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- W2931431526 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." @default.
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- W2931431526 date "2019-04-01" @default.
- W2931431526 modified "2023-09-26" @default.
- W2931431526 title "The Bounds of Vertex Padmakar–Ivan Index on k-Trees" @default.
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- W2931431526 doi "https://doi.org/10.3390/math7040324" @default.
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