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edge metric dimension of Honeycomb and Hexagonal Networks for IoT

Computers, Materials & Continua 2022年第5期71卷 2683-2695页

作者： Sohail Abbas Zahid Raza Nida Siddiqui Faheem Khan Taegkeun Whangbo Department of Computer Science College of Computing and InformaticsUniversity of SharjahSharjah27272UAE Department of Mathematics College of SciencesUniversity of SharjahSharjah27272UAE Artificial Intelligence Lab Department of Computer EngineeringGachon UniversitySeongnam13557Korea

Wireless Sensor Network(WSN)is considered to be one of the fundamental technologies employed in the Internet of things(IoT);hence,enabling diverse applications for carrying out real-time *** navigation in such networks was the main motivation for the introduction of the concept of landmarks.A robot can identify its own location by sending signals to obtain the distances between itself and the *** networks to be a type of graph,this concept was redefined as metric dimension of a graph which is the minimum number of nodes needed to identify all the nodes of the *** idea was extended to the concept of edge metric dimension of a graph G,which is the minimum number of nodes needed in a graph to uniquely identify each edge of the *** plane networks can be easily constructed by repeating regular *** design is of extreme importance as it yields high overall performance;hence,it can be used in various networking and IoT *** honeycomb and the hexagonal networks are two such popular mesh-derived parallel *** this paper,it is proved that the minimum landmarks required for the honeycomb network HC(n),and the hexagonal network HX(n)are 3 and 6 *** bounds for the landmarks required for the hex-derived network HDN1(n)are also proposed.

关键词： edge metric dimension internet of things wireless sensor network honeycomb network hexagonal network hex-derived networks

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