Analytical exploration of cangul stress matrix properties in connected graphs, suggesting insights into chemical energies.
In this article, we introduce the Cangul stress matrix \( CSM(G) \) for a connected graph \( G \), which is associated with the Cangul stress index. We investigate the properties of this matrix, establish bounds on its eigenvalues, and define the Cangul stress energy \( ECSM(G) \) as the sum of the absolute values of the eigenvalues. Furthermore, we examine its potential relevance in chemistry by comparing \( ECSM(G) \) with the \( π \)-electron energy of benzene derivatives.
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Somashekar et al. (2025) studied this question.
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