Edge Metric Dimension of Honeycomb and Hexagonal Networks for IoT

作     者：Sohail Abbas Zahid Raza Nida Siddiqui Faheem Khan Taegkeun Whangbo 

作者机构：Department of Computer ScienceCollege of Computing and InformaticsUniversity of SharjahSharjah27272UAE Department of MathematicsCollege of SciencesUniversity of SharjahSharjah27272UAE Artificial Intelligence LabDepartment of Computer EngineeringGachon UniversitySeongnam13557Korea 

出 版 物：《Computers, Materials & Continua》 (计算机、材料和连续体（英文）)

年 卷 期：2022年第71卷第5期

页      面：2683-2695页

核心收录：

学科分类：0809[工学-电子科学与技术（可授工学、理学学位）] 08[工学] 

基　　金：No funding was received to support any stage of this research study.Zahid Raza is funded by the University of Sharjah under the Projects#2102144098 and#1802144068 and MASEP Research Group 

主　　题：Edge metric dimension internet of things wireless sensor network honeycomb network hexagonal network hex-derived networks 

摘      要：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.