{"title":"Cohen-Macaulay二部图顶点覆盖代数的Hilbert函数","authors":"Cristian Ion","doi":"10.35219/ann-ugal-math-phys-mec.2022.2.02","DOIUrl":null,"url":null,"abstract":"We study the h−vector and the Hilbert function of the vertex cover algebra (A)G, introduced and first studied by J. Herzog, T. Hibi and N. V. Trung ([6]), for a special class of bipartite graphs, namely for Cohen-Macaulay bipartite graphs.","PeriodicalId":43589,"journal":{"name":"Annals of the University Dunarea de Jos of Galati, Fascicle VI-Food Technology","volume":"52 1","pages":""},"PeriodicalIF":0.7000,"publicationDate":"2022-12-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On the Hilbert function of vertex cover algebras of Cohen-Macaulay bipartite graphs\",\"authors\":\"Cristian Ion\",\"doi\":\"10.35219/ann-ugal-math-phys-mec.2022.2.02\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We study the h−vector and the Hilbert function of the vertex cover algebra (A)G, introduced and first studied by J. Herzog, T. Hibi and N. V. Trung ([6]), for a special class of bipartite graphs, namely for Cohen-Macaulay bipartite graphs.\",\"PeriodicalId\":43589,\"journal\":{\"name\":\"Annals of the University Dunarea de Jos of Galati, Fascicle VI-Food Technology\",\"volume\":\"52 1\",\"pages\":\"\"},\"PeriodicalIF\":0.7000,\"publicationDate\":\"2022-12-12\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Annals of the University Dunarea de Jos of Galati, Fascicle VI-Food Technology\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.35219/ann-ugal-math-phys-mec.2022.2.02\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"FOOD SCIENCE & TECHNOLOGY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Annals of the University Dunarea de Jos of Galati, Fascicle VI-Food Technology","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.35219/ann-ugal-math-phys-mec.2022.2.02","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"FOOD SCIENCE & TECHNOLOGY","Score":null,"Total":0}
引用次数: 0
摘要
对于一类特殊的二部图,即Cohen-Macaulay二部图,我们研究了由J. Herzog, T. Hibi和N. V. Trung([6])首先提出并研究的顶点覆盖代数(A)G的h−向量和Hilbert函数。
On the Hilbert function of vertex cover algebras of Cohen-Macaulay bipartite graphs
We study the h−vector and the Hilbert function of the vertex cover algebra (A)G, introduced and first studied by J. Herzog, T. Hibi and N. V. Trung ([6]), for a special class of bipartite graphs, namely for Cohen-Macaulay bipartite graphs.