Schultz Index of Armchair Polyhex Nanotubes

Eliasi, Mehdi; Salehi, Nafiseh

doi:10.3390/ijms9102016

Cited by 7 publications

(10 citation statements)

References 21 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…Tang et al [49] studied the extremal properties of some distance-based topological indices for trees and unicyclic graphs. For computational study of distance-based topological indices, we refer [3], [6], [7], [16], [23], [51], [52], and [54].…”

Section: B Literature Reviewmentioning

confidence: 99%

An Efficient Computational Technique for Degree and Distance Based Topological Descriptors With Applications

2019

View full text Add to dashboard Cite

Quantitative structure-activity and structure-property associations of natural systems require terminologies for their topological properties. Structure-based topological descriptors/indices of these systems allow these chemical possessions and the bioactivities of these compounds through reckonable structure-activity and structure-property associations' procedures. In this paper, we propose a computational technique to compute analytically exact expressions for certain degree and distance-based topological indices for general graphs. A comparative analysis is conducted with the known techniques where certain experiments are performed to show that our technique is more efficient and possesses less algorithmic and computational complexity. We apply our method to compute explicit expressions of certain degree and distance topological indices for certain infinite families of fullerenes, carbon nanotubes, and carbon nanocones. The obtained results in this paper generalize certain known results in the literature. INDEX TERMS Mathematical chemistry, topological descriptors, distance-based topological indices, degree-distance-based topological indices, fullerenes, carbon nanotubes, carbon nanocones.

show abstract

Section: B Literature Reviewmentioning

confidence: 99%

An Efficient Computational Technique for Degree and Distance Based Topological Descriptors With Applications

2019

View full text Add to dashboard Cite

show abstract

“…For mathematical as well as chemical meaning and signicance of these topological indices, we refer the reader to papers [3,33,42]. For application of the Szeged and the revised Szeged indices for carbon nanotubes, see for example, [10].…”

Section: It Is Dened Asmentioning

confidence: 99%

“…In the following result, without proof, we give exact analytical expressions for the GA index of certain under-considered polyomino chains. 2n − 3 (12,12) n − 1 2n − 2 (7,12) 2n − 2 2n − 2 (10,10) n − 1 (10,11) 1 (10,12) 2n − 3 (12,12) n − 1 2n − 1 2n + 3 6n − 1 4n − 1 n − 1 Table 19. The edge partition of rn based on degrees of end vertices.…”

Section: Abc(znmentioning

confidence: 99%

See 1 more Smart Citation

Distance property of chemical graphs

Hayat¹,

Ahmad²,

Umair³

et al. 2017

HJMS

View full text Add to dashboard Cite

We have developed a rigorous computational technique to compute exact analytic expressions for a number of distance-based topological indices of chemical graphs. There are two main advantages of our technique over existing techniques of similar nature: rst, our technique is signicantly diverse as it also covers the Wiener index and eccentricitybased topological indices besides Szeged-like indices, and secondly we have considerably reduced the algorithmic and computational complexity in comparison to previous techniques. Our proposed technique generates certain vertex and edge partitions of a graph which are essential in computing the exact analytical formulas of distance-based and eccentricity-based indices. To ensure the applicability of our technique, we have computed various distance-based and eccentricity-based topological indices for certain innite families of polyomino chain system. Moreover, we nd analytical exact expressions of certain degree-based topological indices for these polyomino chains. These topological indices can be obtained as a by-product of our technique.

show abstract

“…We encourage the reader to consult the mentioned papers as well as papers by Taeri [33,34] for more information on this subject.…”

Section: Introductionmentioning

confidence: 98%

The study of an infinite class of dendrimer nanostars by topological index approaches

Ashrafi

Mirzargar

2008

J. Appl. Math. Comput.

View full text Add to dashboard Cite

show abstract

Schultz Index of Armchair Polyhex Nanotubes

Cited by 7 publications

References 21 publications

An Efficient Computational Technique for Degree and Distance Based Topological Descriptors With Applications

An Efficient Computational Technique for Degree and Distance Based Topological Descriptors With Applications

Distance property of chemical graphs

The study of an infinite class of dendrimer nanostars by topological index approaches

Contact Info

Product

Resources

About