Topological numbers of fuzzy soft graphs and their application

Azeem, Muhammad; Anwar, Shabana; Jamil, Muhammad Kamran; Saeed, Muhammad; Deveci, Muhammet

doi:10.1016/j.ins.2024.120468

Cited by 10 publications

(3 citation statements)

References 41 publications

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“…We conclude with the remarks that the monophonic rubbling number is the most advanced and useful technique in reducing the minimum number of pebbles compared with the classical techniques. The future direction of the article will be to focus on network-related graphs like probabilistic neural network, cellular neural network, tickysym spiking neural network mentioned in [20] and hexagonal cellular networks mentioned in [21] , fuzzy soft graphs mentioned in [22] , and convolutional neural networks mentioned in [23] .…”

Section: Discussionmentioning

confidence: 99%

Monophonic rubbling number of some standard graphs

Kavitha,

Jagatheswari

2024

Heliyon

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Section: Discussionmentioning

confidence: 99%

Monophonic rubbling number of some standard graphs

Kavitha,

Jagatheswari

2024

Heliyon

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“…3 The second type of modified Zagreb index developed in the research work of 21 and modified polynomial derived in 18 as: Definition 1. 4 In 1988, both researchers of 22,23 , put forward the idea of the general Randić index separately. Given below are the formulation of general Randić, and its inverse version.…”

Section: Preliminariesmentioning

confidence: 99%

Applications of magnesium iodide structure via modified-polynomials

Ghazwani,

Jamil,

Ahmad

et al. 2024

Sci Rep

Self Cite

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A relatively recent approach in molecular graph theory for analyzing chemical networks and structures is called a modified polynomial. It emphasizes the characteristics of molecules through the use of a polynomial-based procedure and presents numerical descriptors in algebraic form. The Quantitative Structure-Property Relationship study makes use of Modified Polynomials (M-Polynomials) as a mathematical tool. M-Polynomials used to create connections between a material’s various properties and its structural characteristics. In this study, we calculated several modified polynomials and gave a polynomial description of the magnesium iodide structure. Particularly, we computed first, second and modified Zagreb indices based M-polynomials. Randić index, and inverse Randić indices based M-polynomials are also computed in this work.

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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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Topological numbers of fuzzy soft graphs and their application

Cited by 10 publications

References 41 publications

Monophonic rubbling number of some standard graphs

Monophonic rubbling number of some standard graphs

Applications of magnesium iodide structure via modified-polynomials

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

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