Extremal symmetric division deg index of molecular trees and molecular graphs with fixed number of pendant vertices

Jianwei Du and Xiaoling Sun

Applied Mathematics and Computation, 2022, vol. 434, issue C

Abstract: In 2018, Furtula et al. proved that the symmetric division deg index is a viable and applicable topological index in QSPR/QSAR investigations. In this article, we identify the extremal trees with respect to symmetric division deg index among all molecular trees with fixed number of pendant vertices. In addition, we get a lower bound on symmetric division deg index for all molecular (n,m,p)-graphs (n-order molecular graphs with m≥n edges and p>0 pendant vertices).

Keywords: Symmetric division deg index; Molecular tree; Molecular graph; Pendant vertex (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:434:y:2022:i:c:s0096300322005124

DOI: 10.1016/j.amc.2022.127438

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