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A fractional-order multifunctional n-step honeycomb RLC circuit network

Frontiers of Information Technology & Electronic Engineering 2017年第8期18卷 1186-1196页

作者： Ling ZHOU Zhi-zhong TAN Qing-hua ZHANG Department of Physics Nantong University Nantong 226019 China Department of Mathematics Nantong University Nantong 226019 China

We investigate a multifunctional n-step honeycomb network which has not been studied before. By adjusting the circuit parameters, such a network can be transformed into several different networks with a variety of functions, such as a regular ladder network and a triangular network. We derive two new formulae for equivalent resistance in the resistor network and equivalent impedance in the LC network, which are in the fractional-order domain. First, we simplify the complex network into a simple equivalent model. Second, using Kirchhoff＇s laws, we establish a fractional difference equation. Third, we construct an equivalent transformation method to obtain a general solution for the nonlinear differential equation. In practical applications, several interesting special results are obtained. In particular, an n-step impedance LC network is discussed and many new char- acteristics of complex impedance have been found.

关键词： honeycomb network Equivalent transformation Fractional differential equation Impedance characteristics

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Edge Metric Dimension of honeycomb and Hexagonal networks for IoT

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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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Synthesis and Crystal Structure of a New 2D honeycomb-like Cadmium(II) Complex with Tripodal Ligand

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Chinese Journal of Chemistry 2002年第4期20卷 341-345页

作者：孙为银樊健岡村高明唐雯霞上山憲一 State Key Laboratory of Coordination Chemistry Institute of Coordination Chemistry Nanjing University Nanjing 210093 China Department of Macromolecular Science Graduate School of Science Osaka University Toyonaka Osaka 560–0043 Japan

A new cadmium(Ⅱ) coordination polymer, [Cd(TITMB)_2]-(SO_4 )·21H_2O, whereTITMB = 1, 3, 5-tris (imidazol-1-yl-methyl) -2, 4, 6-trimethylbenzene, was obtained by self-assemblyof tripodal ligand TITMB with CdSO_4·2.7H_2O in acetonitrile, and characterized by X-raycrystallography. The crystal data belongs to monoclinic space group C_c with cell parameters a =1.16891(4) nm, b= 2.06671(6) nm, c = 2.48185(7) nm, β= 97.8560(10)°, R = 0.0487, wR =0.1211. Theresults of structure analysis indicate that each TITMB ligand coordinates three metal atoms and inturn each Cd(Ⅱ) atom with octahedral coordination geometry connects six nitrogen atoms of imidazolegroup from six different TITMB ligands to produce a 2D honeycomb network structure. There are a lotof water molecules linked by hydrogen bonds and occupied the channels formed intra- andinter-sheets.

关键词： honeycomb network crystal structure cadmium (Ⅱ) complex tripodal ligand

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