{"title":"Subsets and Freezing Sets in the Digital Plane","authors":"L. Boxer","doi":"10.15672/HUJMS.827556","DOIUrl":null,"url":null,"abstract":"We continue the study of freezing sets for digital images introduced in [4, 2, 3]. We prove methods for obtaining freezing sets for digital images (X, c_i) for X \\subset Z^2 and i \\in {1, 2}. We give examples to show how these methods can lead to the determination of minimal freezing sets.","PeriodicalId":8454,"journal":{"name":"arXiv: Geometric Topology","volume":"30 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2020-10-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"5","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv: Geometric Topology","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.15672/HUJMS.827556","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 5
Abstract
We continue the study of freezing sets for digital images introduced in [4, 2, 3]. We prove methods for obtaining freezing sets for digital images (X, c_i) for X \subset Z^2 and i \in {1, 2}. We give examples to show how these methods can lead to the determination of minimal freezing sets.
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