Chromatic Polynomials of POPAM and Siloxane Dendrimers

Arif, Nabeel E.; Hasni, Roslan; Khalaf, Abdul Jalil M.

doi:10.1166/jctn.2013.2692

Cited by 6 publications

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“…Their application in chemistry, biology and nano-science are unlimited. Recently, the topological indices of certain families of dendrimers have been investigated in [9][10][11][12][13][14][15].…”

Section: Introduction and Preliminary Resultsmentioning

confidence: 99%

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On Topological Indices of Certain Families of Nanostar Dendrimers

et al. 2016

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Abstract:A topological index of graph G is a numerical parameter related to G which characterizes its molecular topology and is usually graph invariant. In the field of quantitative structure-activity (QSAR)/quantitative structure-activity structure-property (QSPR) research, theoretical properties of the chemical compounds and their molecular topological indices such as the Randić connectivity index, atom-bond connectivity (ABC) index and geometric-arithmetic (GA) index are used to predict the bioactivity of different chemical compounds. A dendrimer is an artificially manufactured or synthesized molecule built up from the branched units called monomers. In this paper, the fourth version of ABC index and the fifth version of GA index of certain families of nanostar dendrimers are investigated. We derive the analytical closed formulas for these families of nanostar dendrimers. The obtained results can be of use in molecular data mining, particularly in researching the uniqueness of tested (hyper-branched) molecular graphs.

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Section: Introduction and Preliminary Resultsmentioning

confidence: 99%

“…The number of vertices and edges in POD 2 rns are 2 n`5´1 0 and 2 n`5´1 1, respectively (see [14]). Figure 3 shows the graph of POPAM dendrimer POD 2 rns with 2 growth stages.…”

Section: )mentioning

confidence: 99%

On Topological Indices of Certain Families of Nanostar Dendrimers

et al. 2016

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“…We now compute the ABC index of NS 3 [n] in the following theorem. We shall now investigate the ABC index of the first type of polyphenylene dendrimers.…”

Section: The Atom-bond Connectivity Index Of Some Dendrimersmentioning

confidence: 99%

“…18 20 Moreover, some people have determined the mathematical properties of certain families of dendrimers, nanotubes, nanotori and fullereness in Refs. [3,10,13,[15][16][17].…”

Section: Introductionmentioning

confidence: 99%

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On the Atom-Bond Connectivity Index of Some Families of Dendrimers

Alikhani¹,

Hasni²,

Arif³

2014

Jnl of Comp & Theo Nano

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Let G be a simple graph. The atom-bond connectivity (ABC) index of G is defined asThis molecular structure descriptor, introduced by Estrada et al. in the late 1990s, found recently interesting applications in the study of the thermodynamic stability of acyclic saturated hydrocarbons, and the strain energy of their cyclic congeners. A dendrimer is a hyperbranched molecule built up from branched units called monomers. In this paper, we compute the ABC index for some families of nanostars and polyphenylene dendrimers.

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Chromatic polynomial of graphs chain

Hashem

Arif

2023

International Conference of Computational Methods in Sciences and Engineering Iccmse 2021

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Chromatic Polynomials of POPAM and Siloxane Dendrimers

Cited by 6 publications

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On Topological Indices of Certain Families of Nanostar Dendrimers

On Topological Indices of Certain Families of Nanostar Dendrimers

On the Atom-Bond Connectivity Index of Some Families of Dendrimers

Chromatic polynomial of graphs chain

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