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

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

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 determin...

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Veröffentlicht in:Complexity (New York, N.Y.) N.Y.), 2021, Vol.2021 (1)
Hauptverfasser: Chen, Shu-Bo, Asghar, Syed Sheraz, Binyamin, Muhammad Ahsan, Iqbal, Zahid, Mahmood, Tayyeb, Aslam, Adnan
Format: Artikel
Sprache:eng
Schlagworte:
Apexes
Extremum values
Graphs
Trees
Trees (mathematics)
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Zusammenfassung: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.
ISSN:1076-2787
1099-0526
DOI:10.1155/2021/6491886