Optimizing emergency response services in urban areas through the fault-tolerant metric dimension of hexagonal nanosheet

Abstract In this work, we find the fault-tolerant metric dimension of a hexagonal nanosheet. This concept ensures robust identity of vertices inside a graph, even in situations in which a few resolving vertices fail. By extending the applicability of this parameter to city systems, we explore its pr...

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Bibliografische Detailangaben

Hauptverfasser:	Yaoyao Tu, Sikander Ali, Muhammad Azeem, Misbah Arshad, Ghulam Haidar, Hamdy Khamees Thabet
Format:	Artigo
Sprache:	Inglês
Veröffentlicht:	Nature Portfolio 2025-08-01
Schriftenreihe:	Scientific Reports
Schlagworte:	Resolving set Metric dimension Edge metric dimension Fault-tolerant metric dimension Hexagonal nanosheet
Online-Zugang:	https://doi.org/10.1038/s41598-025-16684-0
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