On Cangul stress energy of graphs

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 \( E_{CSM}(G) \) as the sum of the absolute values of the eigenvalues. Furthermore, we examine its potential relevance in chemistry by comparing \( E_{CSM}(G) \) with the \( \pi \)-electron energy of benzene derivatives.

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Publication Details

Journal
Boletim da Sociedade Paranaense de Matemática
Published
2025-05-29
DOI
https://doi.org/10.5269/bspm.76033
Citations
1
Primary Topic
Graph theory and applications
Type
article
Field-Weighted Citation Impact
4.09
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On Cangul stress energy of graphs

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Graph theory and applications
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article

On Cangul stress energy of graphs

P. Somashekar, P. Siva Kota Reddy, M. Pavithra, M. Kirankumar, Howida Abdel AlFran
article en
1 citations

Abstract

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 \( E_{CSM}(G) \) as the sum of the absolute values of the eigenvalues. Furthermore, we examine its potential relevance in chemistry by comparing \( E_{CSM}(G) \) with the \( \pi \)-electron energy of benzene derivatives.

Boletim da Sociedade Paranaense de MatemáticaVol. 43
Umm al-Qura University (SA), Shreemati Nathibai Damodar Thackersey Women's University (IN), Karnataka State Open University (IN), JSS Science and Technology University (IN), Visvesvaraya Technological University (IN)
Openalex Percentile: Top 7%
Graph theory and applications
4.09
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