{"title":"Critical Relations of Crowns in Critical Times of Coronavirus Depression.","authors":"Ádám Kunos, Miklós Maróti, László Zádori","doi":"10.1007/s11083-021-09571-6","DOIUrl":null,"url":null,"abstract":"<p><p>The critical relations are the building blocks of the relational clone of a relational structure with respect to the relational operations intersection and direct product. In this paper we describe the critical relations of crowns. As a consequence, we obtain that the subpower membership problem for any crown is polynomial-time solvable.</p>","PeriodicalId":74369,"journal":{"name":"Order (Dordrecht, Netherlands)","volume":"39 2","pages":"229-241"},"PeriodicalIF":0.0000,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s11083-021-09571-6","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Order (Dordrecht, Netherlands)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1007/s11083-021-09571-6","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"2021/7/7 0:00:00","PubModel":"Epub","JCR":"","JCRName":"","Score":null,"Total":0}
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Abstract
The critical relations are the building blocks of the relational clone of a relational structure with respect to the relational operations intersection and direct product. In this paper we describe the critical relations of crowns. As a consequence, we obtain that the subpower membership problem for any crown is polynomial-time solvable.
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