On topological properties of the line graphs of subdivision graphs of certain nanostructures

Nadeem, Muhammad Faisal; Zafar, Sohail; Zahid, Zohaib

doi:10.1016/j.amc.2015.10.010

Cited by 59 publications

(42 citation statements)

References 12 publications

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“…e Wiener index is the first and most studied topological index. e degree-based topological indices for line graph of some subdivided graphs were studied in [2]. In [3], the bounds of topological indices for some graph operations are discussed.…”

Section: Introductionmentioning

confidence: 99%

Topological Indices of Certain Transformed Chemical Structures

Zuo

Liu

Iqbal

et al. 2020

Journal of Chemistry

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Topological indices like generalized Randić index, augmented Zagreb index, geometric arithmetic index, harmonic index, product connectivity index, general sum-connectivity index, and atom-bond connectivity index are employed to calculate the bioactivity of chemicals. In this paper, we define these indices for the line graph of k-subdivided linear [n] Tetracene, fullerene networks, tetracenic nanotori, and carbon nanotube networks.

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Section: Introductionmentioning

confidence: 99%

Topological Indices of Certain Transformed Chemical Structures

Zuo

Liu

Iqbal

et al. 2020

Journal of Chemistry

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“…Recently Nadeem et. al [15] obtained expressions for certain topological indices for the line graph of subdivision graphs of 2D-lattice, nanotube and nanotorus of T UC 4 C 8 [p, q], where p and q denote the number of squares in a row and number of rows of squares, respectively in 2D-lattice, nanotube and nanotorus. 2D-lattice, nanotube and nanotorus of T UC 4 C 8 [p, q] are depicted in Figure 1.…”

Section: Introductionmentioning

confidence: 99%

On the F-index and F-coindex of the line graphs of the subdivision graphs

Amin¹,

Nayeem²

2018

Malaya J. Mat.

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“…In 2015, Su and Xu figured the general aggregate availability records and co-lists of the line diagrams of the tadpole and haggle charts with subdivision in [27]. Nadeem et al [28,29] registered ABC 4 and GA 5 records of the line charts of the tadpole, wheel, stepping stool, 2D−lattice, nanotube, and nanotorus of…”

Section: Topological Indices For Line Graph Of Subdivided Graph L(s(g))mentioning

confidence: 99%

Computing Topological Indices and Polynomials for Line Graphs

et al. 2018

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Abstract:A topological index is a number related to the atomic index that allows quantitative structure-action/property/toxicity connections. All the more vital topological indices correspond to certain physico-concoction properties like breaking point, solidness, strain vitality, and so forth, of synthetic mixes. The idea of the hyper Zagreb index, multiple Zagreb indices and Zagreb polynomials was set up in the substance diagram hypothesis in light of vertex degrees. These indices are valuable in the investigation of calming exercises of certain compound systems. In this paper, we computed the first and second Zagreb index, the hyper Zagreb index, multiple Zagreb indices and Zagreb polynomials of the line graph of wheel and ladder graphs by utilizing the idea of subdivision.

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On topological properties of the line graphs of subdivision graphs of certain nanostructures

Cited by 59 publications

References 12 publications

Topological Indices of Certain Transformed Chemical Structures

Topological Indices of Certain Transformed Chemical Structures

On the F-index and F-coindex of the line graphs of the subdivision graphs

Computing Topological Indices and Polynomials for Line Graphs

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