Topological Indices of the Pent-Heptagonal Nanosheets VC5C7 and HC5C7

Deng, Fei; Zhang, Xiujun; Alaeiyan, Mehdi; Mehboob, Abid

doi:10.1155/2019/9594549

Cited by 27 publications

(27 citation statements)

References 42 publications

(39 reference statements)

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“…Munir et al [33] have discussed certain computational aspects of triangular Boron nanotubes. Topological Indices of the Pent-Heptagonal Nanosheets VC 5 C 7 and HC 5 C 7 were discussed by Deng et al in [34]. In this scenario, we compute and analyse various Zagreb and Randić topological indices for c − WO 3 [p, q, r] nanomultilayer through its molecular graph, which is precisely the contribution of this study.…”

Section: Introductionmentioning

confidence: 86%

On certain degree based Zagreb and Randi? indices for cubic tungsten trioxide $[p,q,r]$ nanomultilayer

M.S.¹,

Parasuraman²

2020

Malaya J. Mat

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Topological index is one of the significant tools in chemical graph theory, and is designed to transform a molecular map into a number. Basically, topological index is a single numeric quantity which characterises the entire chemical structure of a compound. Topological indices are crucial relevance to the physicochemical properties of the molecular compounds and also predicting their bioactivity. As an n-type semiconducting metal oxide, cubic tungsten trioxide (hereafter c − WO 3 ) nanostructure has been considered as a potential candidate, which offers manifold applications. Therefore, the chemistry of c − WO 3 is very important and its interdisciplinary study provides a way to understand the importance of various domains. In this study, we computed certain degree based Zagreb and Randić topological indices for c −WO 3 nanomultilayer for all values of p, q and r by adopting edge partition technique. The computational results are analysed, compared and the general formulas to the indices are obtained.

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Section: Introductionmentioning

confidence: 86%

On certain degree based Zagreb and Randi? indices for cubic tungsten trioxide $[p,q,r]$ nanomultilayer

M.S.¹,

Parasuraman²

2020

Malaya J. Mat

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“…If AD((x, y)|W) has at least one nonzero element in its s-vector for every x ≠ y ∈ V(G), then W is called the RS. For more details, we refer to [1,2].…”

Section: Introductionmentioning

confidence: 99%

Fault‐Tolerant Resolvability in Some Classes of Subdivision Graphs

Faheem

Zahid

Alrowaili

et al. 2022

Journal of Mathematics

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The concept of resolving sets (RSs) and metric dimension (MD) invariants have a wide range of applications in robot navigation, computer networks, and chemical structure. RS has been used as a sensor in an indoor positioning system to find an interrupter. Many terminologies in machine learning have also been used to diagnose the interrupter in the systems of marine and gas turbines using sensory data. We proposed a fault-tolerant self-stable system that allows for the detection of an interrupter even if one of the sensors in the chain fails. If the elimination of any element from a RS is still a RS, then the RS is considered as a fault-tolerant resolving set (FTRS), and the fault-tolerant metric dimension (FTMD) is its minimum cardinality. In this paper, we calculated the FTMD of the subdivision graphs of the necklace and prism graphs. We also found that this invariant has constant values for both graphs.

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“…These graph invariants are useful for molecular objects and are named as topological indices or topological descriptors. These are numerical parameters of graphs which can be used to describe the physiochemical properties like boiling point, molecular weight, density and refractive index of a molecule [1,2]. The three main categories of topological indices are distance-based topological indices, degree-based indices and spectrum-based topological indices.…”

Section: Introductionmentioning

confidence: 99%

“…Milan Randic introduced the Randic index in 1975. It was the most popular index among all topological indices [2,8]. The mathematical form of this descriptor is…”

Section: Introductionmentioning

confidence: 99%

The Degree-Based Topological Indices for Two Special Families of Graphs of Diameter Three

Khalid¹,

Kausar

Munir³

et al. 2021

Advances in Mathematical Physics

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In this research article, we determine some vertex degree-based topological indices or descriptors of two families of graphs, i.e., G = C 4 K n and G = C 4 K n + v 1 v 3 , where C 4 K n is a graph obtained by identifying one of the vertices of K n with one vertex of C 4 . Similarly, a graph formed by joining one of the vertices of K n with one vertex of C 4 + v 1 v 3 is known as the C 4 K n + v 1 v 3 graph.

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Topological Indices of the Pent-Heptagonal Nanosheets VC₅C₇ and HC₅C₇

Cited by 27 publications

References 42 publications

On certain degree based Zagreb and Randi? indices for cubic tungsten trioxide $[p,q,r]$ nanomultilayer

On certain degree based Zagreb and Randi? indices for cubic tungsten trioxide $[p,q,r]$ nanomultilayer

Fault‐Tolerant Resolvability in Some Classes of Subdivision Graphs

The Degree-Based Topological Indices for Two Special Families of Graphs of Diameter Three

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