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 and Muhammad Javaid

Complexity, 2021, vol. 2021, 1-5

Abstract: 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.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:complx:6491886

DOI: 10.1155/2021/6491886

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