The stress of a graph is the number of geodesics (shortest paths) that pass through each vertex. A topological index of a chemical structure (graph) is a number that correlates the chemical structure with its chemical reactivity or physical properties. In this paper, we introduce a new topological
index for graphs called the second hyper-Gourava stress index, which is defined using the stresses of vertices. Further, we establish several inequalities, prove related results, and compute the second hyper-Gourava stress index for some standard graphs. Similarly, we establish the importance of the second hyper-Gourava stress index in predicting the physicochemical properties of
lower alkanes.
The stress of a graph is the number of geodesics (shortest paths)
that pass through each vertex. A topological index of a chemical structure
(graph) is a number that correlates the chemical structure with its chemical
reactivity or physical properties. In this paper, we introduce a new topological
index for graphs call...
Girija K. P.· Global and Stochastic Analys...· 0 citations
Shimbel (1953) introduced the node centrality index, which measures the stress of a vertex. The stress of a graph is the number of geodesics (shortest paths) that pass through each vertex. A number that connects a chemical structure to physical properties or chemical reactivity is known as a topological index of the ch...
Unknown authors· Boletim da Sociedade Paranae...· 0 citations
Based on the neighborhood stresses of individual vertices, we present in this work a new molecular descriptor termed the square root neighborhood stress sum index $ SNS(G)$. We investigate the $SNS(G)$ values for known graphs. Moreover, we investigate the intercorrelation between the structural properties of coumarins...
Unknown authors· Boletim da Sociedade Paranae...· 0 citations
We present a new topological index for graphs, termed the square root of quartic stress Index, which is based on the stresses associated with the nodes. We have established several inequalities and proven various results related to this index. Additionally, we calculated the square root of quartic stress Index for a se...
Unknown authors· Boletim da Sociedade Paranae...· 0 citations
Topological indices are critical components in mathematical chemistry because they help in the determination of structure information that can be used in predicting physical and chemical attributes of molecules using the principles of QSAR/QSPR. Unlike the traditional indices such as the Randic index or Zagreb index,...
C. Surabhi, Ahmad Asiri, S. Santhakumar et al.· Scientific Reports· 0 citations