{"title":"2D Adiabatic CA Rules over ℤp","authors":"Otaxon Khudayberganov, Rustam Gaybullaev, Shovkat Redjepov","doi":"10.1109/ICISCT55600.2022.10146848","DOIUrl":null,"url":null,"abstract":"The present paper is devoted to study of a new type of lattice that is called pentagonal lattice. It is defined the von Neumann neighborhood of a cell in this lattice. Then, we consider a linear Cellular Automata with von Neumann neighborhood over pentagonal lattice. We investigate this Cellular Automata with adiabatic boundary condition. For the considered Cellular Automata, it is determined the transition rule matrix over the field ℤp with adiabatic boundary condition.","PeriodicalId":332984,"journal":{"name":"2022 International Conference on Information Science and Communications Technologies (ICISCT)","volume":"12 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2022-09-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2022 International Conference on Information Science and Communications Technologies (ICISCT)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICISCT55600.2022.10146848","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
The present paper is devoted to study of a new type of lattice that is called pentagonal lattice. It is defined the von Neumann neighborhood of a cell in this lattice. Then, we consider a linear Cellular Automata with von Neumann neighborhood over pentagonal lattice. We investigate this Cellular Automata with adiabatic boundary condition. For the considered Cellular Automata, it is determined the transition rule matrix over the field ℤp with adiabatic boundary condition.
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