{"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}
引用次数: 0
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.