On Ve-Degree and Ev-Degree Based Topological Indices for the Series of Benzenoid Graphs

Ibrahim, Muhammad; Zahra, Nida; Siddiqui, Muhammad Kamran

doi:10.1080/10406638.2021.1926294

Cited by 10 publications

(4 citation statements)

References 11 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The specific arrangement of rings in the benzenoid system provides the transformation in series of benzenoid structures of the benzenoid graph thats way the structures are changed. In the series of concealed Non-Kekulean benzenoid graph K n [1,2,5], where n shows the number of bridges [20] in the center of K n , as shown in Figure 1. Similarly for n = k, there are k bridges.…”

Section: Temperature Indices For a Non-kekulean Benzenoid Graph 1 Int...mentioning

confidence: 99%

“…Therefore by observing this concept of atom-bonds, there are two types of atoms v i and v j such that d v i = 2 and d v j = 3, where d v i and d v j means the valency of atoms ∀ v i , v j ∈ K n . The order and size of Non-Kekulean benzenoid graphs K n is [5]:…”

Section: Temperature Indices For a Non-kekulean Benzenoid Graph 1 Int...mentioning

confidence: 99%

“…Figure 1: Non-Kekulean benzenoid Graphs K n [5] to the degree of the atoms, there are three types of atom-bonds in K n : (2 ∼ 2), (2 ∼ 3) and (3 ∼ 3). The atom-bonds partition of K n is shown as [5]:…”

Section: Temperature Indices For a Non-kekulean Benzenoid Graph 1 Int...mentioning

confidence: 99%

See 2 more Smart Citations

Temperature indices for a Non-Kekulean benzenoid graph

Liu,

Ghani,

KHAN

et al. 2024

Preprint

View full text Add to dashboard Cite

A molecular descriptor, also known as a topological graph index, is a mathematical formula that may be implemented to any network that reflects a molecule structure. This index can be used to explore some physical aspects of a molecule and examine mathematical values. As a consequence, it is a better solution for costly and time-consuming laboratory experiments. In this work, we calculate the first temperature index, the second temperature index, the first hyper temperature index, the second hyper temperature index, the sum temperature index, the product temperature index, the reciprocal product temperature index and the $F$-temperature index. These defined indices are computed for the Non-KuKulean benzenoid graph.

show abstract

Section: Temperature Indices For a Non-kekulean Benzenoid Graph 1 Int...mentioning

confidence: 99%

Section: Temperature Indices For a Non-kekulean Benzenoid Graph 1 Int...mentioning

confidence: 99%

See 1 more Smart Citation

Temperature indices for a Non-Kekulean benzenoid graph

Liu,

Ghani,

KHAN

et al. 2024

Preprint

View full text Add to dashboard Cite

show abstract

“…The distance-related indices in network theory and the degree-based indices in the chemical and pharmaceutical industries have both been shown to be extremely efficient. T-indices provide a simple and theoretical method to obtain in-depth knowledge about drugs by estimating the structural characteristics of a series of pharmaceuticals [4][5][6][7] .…”

Section: Introductionmentioning

confidence: 99%

Bi-Distance Approach to Determine the Topological Invariants of Silicon Carbide

et al. 2023

View full text Add to dashboard Cite

The use of silicon carbide is increasing significantly in the fields of research and technology. Topological indices enable data gathering on algebraic graphs and provide a mathematical framework for analyzing the chemical structural characteristics. In this paper, well-known degree-based topological indices are used to analyze the chemical structures of silicon carbides. To evaluate the features of various chemical or non-chemical networks, a variety of topological indices are defined. In this paper, a new concept related to the degree of the graph called "bi-distance" is introduced, which is used to calculate all the additive as well as multiplicative degree-based indices for the isomer of silicon carbide, Si2C3-1[t, h]. The term "bi-distance" is derived from the concepts of degree and distance in such a way that second distance can be used to calculate degree-based topological indices.

show abstract