Computing Sanskruti Index of v-Phenylenic Nanotubes and Nanotori

Jiang, Huiqin; Sardar, Muhammad Shoaib; Farahani, Mohammad Reza; Rezaei, Mehdi; Siddiqui, Muhammad Kamran

doi:10.12732/ijpam.v115i4.19

Cited by 8 publications

(5 citation statements)

References 3 publications

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“…Pentaheptagonal nanosheets and TURC 4 C 8 (S) are both explored for their topological invariants [19,20]. Te TI of nanotubes and nanotori of the V-phenylenic type have been studied in [21], and armchair polyhex type nanotubes in [22]. However, despite all of these studies, the nanostructure topology is still not fully understood.…”

Section: Introductionmentioning

confidence: 99%

Mathematical Concepts and Empirical Study of Neighborhood Irregular Topological Indices of Nanostructures TUC4C8 $[p, q]$ and GTUC $[p, q]$

Zaman,

Ullah,

Naseer

et al. 2024

Journal of Mathematics

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A topological index is a structural descriptor of any molecule/nanostructure that characterizes its topology. In the QSAR and QSPR research, topological indices are employed to predict the physical characteristics associated with bioactivities and chemical reactivity within specific networks. 2D nanostructured materials have many exhibit numerous chemical, mechanical, and physical features. These nanomaterials are exceptionally thin, displaying high chemical functionality and anisotropy. For applications necessitating robust surface interactions on a small scale, 2D materials stand out as the optimal choice due to their expansive surface area and status as the thinnest among all discovered materials. This paper characterized the neighborhood irregular topological invariants of nanostructures TUC4C8[p, q] and GTUC[p, q] and derived closed form expressions for them. A comparative analysis is then performed on the basis of these computed indices.

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Section: Introductionmentioning

confidence: 99%

Mathematical Concepts and Empirical Study of Neighborhood Irregular Topological Indices of Nanostructures TUC4C8 $[p, q]$ and GTUC $[p, q]$

Zaman,

Ullah,

Naseer

et al. 2024

Journal of Mathematics

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“…The topological invariants of Pent-Heptagonal nanosheets and TURC 4 C 8 (S) are studied respectively in 44 , 45 . The topological indices of V-phenylenic type nanotori and nanotubes have been discussed in 46 , and armchair polyhex type nanotube in 47 . For detailed insights into the investigations on topological modeling and analysis of micro and nanostructures, one might consult refs 27 , 30 , 32 , 48 – 62 .…”

Section: Introductionmentioning

confidence: 99%

Derivation of mathematical closed form expressions for certain irregular topological indices of 2D nanotubes

Ullah

Zaman²,

Hussain

et al. 2023

Sci Rep

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A numeric quantity that characterizes the whole structure of a network is called a topological index. In the studies of QSAR and QSPR, the topological indices are utilized to predict the physical features related to the bioactivities and chemical reactivity in certain networks. Materials for 2D nanotubes have extraordinary chemical, mechanical, and physical capabilities. They are extremely thin nanomaterials with excellent chemical functionality and anisotropy. Since, 2D materials have the largest surface area and are the thinnest of all known materials, they are ideal for all applications that call for intense surface interactions on a small scale. In this paper, we derived closed formulae for some important neighborhood based irregular topological indices of the 2D nanotubes. Based on the obtained numerical values, a comparative analysis of these computed indices is also performed.

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“…Here, we present the F-index and F-coindex and their topological polynomials of V-Phenylenic Nanotube V P HX[m, n] and V-Phenylenic Nanotorus V P HY [m, n] which are useful for surveying structure of nanotubes and nanotorus. Any unexplained terminology is standard, typically as in [16][17][18][19][20][21].…”

Section: Introductionmentioning

confidence: 99%

The F-index and coindex of V-Phenylenic Nanotubes and Nanotorus and their molecular complement graphs

Alsharafi¹,

Alameri²

2021

Nanosystems: Phys. Chem. Math.

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The forgotten topological index was defined to be used in the analysis of chemical structures which often appear in drug molecular graphs. In this paper, we studied the F-index and F-coindex for certain important physico chemical structures such as V-Phenylenic Nanotube V P HX[m, n] and V-Phenylenic Nanotorus V P HY [m, n] and their molecular complement graph. Moreover, we computed F-polynomial of the V-Phenylenic Nanotubes and Nanotorus. These explicit formulae can correlate the chemical structure of molecular graphs of Nanotubes and Nanotorus to information about their physicochemical structure.

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Computing Sanskruti Index of v-Phenylenic Nanotubes and Nanotori

Cited by 8 publications

References 3 publications

Mathematical Concepts and Empirical Study of Neighborhood Irregular Topological Indices of Nanostructures TUC4C8 $[p, q]$ and GTUC $[p, q]$

Mathematical Concepts and Empirical Study of Neighborhood Irregular Topological Indices of Nanostructures TUC4C8 $[p, q]$ and GTUC $[p, q]$

Derivation of mathematical closed form expressions for certain irregular topological indices of 2D nanotubes

The F-index and coindex of V-Phenylenic Nanotubes and Nanotorus and their molecular complement graphs

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Computing Sanskruti Index of v-Phenylenic Nanotubes and Nanotori

Cited by 8 publications

References 3 publications

Mathematical Concepts and Empirical Study of Neighborhood Irregular Topological Indices of Nanostructures TUC4C8p,q and GTUC p,q

Mathematical Concepts and Empirical Study of Neighborhood Irregular Topological Indices of Nanostructures TUC4C8p,q and GTUC p,q

Derivation of mathematical closed form expressions for certain irregular topological indices of 2D nanotubes

The F-index and coindex of V-Phenylenic Nanotubes and Nanotorus and their molecular complement graphs

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Product

Resources

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Mathematical Concepts and Empirical Study of Neighborhood Irregular Topological Indices of Nanostructures TUC4C8 $[p, q]$ and GTUC $[p, q]$

Mathematical Concepts and Empirical Study of Neighborhood Irregular Topological Indices of Nanostructures TUC4C8 $[p, q]$ and GTUC $[p, q]$