The Minimal Molecular Tree for the Exponential Randić Index
Year: 2024
Type: article
Abstract: Topological indices are numerical parameters that provide a way to quantify the structural features of molecules using their graph representations. In chemical graph theory, these indices have been effectively employed to predict various physico-chemical properties of molecules. Among these, the Randić index stands out as a classical and widely used molecular descriptor in chemistry and pharmacology. The Randić index R(G) for a given graph G is defined as R(G)=∑vivj∈E(G)1d(vi)d(vj), where d(vi) represents the degree of vertex vi and E(G) is the set of edges in the graph G. Given the Randić index’s strong discrimination ability in describing molecular structures, a variant known as the exponential Randić index was recently introduced. The exponential Randić index ER(G) for a graph G is defined as ER(G)=∑vivj∈E(G)e1d(vi)d(vj). This paper further explores and fully characterizes the minimal molecular trees in relation to the exponential Randić index. Moreover, the chemical relevance of the exponential Randić index is also investigated.
Source: Mathematics
DOI: 10.3390/math12223601
Authors: Jayanta Bera, Kinkar Chandra Das
Institution: Sungkyunkwan University
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $2,955
OpenAlex ID: W4404484320