Computing Sanskruti Index of Dendrimer Nanostars

Gao, Y S; Sardar, Muhammad Shoaib; Zafar, Sohail; Farahani, Mohammad Reza

doi:10.12732/ijpam.v115i2.16

Cited by 5 publications

(3 citation statements)

References 4 publications

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“…The following structureproperty relationship model was developed for the 𝑆-index [9]. 𝑒𝑛𝑡𝑟𝑜𝑝𝑦 = 1.7857 𝑆 ± 81.4286I presented explicit formulas for the Sanskruti index of an infinite group of dendrimer nanostars [10]. And, they computed the Sanskruti index for the Circumcoronene series of Benzenoid [11].…”

Section: 𝑣 ∈ 𝑁 𝑢mentioning

confidence: 99%

Sanskruti Index of some Chemical Trees and Unicyclic Graphs

Al-Janabi

Bacsó

2022

J. Phys.: Conf. Ser.

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In chemical graph theory, topological indices are used to estimate the bio-activity of chemical compounds. The molecular graph models molecular compounds. A molecular graph represents the structural formula of a chemical compound relative to the graph. Its vertices represent the atoms of the compound, and its edges represent the chemical bonds. In 2017, Hosamani introduced the Sanskruti index S(G) and defined it as S(G) = Σuv∈E(G) ((δu ⋅ δv)/(δu + δv − 2))3, where δu is the sum of the degrees of all neighbors of the vertex u in G. The Sanskruti index displays a good connection with an entropy of octane isomers. In this paper, the Sanskruti index S(G) is computed for some chemical trees and unicyclic graphs.

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Section: 𝑣 ∈ 𝑁 𝑢mentioning

confidence: 99%

Sanskruti Index of some Chemical Trees and Unicyclic Graphs

Al-Janabi

Bacsó

2022

J. Phys.: Conf. Ser.

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“…Numerous efforts have been made to investigate the topological indices for various nanotubes and nanosheets in the literature. 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 .…”

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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“…The Sanskruti index S(G) of a graph G is defined in [25][26][27][28] [4][5][6][7][8]10 and the general representation of this nano structure is shown in Fig. 1 and Fig.…”

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confidence: 99%

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2017

IJPSR

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Computing Sanskruti Index of Dendrimer Nanostars

Cited by 5 publications

References 4 publications

Sanskruti Index of some Chemical Trees and Unicyclic Graphs

Sanskruti Index of some Chemical Trees and Unicyclic Graphs

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

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