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.
Original language | English |
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Article number | 844 |
Number of pages | 15 |
Journal | Mathematics |
Volume | 11 |
Issue number | 4 |
DOIs | |
Publication status | Published - 7 Feb 2023 |
Keywords
- locating set
- locating number
- resolving set
- fault-tolerant locating set
- generalized hexagonal cellular network