Some Eccentricity-Based Topological Indices and Polynomials of Poly(EThyleneAmidoAmine) (PETAA) Dendrimers

Zheng, Jialin; Iqbal, Zahid; Fahad, Asfand; Zafar, Asim; Aslam, Adnan; Qureshi, Muhammad Imran; Irfan, Rida

doi:10.3390/pr7070433

Cited by 22 publications

(14 citation statements)

References 42 publications

(44 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The evaluation and analysis of topological indices of molecular structures are modern trends of research, which are of the significant importance in nanotechnology and theoretical chemistry. We refer the interested reader to [22]- [24], [30], [31], [35]- [37], [39], [40], [54] for an introduction to this subject. We use the cut method that was suggested in [42] and they used it to find the Wiener index of graphs.…”

Section: Introductionmentioning

confidence: 99%

The Topological Aspects of Phthalocyanines and Porphyrins Dendrimers

et al. 2020

Self Cite

View full text Add to dashboard Cite

Graph theory provides powerful and efficient tools for the topological characterization of the underline structure. Any problem that contains a graph structure can be analysed and determined by using a graph-theoretical method which in turn extend the scope of applications in different fields of engineering and science. In particular, chemical graph theory addresses the characterization of the underlying topology by offering excellent descriptors that are associated with the structural, and they have the talent to correspond with the observed properties. It is usually brought into service to achieve the quantitative characterization of material structures, thereby empowering the study of quantitative structure toxicity (QSTR), property (QSPR) and activity (QSAR) relationships of the molecular structures.ÂȃIn this paper, the different versions of Szeged, Padmakar-Iven (PI) and Mostar indices for the molecular graphs of two types of dendrimers having phthalocyanines and porphyrins as their cores are illustrated through the numerical way.

show abstract

Section: Introductionmentioning

confidence: 99%

The Topological Aspects of Phthalocyanines and Porphyrins Dendrimers

et al. 2020

Self Cite

View full text Add to dashboard Cite

show abstract

“…For a comprehensive study of different types of topological indices, see [17][18][19][20]24,31,33,36,58,59] and references therein. Throughout this article, all graphs are finite, undirected, and simple.…”

Section: Introductionmentioning

confidence: 99%

The measure of irregularities of nanosheets

et al. 2020

Self Cite

View full text Add to dashboard Cite

Nanosheets are two-dimensional polymeric materials, which are among the most active areas of investigation of chemistry and physics. Many diverse physicochemical properties of compounds are closely related to their underlying molecular topological descriptors. Thus, topological indices are fascinating beginning points to any statistical approach for attaining quantitative structure–activity (QSAR) and quantitative structure–property (QSPR) relationship studies. Irregularity measures are generally used for quantitative characterization of the topological structure of non-regular graphs. In various applications and problems in material engineering and chemistry, it is valuable to be well-informed of the irregularity of a molecular structure. Furthermore, the estimation of the irregularity of graphs is helpful for not only QSAR/QSPR studies but also different physical and chemical properties, including boiling and melting points, enthalpy of vaporization, entropy, toxicity, and resistance. In this article, we compute the irregularity measures of graphene nanosheet, H-naphtalenic nanosheet, {\text{SiO}}_{2} nanosheet, and the nanosheet covered by {C}_{3} and {C}_{6}.

show abstract

“…For motivation and recent results on these topological indices related to the dendrimers, please see: Diudea et al (2010), Malik and Farooq (2015a), Malik and Farooq (2015b), Zheng et al (2019), and Iqbal et al (2020).…”

Section: Introductionmentioning

confidence: 99%

Eccentricity based topological indices of siloxane and POPAM dendrimers

Iqbal

Imran

Zaighum

2020

Main Group Metal Chemistry

View full text Add to dashboard Cite

AbstractA massive of early drug tests indicates that there is some strong inner connections among the bio-medical and pharmacology properties of nanostar dendrimers and their molecular structures. Topological descriptors are presented as fundamentally transforming a molecular graph into a number. There exist various categories of such descriptors particularly those descriptors that based on edge and vertex distances. Topological descriptors are exercised for designing biological, physico-chemical, toxicological, pharmacologic and other characteristics of chemical compounds. In this paper, we study infinite classes of siloxane and POPAM dendrimers and derive their Zagreb eccentricity indices, eccentric-connectivity and total-eccentricity indices.

show abstract

Some Eccentricity-Based Topological Indices and Polynomials of Poly(EThyleneAmidoAmine) (PETAA) Dendrimers

Cited by 22 publications

References 42 publications

The Topological Aspects of Phthalocyanines and Porphyrins Dendrimers

The Topological Aspects of Phthalocyanines and Porphyrins Dendrimers

The measure of irregularities of nanosheets

Eccentricity based topological indices of siloxane and POPAM dendrimers

Contact Info

Product

Resources

About