On expected values of some degree based topological descriptors of random Phenylene chains

Hui, Zhi‐hao; Yousaf, Shamaila; Aslam, Adnan; Binyamin, Muhammad Ahsan; Kanwal, Salma

doi:10.1080/00268976.2023.2225648

Cited by 4 publications

(4 citation statements)

References 21 publications

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“…have computed some expected values of sombor indices of hexagonal chains, phenylene graphs 17 . For more details, see 8 – 11 , 18 – 30 .…”

Section: Random Cyclooctane Chainmentioning

confidence: 99%

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Computation of expected values of some connectivity based topological descriptors of random cyclooctane chains

Yousaf,

Iqbal,

Tariq

et al. 2024

Sci Rep

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Cyclooctane is a cycloalkane consisting of carbon and hydrogen atoms arranged in a closed ring structure. Cyclooctane chains can be found in various organic compounds and are significant in the field of organic chemistry due to their diverse reactivity and properties. The atom-bond connectivity index ($$\mathcal{A}\mathcal{B}\mathcal{C}$$ A B C ), the geometric-arithmetic index ($$\mathcal{G}\mathcal{A}$$ G A ), the arithmetic–geometric index ($$\mathcal{A}\mathcal{G}$$ A G ) and the forgotten index ($$\mathcal{F}$$ F ) are four well-studied molecular descriptors that have found applications in QSPR and QSAR studies. These topological descriptors have shown significant correlations with different physiochemical properties of octane isomers. In this work, the expected values of four degree based topological descriptors for random cyclooctane chains are calculated. An analytical comparison is given between the expected values of $$\mathcal{A}\mathcal{B}\mathcal{C}$$ A B C , $$\mathcal{G}\mathcal{A}$$ G A , $$\mathcal{A}\mathcal{G}$$ A G , and $$\mathcal{F}$$ F indices of random cyclooctane chains.

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“…have computed some expected values of sombor indices of hexagonal chains, phenylene graphs 17 . For more details, see 8 – 11 , 18 – 30 .…”

Section: Random Cyclooctane Chainmentioning

confidence: 99%

“…For more details on the computations of topological indices for different chemical structures, see 8 – 11 .…”

Section: Introductionmentioning

confidence: 99%

Computation of expected values of some connectivity based topological descriptors of random cyclooctane chains

Yousaf,

Iqbal,

Tariq

et al. 2024

Sci Rep

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“…Additionally, Raza et al (Raza et al, 2023b), computed the expected value of the first Zagreb connection index in random cyclooctane chains, random polyphenyl chains, and random chain networks. Explicit formulas for the expected values of certain degree-based topological descriptors of random phenylene chains were provided by Hui et al (Hui et al, 2023). Zhang et al (Zhang et al, 2018), discussed the topological indices of generalized bridge molecular graphs, while in separate works (Zhang et al, 2022;Zhang et al, 2023), they computed the topological indices of some supramolecular chains using graph invariants.…”

Section: R G ( )mentioning

confidence: 99%

Analyzing the expected values of neighborhood degree-based topological indices in random cyclooctane chains

Jing,

Yousaf,

Farhad

et al. 2024

Front. Chem.

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Cyclooctane is classified as a cycloalkane, characterized by the chemical formula C8H16. It consists of a closed ring structure composed of eight carbon atoms and sixteen hydrogen atoms. A cyclooctane chain typically refers to a series of cyclooctane molecules linked together. Cyclooctane and its derivatives find various applications in chemistry, materials science, and industry. Topological indices are numerical values associated with the molecular graph of a chemical compound, predicting certain physical or chemical properties. In this study, we calculated the expected values of degree-based and neighborhood degree-based topological descriptors for random cyclooctane chains. A comparison of these topological indices’ expected values is presented at the end.

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“…For results related to neighborhood sum-degree-based indices, refer to [17,[20][21][22][23][24][25].…”

Section: Introductionmentioning

confidence: 99%

Expected values of sum-based topological indices of random cyclodecane chains

Tang,

Yousaf,

Javaid Ashraf

et al. 2024

Phys. Scr.

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Cyclodecanes, belonging to the class of aliphatic cycloalkanes, comprise non-aromatic carbon-atom rings. Within the 10-membered ring, cyclodecanes exhibit various isomers, characterized by different spatial arrangements of carbon atoms. Serving as model compounds in organic studies, cyclodecanes offer insights into the properties and reactivity of cyclic hydrocarbons. The chemistry of cyclodecane serves as a valuable foundation for understanding the behavior of more complex hydrocarbons. In this paper, we explore the potential probabilities of random cyclodecane chains $\mathbb{D}_t^{\rho}$ of length $t\geq3$. We derive exact expressions for the expected values of the modified second Zagreb index, inverse index, and second NDe index. A theoretical comparative analysis of these descriptors is provided, accompanied by graphical and numerical representations of the obtained results.

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On expected values of some degree based topological descriptors of random Phenylene chains

Cited by 4 publications

References 21 publications

Computation of expected values of some connectivity based topological descriptors of random cyclooctane chains

Computation of expected values of some connectivity based topological descriptors of random cyclooctane chains

Analyzing the expected values of neighborhood degree-based topological indices in random cyclooctane chains

Expected values of sum-based topological indices of random cyclodecane chains

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