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Matematicheskie Zametki, 2021, Volume 110, Issue 3, paper published in the English version journal (Mi mzm13028)  
This article is cited in 2 scientific papers (total in 2 papers)

Papers published in the English version of the journal

Freiman Cover Ideals of Unmixed Bipartite Graphs

Guangjun Zhu, Yakun Zhao, Yijun Cui

School of Mathematical Sciences, Soochow University, Suzhou, 215006 China
Citations (2)
Abstract: An equigenerated monomial ideal $I$ in the polynomial ring $R=k[z_1,\ldots, z_n]$ is a Freiman ideal if $\mu(I^2)=\ell(I)\mu(I)-{\ell(I)\choose 2}$, where $\ell(I)$ is the analytic spread of $I$ and $\mu(I)$ is the number of minimal the generators of $I$. In this paper we classify all simple connected unmixed bipartite graphs whose cover ideals are Freiman ideals.
Keywords: Hibi ideals, cover ideals of graphs, unmixed bipartite graphs, Cohen–Macaulay bipartite graphs.
Funding agency Grant number
National Natural Science Foundation of China 11271275
Priority Academic Program Development of Jiangsu Higher Education Institutions
This research is supported by the National Natural Science Foundation of China (No. 11271275) and by foundation of the Priority Academic Program Development of Jiangsu Higher Education Institutions.
Received: 01.02.2021
English version:
Mathematical Notes, 2021, Volume 110, Issue 3, Pages 440–448
DOI: https://doi.org/10.1134/S0001434621090121
Bibliographic databases:
Document Type: Article
Language: English
Citation: Guangjun Zhu, Yakun Zhao, Yijun Cui, “Freiman Cover Ideals of Unmixed Bipartite Graphs”, Math. Notes, 110:3 (2021), 440–448
Citation in format AMSBIB
\Bibitem{GuaYakYij21}
\by Guangjun~Zhu, Yakun Zhao, Yijun Cui
\paper Freiman Cover Ideals of Unmixed Bipartite Graphs
\jour Math. Notes
\yr 2021
\vol 110
\issue 3
\pages 440--448
\mathnet{http://mi.mathnet.ru/mzm13028}
\crossref{https://doi.org/10.1134/S0001434621090121}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85118201149}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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