Some new version of resistance distance-based topological indices of complete bipartite networks

Zaman, Shahid; Raza, Ahmed; Ullah, Asad

doi:10.1140/epjp/s13360-024-05127-w

Cited by 10 publications

(2 citation statements)

References 34 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 . Supersaturation of a biopharmaceutical classification system 36 – 38 .…”

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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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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“…Recently, some novel graph invariant are introduced by Zaman and Ullah et al in [60,61]. By merging the concepts of eccentricity and Resistance-Harary index, they proposed reciprocal eccentric resistance distance, given as…”

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confidence: 99%

Resistance distance and sharp bounds of two-mode electrical networks

Ullah,

Salman,

Zaman

2024

Phys. Scr.

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Electrical networks are ubiquitous in our daily lives, ranging from small integrated circuits to large-scale power systems. These networks can be easily represented as graphs, where edges represent connections and vertices represent electric nodes. The concept of resistance distance originates from electrical networks, with this term used because of its physical interpretation, where every edge in a graph G is assumed to have a unit resistor. The applications of resistance distance extend to various fields such as electrical engineering, physics, and computer science. It is particularly useful in investigating the flow of electrical current in a network and determining the shortest path between two vertices. In this work, we have investigated seven different resistance distance-based indices of bipartite networks and derived general formulae for them; the sharp bounds with respect to these resistance distance indices are also identified. Additionally, we introduced a novel resistance distance topological index, the Multiplicative Eccentric Resistance Harary Index, and derived general formula for it. The sharp bounds with respect to this newly introduced index are also identified for bipartite networks.

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Computational insights into flavonoid molecular structures and their QSPR modeling via degree based molecular descriptors

Hakeem,

Ullah,

Zaman

et al. 2024

Chem. Pap.

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Some new version of resistance distance-based topological indices of complete bipartite networks

Cited by 10 publications

References 34 publications

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

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

Resistance distance and sharp bounds of two-mode electrical networks

Computational insights into flavonoid molecular structures and their QSPR modeling via degree based molecular descriptors

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