A generalization of Eagon-Reiner's theorem and a characterization of bi-CMt bipartite and chordal graphs

作者：Haghighi Hassan; Fakhari Seyed Amin Seyed; Yassemi Siamak; Zaare Nahandi Rahim^*

来源：Communications in Algebra, 2018, 46(9): 3889-3898.

DOI：10.1080/00927872.2018.1427244

• Bipartite graph
• chordal graph
• Cohen-Macaulay complex
• CMt complex
• Eagon-Reiner theorem

We give a generalization of Eagon-Reiner's theorem relating Betti numbers of the Stanley-Reisner ideal of a simplicial complex and the CMt property of its Alexander dual. Then we characterize bi-CMt bipartite graphs and bi-CMt chordal graphs. These are generalizations of recent results due to Herzog and Rahimi.

• 出版日期2018