The Bounds of Vertex Padmakar–Ivan Index on k-Trees

Author:

Wang ShaohuiORCID,Shao ZehuiORCID,Liu Jia-BaoORCID,Wei Bing

Abstract

The Padmakar–Ivan ( P I ) index is a distance-based topological index and a molecular structure descriptor, which is the sum of the number of vertices over all edges u v of a graph such that these vertices are not equidistant from u and v. In this paper, we explore the results of P I -indices from trees to recursively clustered trees, the k-trees. Exact sharp upper bounds of PI indices on k-trees are obtained by the recursive relationships, and the corresponding extremal graphs are given. In addition, we determine the P I -values on some classes of k-trees and compare them, and our results extend and enrich some known conclusions.

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Reference33 articles.

1. Structural Determination of Paraffin Boiling Points

2. A formula for the Wiener number of trees and its extension to graphs containing cycles;Gutman;Graph Theory Notes,1994

3. On a Novel Structural Descriptor PI;Khadikar;Nat. Acad. Sci. Lett.,2000

4. Vertex and edge PI indices of Cartesian product graphs

5. Some properties of the second Zagreb index;Das;MATCH Commun. Math. Comput. Chem.,2004

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