Extremal Trees for the Exponential of Forgotten Topological Index

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Jahanbani A., Cancan M., Motamedi R.

JOURNAL OF MATHEMATICS, vol.2022, 2022 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 2022
  • Publication Date: 2022
  • Doi Number: 10.1155/2022/7455701
  • Journal Name: JOURNAL OF MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Van Yüzüncü Yıl University Affiliated: Yes

Abstract

Let F be the forgotten topological index of a graph G. The exponential of the forgotten topological index is defined as e(F)(G) = sigma((x,y)is an element of S)t(x,y)(G)e((x2+y2)), where t(x,y)(G) is the number of edges joining vertices of degree x and y. Let T-n be the set of trees with n vertices; then, in this paper, we will show that the path P-n has the minimum value for e(F) over T-n.