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Open AccessArticle

On Valency-Based Molecular Topological Descriptors of Subdivision Vertex-Edge Join of Three Graphs

1
Department of Applied Mathematics and Statistics, Technical University of Cartagena, Hospital de Marina, 30203 Cartagena, Spain
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Department of Mathematical Sciences, United Arab Emirates University, Al Ain P.O. Box 15551, UAE
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Department of Mathematics, COMSATS University Islamabad, Lahore Campus 54000, Pakistan
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Department of Mathematics, School of Natural Sciences (SNS), National University of Sciences and Technology (NUST), Sector H-12, Islamabad 44000, Pakistan
*
Author to whom correspondence should be addressed.
Symmetry 2020, 12(6), 1026; https://doi.org/10.3390/sym12061026
Received: 12 May 2020 / Revised: 1 June 2020 / Accepted: 8 June 2020 / Published: 17 June 2020
(This article belongs to the Special Issue Analytical and Computational Properties of Topological Indices)
In the studies of quantitative structure–activity relationships (QSARs) and quantitative structure–property relationships (QSPRs), graph invariants are used to estimate the biological activities and properties of chemical compounds. In these studies, degree-based topological indices have a significant place among the other descriptors because of the ease of generation and the speed with which these computations can be accomplished. In this paper, we give the results related to the first, second, and third Zagreb indices, forgotten index, hyper Zagreb index, reduced first and second Zagreb indices, multiplicative Zagreb indices, redefined version of Zagreb indices, first reformulated Zagreb index, harmonic index, atom-bond connectivity index, geometric-arithmetic index, and reduced reciprocal Randić index of a new graph operation named as “subdivision vertex-edge join” of three graphs. View Full-Text
Keywords: topological indices; degree; subdivision; vertex-edge join topological indices; degree; subdivision; vertex-edge join
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Guirao, J.L.G.; Imran, M.; Siddiqui, M.K.; Akhter, S. On Valency-Based Molecular Topological Descriptors of Subdivision Vertex-Edge Join of Three Graphs. Symmetry 2020, 12, 1026.

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