Abstract
The variable sum exdeg index, initially introduced by Vukicevic (2011) [20] for predicting the octanol water partition co-efficient of certain chemical compounds, is an invariant for a graph G and defined as SEIa(G)=∑v∈V(G)(dvadv), where dv is the degree of vertex v∈V(G), a is a positive real number different from 1. In this paper, we defined sub-collections of tricyclic graphs say T2m3,T2m4,T2m6 and T2m7. The graph with maximum variable sum exdeg index is characterized from each collection given above with perfect matching. Consequently, through a comparison among these extremal graphs, we indicate the graph which contains maximum SEIa-value from T2m.
Original language | English |
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Article number | e15706 |
Pages (from-to) | 1-11 |
Number of pages | 11 |
Journal | Heliyon |
Volume | 9 |
Issue number | 5 |
Early online date | 27 Apr 2023 |
DOIs | |
Publication status | Published - 1 May 2023 |
Keywords
- Conjugated tricyclic graph
- Molecular graph
- Variable sum exdeg index