Computation of Edge Resolvability of Benzenoid Tripod Structure

Ali Ahmad, Sadia Husain, Muhammad Azeem, Kashif Elahi, M. K. Siddiqui and Gaetano Luciano

Journal of Mathematics, 2021, vol. 2021, 1-8

Abstract: In chemistry, graphs are commonly used to show the structure of chemical compounds, with nodes and edges representing the atom and bond types, respectively. Edge resolving set λe is an ordered subset of nodes of a graph C, in which each edge of C is distinctively determined by its distance vector to the nodes in λ. The cardinality of a minimum edge resolving set is called the edge metric dimension of C. An edge resolving set Le,f of C is fault-tolerant if λe,f∖b is also an edge resolving set, for every b in λe,f. Resolving set allows obtaining a unique representation for chemical structures. In particular, they were used in pharmaceutical research for discovering patterns common to a variety of drugs. In this paper, we determine the exact edge metric and fault-tolerant edge metric dimension of benzenoid tripod structure and proved that both parameters are constant.

Date: 2021
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/jmath/2021/9336540.pdf (application/pdf)
http://downloads.hindawi.com/journals/jmath/2021/9336540.xml (application/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:9336540

DOI: 10.1155/2021/9336540

Access Statistics for this article

More articles in Journal of Mathematics from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().