On topological properties of hexagonal and silicate networks

Akhter, Shehnaz; Imran, Muhammad; Farahani, Mohammad Reza

doi:10.15672/hjms.2017.541

Cited by 9 publications

(6 citation statements)

References 10 publications

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“…To date, topological indices are the most notable field of graphical research. For more discussion on numerous invariants, we refer readers to studies by ( Gutman, 2013 ; Akhter et al, 2016 ; Akhter and Imran, 2016 ; Akhter et al, 2017 ; Akhter et al, 2018 ; Akhter et al, 2020 ).…”

Section: Introductionmentioning

confidence: 99%

Expected value of first Zagreb connection index in random cyclooctatetraene chain, random polyphenyls chain, and random chain network

2023

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The Zagreb connection indices are the known topological descriptors of the graphs that are constructed from the connection cardinality (degree of given nodes lying at a distance 2) presented in 1972 to determine the total electron energy of the alternate hydrocarbons. For a long time, these connection indices did not receive much research attention. Ali and Trinajstić [Mol. Inform. 37, Art. No. 1800008, 2018] examined the Zagreb connection indices and found that they compared to basic Zagreb indices and that they provide a finer value for the correlation coefficient for the 13 physico-chemical characteristics of the octane isomers. This article acquires the formulae of expected values of the first Zagreb connection index of a random cyclooctatetraene chain, a random polyphenyls chain, and a random chain network with l number of octagons, hexagons, and pentagons, respectively. The article presents extreme and average values of all the above random chains concerning a set of special chains, including the meta-chain, the ortho-chain, and the para-chain.

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Section: Introductionmentioning

confidence: 99%

Expected value of first Zagreb connection index in random cyclooctatetraene chain, random polyphenyls chain, and random chain network

2023

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“…Topological indices are the numerical parameters of a graph, and these parameters are the same for graphs which are isomorphic. A variety of topological indices have been created and developed, and many studies have been conducted on them in various fields of molecular graphs and networks [9][10][11][12][13][14]. A. M. Hanan Ahmed et al [15], have introduced new degree-based topological indices called domination topological indices which are based on the minimal dominating sets.…”

Section: Introductionmentioning

confidence: 99%

Domination topological properties of polyhydroxybutyrate and polycaprolactone with QSPR analysis

Ahmed¹,

Alwardi²,

Wazzan³

2021

Nanosystems: Phys. Chem. Math.

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Polyhydroxyalkanoates (PHAs) are biopolymers, which are stored inside cells as energy storage materials by various microorganisms. PHAs are plastic materials that have a positive environmental impact when compared to regular plastics in terms of production methods and recyclabillity. In addition, PHAs are characterized by biocompatibility, biodegradability and thus have a wide range of applications such as biomedicine, surgery, etc. The most common PHAs are Polyhydroxybutyrate, Polyhydroxyvalerate, and copolymer. In this paper, we calculate the domination topological indices of these polymers; also, we discuss the quantitative structure property relationships (QSPR) analysis of these domination topological indices. Further, we show that the characteristics have a good correlation with the physico-chemical characteristics of polymers.

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“…For the comprehensive study regarding the various graph descriptors, we refer to refs. [ 22–35 ] . Before we proceed to the main results, the upcoming proposition with the results of the Mostar index and the edge Mostar index for the path graph on l vertices can be easily verified.Proposition

{Mo}_{v} ((), {scriptP}_{l}) = {Mo}_{e} ((), {scriptP}_{l}) = (⌊⌋, \frac{{(l - 1)}^{2}}{2})

.…”

Section: Introductionmentioning

confidence: 99%

Edge Mostar index of chemical structures and nanostructures using graph operations

Imran

Akhter

Iqbal

2020

Int J of Quantum Chemistry

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Recently, a new bond‐additive molecular topological descriptor, named the Mostar index, has been put forward as a measure of peripherality in chemical graphs and networks. In this article, we determine the edge versions of the Mostar index of a corona product, Cartesian product, join, Indu‐Bala product, and subdivision vertex‐edge join of graphs and implement these outcomes to find the edge Mostar index of several classes of chemical graphs and nanostructures.

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On topological properties of hexagonal and silicate networks

Cited by 9 publications

References 10 publications

Expected value of first Zagreb connection index in random cyclooctatetraene chain, random polyphenyls chain, and random chain network

Expected value of first Zagreb connection index in random cyclooctatetraene chain, random polyphenyls chain, and random chain network

Domination topological properties of polyhydroxybutyrate and polycaprolactone with QSPR analysis

Edge Mostar index of chemical structures and nanostructures using graph operations

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