{"title":"同构的分级部分有序集合的类数","authors":"David A. Klarner","doi":"10.1016/S0021-9800(70)80094-1","DOIUrl":null,"url":null,"abstract":"<div><p>This note is a continuation of [2]; we describe here how to enumerate classes of isomorphic graded posets defined on a finite set. Perhaps the most interesting aspect of the results presented here is that the enumeration of these complex structures can be carried out in the algebra of formal power series.</p></div>","PeriodicalId":100765,"journal":{"name":"Journal of Combinatorial Theory","volume":"9 4","pages":"Pages 412-419"},"PeriodicalIF":0.0000,"publicationDate":"1970-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S0021-9800(70)80094-1","citationCount":"6","resultStr":"{\"title\":\"The number of classes of isomorphic graded partially ordered sets\",\"authors\":\"David A. Klarner\",\"doi\":\"10.1016/S0021-9800(70)80094-1\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>This note is a continuation of [2]; we describe here how to enumerate classes of isomorphic graded posets defined on a finite set. Perhaps the most interesting aspect of the results presented here is that the enumeration of these complex structures can be carried out in the algebra of formal power series.</p></div>\",\"PeriodicalId\":100765,\"journal\":{\"name\":\"Journal of Combinatorial Theory\",\"volume\":\"9 4\",\"pages\":\"Pages 412-419\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1970-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/S0021-9800(70)80094-1\",\"citationCount\":\"6\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Combinatorial Theory\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0021980070800941\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Combinatorial Theory","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0021980070800941","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The number of classes of isomorphic graded partially ordered sets
This note is a continuation of [2]; we describe here how to enumerate classes of isomorphic graded posets defined on a finite set. Perhaps the most interesting aspect of the results presented here is that the enumeration of these complex structures can be carried out in the algebra of formal power series.
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