The Expected Values of the First Zagreb and Randić Indices in Random Polyphenyl Chains

Jahanbani, Akbar

doi:10.1080/10406638.2020.1809472

Cited by 16 publications

(11 citation statements)

References 12 publications

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“…Several papers are concentrated about random arrangement of graphs. For more details, see [9][10][11][12][13][14][15]. The comparison and inequalities among some indices for molecular graphs have been derived in [16,17].…”

Section: Methodsmentioning

confidence: 99%

Expected Values of Some Molecular Descriptors in Random Cyclooctane Chains

Raza

Imran

2021

Symmetry

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The modified second Zagreb index, symmetric difference index, inverse symmetric index, and augmented Zagreb index are among the molecular descriptors which have good correlations with some physicochemical properties (such as formation heat, total surface area, etc.) of chemical compounds. By a random cyclooctane chain, we mean a molecular graph of a saturated hydrocarbon containing at least two rings such that all rings are cyclooctane, every ring is joint with at most two other rings through a single bond, and exactly two rings are joint with one other ring. In this article, our main purpose is to determine the expected values of the aforementioned molecular descriptors of random cyclooctane chains explicitly. We also make comparisons in the form of explicit formulae and numerical tables consisting of the expected values of the considered descriptors of random cyclooctane chains. Moreover, we outline the graphical profiles of these comparisons among the mentioned descriptors.

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Section: Methodsmentioning

confidence: 99%

Expected Values of Some Molecular Descriptors in Random Cyclooctane Chains

Raza

Imran

2021

Symmetry

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“…Random molecular graphs are of great importance for theoretical chemistry. There are many results about the extremal values of topological indices of random molecular graphs in recent years [18][19][20][21][22]. In this section, we study the expected values of the Sombor indices in random hexagonal chains and phenylene chains.…”

Section: The Expected Values Of Sombor Indices In Random Hexagonal Chains and Phenylene Chainsmentioning

confidence: 99%

The expected values of Sombor indices in random hexagonal chains, phenylene chains and Sombor indices of some chemical graphs

Fang

You

Liu

2021

Int J of Quantum Chemistry

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Hexagonal chains are a special class of catacondensed benzenoid system and phenylene chains are a class of polycyclic aromatic compounds. Recently, A family of Sombor indices was introduced by Gutman in the chemical graph theory. It had been examined that these indices may be successfully applied on modeling thermodynamic properties of compounds. In this paper, we study the expected values of the Sombor indices in random hexagonal chains, phenylene chains, and consider the Sombor indices of some chemical graphs such as graphene, coronoid systems and carbon nanocones.

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“…Random molecular graphs are of great importance for theoretical chemistry. There are many results about the extreme values of topological indices of random molecular graphs in recent years ( [12,15,19,20,25,26]). In this section, we study the expected values of the Sombor indices in random hexagonal chains and phenylene chains.…”

Section: The Expected Values Of Sombor Indices In Random Hexagonal Ch...mentioning

confidence: 99%

The expected values of Sombor indices in random hexagonal chains, phenylene chains and Sombor indices of some chemical graphs

Fang,

You,

Liu

2021

Preprint

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The Expected Values of the First Zagreb and Randić Indices in Random Polyphenyl Chains

Cited by 16 publications

References 12 publications

Expected Values of Some Molecular Descriptors in Random Cyclooctane Chains

Expected Values of Some Molecular Descriptors in Random Cyclooctane Chains

The expected values of Sombor indices in random hexagonal chains, phenylene chains and Sombor indices of some chemical graphs

The expected values of Sombor indices in random hexagonal chains, phenylene chains and Sombor indices of some chemical graphs

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