A note on chemical trees with minimum Wiener polarity index

Akbar Ali, Zhibin Du and Muhammad Ali

Applied Mathematics and Computation, 2018, vol. 335, issue C, 231-236

Abstract: The Wiener polarity index (usually denoted by Wp) of a graph G is defined as the number of unordered pairs of the vertices of G which are at distance 3. Denote by CTn the family of all n-vertex chemical trees. In a recent paper, Ashrafi and Ghalavand [1] determined the first three minimum Wp values of n-vertex chemical trees for n ≥ 7 and characterized the chemical trees attaining the first two minimum Wp values among all the members of CTn for n ≥ 4. In this note, the chemical trees with the third minimum Wp value are characterized from the graph family CTn for n ≥ 7, and the chemical trees from the family CTn,n ≥ 4, with the first two minimum Wp values are also obtained in an alternative but shorter way.

Keywords: Chemical graph theory; Topological index; Wiener polarity index; Chemical tree; Extremal value (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:335:y:2018:i:c:p:231-236

DOI: 10.1016/j.amc.2018.04.051

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