Complexity (Jan 2021)

On the First Three Extremum Values of Variable Sum Exdeg Index of Trees

  • Shu-Bo Chen,
  • Syed Sheraz Asghar,
  • Muhammad Ahsan Binyamin,
  • Zahid Iqbal,
  • Tayyeb Mahmood,
  • Adnan Aslam

DOI
https://doi.org/10.1155/2021/6491886
Journal volume & issue
Vol. 2021

Abstract

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For a graph G, its variable sum exdeg index is defined as SEIaG=∑xy∈EGadx+ady, where a is a real number other than 1 and dx is the degree of a vertex x. In this paper, we characterize all trees on n vertices with first three maximum and first three minimum values of the SEIa index. Also, we determine all the trees of order n with given diameter d and having first three largest values of the SEIa index.