The (a,b)-Zagreb index of line graphs of subdivision graphs of some molecular structures

Sarkar, Prosanta; Pal, Anita; De, Nilanjan

doi:10.1142/s2661335220500069

Cited by 10 publications

(4 citation statements)

References 14 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…It is considered a sub-cluster of primitive coronoids and is further categorized as catacondensed coronoids [14]. For a new variety of hollow coronoid topologies, one can find in [38]. In which authors discussed some topological properties of this structure and its relevance also.…”

Section: Construction Of Hollow Coronoid Hc (P Q S)mentioning

confidence: 99%

Metric and Fault-Tolerant Metric Dimension of Hollow Coronoid

et al. 2021

View full text Add to dashboard Cite

Coronoid systems actually arrangements of hexagons into six sides of benzenoids. By nature, it is an organic chemical structure. Hollow coronoids are primitive and catacondensed coronoids. It is also known as polycyclic conjugated hydrocarbons. The mathematical study of chemicals is of great interest to different specialties researchers. While graph theory always played a significant role to make chemical structures understandable and blessed with applications also. After transforming the chemical structure into a graph, one can implement different theoretical and implicative studies on structures. Metric dimension is considered as one of the most studied and implicative parameters of graph theory. In this concept, few suggested vertices are chosen such as the remaining vertices have unique locations or identifications. In this study, we discussed different metric-based parameters for the hollow coronoid structure. INDEX TERMS Hollow coronoid; metric dimension; resolving set; fault-tolerant metric dimension.

show abstract

Section: Construction Of Hollow Coronoid Hc (P Q S)mentioning

confidence: 99%

Metric and Fault-Tolerant Metric Dimension of Hollow Coronoid

et al. 2021

View full text Add to dashboard Cite

show abstract

“…In [38], one can find a new form of hollow coronoid topologies. The authors explored some of the structure's topological features, as well as their relevance.…”

Section: Construction Of Hollow Coronoidmentioning

confidence: 99%

Edge Metric and Fault-Tolerant Edge Metric Dimension of Hollow Coronoid

et al. 2021

View full text Add to dashboard Cite

Geometric arrangements of hexagons into six sides of benzenoids are known as coronoid systems. They are organic chemical structures by definition. Hollow coronoids are divided into two types: primitive and catacondensed coronoids. Polycyclic conjugated hydrocarbon is another name for them. Chemical mathematics piques the curiosity of scientists from a variety of disciplines. Graph theory has always played an important role in making chemical structures intelligible and useful. After converting a chemical structure into a graph, many theoretical and investigative studies on structures can be carried out. Among the different parameters of graph theory, the dimension of edge metric is the most recent, unique, and important parameter. Few proposed vertices are picked in this notion, such as all graph edges have unique locations or identifications. Different (edge) metric-based concept for the structure of hollow coronoid were discussed in this study.

show abstract

“…Various properties and computations related to this index have been reported in [20,21]. Now, the generalized Zagreb index and co-index is formulated where summation is based on edge degrees:…”

Section: Introductionmentioning

confidence: 99%

On Transformed Graphs

Sarkar

Nanjappa

Gutman

2023

Preprint

View full text Add to dashboard Cite

The network systems and graphical analysis through the study ofstructural characteristics is a vast field of growing importance inresearch. Topological indices have a significant and crucial role inthe study of structure–property relationships. In this paper, weexamine constructional transformed networks constructed by unique vertex-edge incidence and mutual adjacency associations. Expres-sions for the first and second hyper Zagreb indices and co-indices of these transformed networks and their complements are obtained. MSC Classification: 05C09 , 05C90 , 05C92

show abstract

The (a,b)-Zagreb index of line graphs of subdivision graphs of some molecular structures

Cited by 10 publications

References 14 publications

Metric and Fault-Tolerant Metric Dimension of Hollow Coronoid

Metric and Fault-Tolerant Metric Dimension of Hollow Coronoid

Edge Metric and Fault-Tolerant Edge Metric Dimension of Hollow Coronoid

On Transformed Graphs

Contact Info

Product

Resources

About