Extremal Trees for the Exponential of Forgotten Topological Index

Akbar Jahanbani, Murat Cancan, Ruhollah Motamedi and M. T. Rahim

Journal of Mathematics, 2022, vol. 2022, 1-8

Abstract: Let F be the forgotten topological index of a graph G. The exponential of the forgotten topological index is defined as eFG=∑x,y∈Stx,yGex2+y2, where tx,yG is the number of edges joining vertices of degree x and y. Let Tn be the set of trees with n vertices; then, in this paper, we will show that the path Pn has the minimum value for eF over Tn.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:7455701

DOI: 10.1155/2022/7455701

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