Notes on the Localization of Generalized Hexagonal Cellular Networks

Muhammad Azeem (), Muhammad Kamran Jamil and Yilun Shang ()
Additional contact information
Muhammad Azeem: Department of Mathematics, Riphah International University Lahore, Lahore 54000, Pakistan
Muhammad Kamran Jamil: Department of Mathematics, Riphah International University Lahore, Lahore 54000, Pakistan
Yilun Shang: Department of Computer and Information Sciences, Northumbria University, Newcastle NE1 8ST, UK

Mathematics, 2023, vol. 11, issue 4, 1-15

Abstract: The act of accessing the exact location, or position, of a node in a network is known as the localization of a network. In this methodology, the precise location of each node within a network can be made in the terms of certain chosen nodes in a subset. This subset is known as the locating set and its minimum cardinality is called the locating number of a network. The generalized hexagonal cellular network is a novel structure for the planning and analysis of a network. In this work, we considered conducting the localization of a generalized hexagonal cellular network. Moreover, we determined and proved the exact locating number for this network. Furthermore, in this technique, each node of a generalized hexagonal cellular network can be accessed uniquely. Lastly, we also discussed the generalized version of the locating set and locating number.

Keywords: locating set; locating number; generalized hexagonal cellular network; fault-tolerant locating set; resolving set (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/11/4/844/pdf (application/pdf)
https://www.mdpi.com/2227-7390/11/4/844/ (text/html)

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:gam:jmathe:v:11:y:2023:i:4:p:844-:d:1060432

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().