A mathematical approach to optimizing brand school placement via intuitionistic Sombor indices

Anwar, Shabana; Jamil, Muhammad Kamran; Azeem, Muhammad; Senapati, Tapan; Moslem, Sarbast

doi:10.1016/j.aej.2024.04.057

Cited by 4 publications

(1 citation statement)

References 48 publications

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“…In recent years, graph theory provide some efficient tools to study in different fields like in fuzzy 24 , 25 , in decision making 26 – 28 , in chemistry 29 , 30 , in molecular physics 31 – 33 . Particularly molecular insights into anti-Alzheimer’s drugs through predictive modeling using linear regression and QSPR analysis 34 , 35 .…”

Section: Introductionmentioning

confidence: 99%

Study of some graph theoretical parameters for the structures of anticancer drugs

Masmali,

Azeem,

Kamran Jamil

et al. 2024

Sci Rep

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Eigenvalues have great importance in the field of mathematics, and their relevance extends beyond this area to include several other disciplines such as economics, chemistry, and numerous fields. According to our study, eigenvalues are utilized in chemistry to express a chemical compound’s numerous physical properties as well as its energy form. It is important to get a comprehensive understanding of the interrelationship underlying mathematics and chemistry. The anti-bonding phase is correlated with positive eigenvalues, whereas the bonding level is connected with negative eigenvalues. Additionally, the non-bonded level corresponds to eigenvalues of zero. This study focuses on the analysis of various structures of anticancer drugs, specifically examining their characteristic polynomials, eigenvalues of the adjacency matrix, matching number and nullity. Consequently, the selected structures of the aforementioned anticancer drugs exhibit stability since they are composed of closed-shell molecules, characterized by a nullity value of zero.

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