honeycomb structure

1.
Department of Applied Sciences, National Textile University, Faisalabad, Pakistan
2.
Department of Mathematics, Government College University, Faisalabad, Pakistan

Received: 29 October 2019 Accepted: 16 January 2020 Published: 04 February 2020
MSC : 05C12, 05C90

Topological indices are numerical parameters of a molecular graph, which characterize its topology and are usually graph invariant. In quantitative structure-activity relationship/quantitative structure-property relationship study, physico-chemical properties and topological indices such as Randić, atom-bond connectivity (ABC), and geometric-arithmetic (GA) index are used to predict the bioactivity of chemical compounds. Graph theory has found a considerable use in this area of research. In this paper, we are taking Dominating David Derived networks, produced by honeycomb structure of dimension t and obtain analytical closed results of Multiplicative topological indices and acquire exact results of degree based indices.
Citation: Usman Babar, Haidar Ali, Shahid Hussain Arshad, Umber Sheikh. Multiplicative topological properties of graphs derived from honeycomb structure[J]. AIMS Mathematics, 2020, 5(2): 1562-1587. doi: 10.3934/math.2020107

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Abstract

Topological indices are numerical parameters of a molecular graph, which characterize its topology and are usually graph invariant. In quantitative structure-activity relationship/quantitative structure-property relationship study, physico-chemical properties and topological indices such as Randić, atom-bond connectivity (ABC), and geometric-arithmetic (GA) index are used to predict the bioactivity of chemical compounds. Graph theory has found a considerable use in this area of research. In this paper, we are taking Dominating David Derived networks, produced by honeycomb structure of dimension t and obtain analytical closed results of Multiplicative topological indices and acquire exact results of degree based indices.

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