TY - JOUR
T1 - Sequentially Cohen–Macaulay binomial edge ideals of closed graphs
AU - Ene, Viviana
AU - Rinaldo, Giancarlo
AU - Terai, Naoki
N1 - Funding Information:
The third author was supported by the JSPS Grant-in Aid for Scientific Research (C) 18K03244.
Publisher Copyright:
© 2022, The Author(s), under exclusive licence to Springer Nature Switzerland AG.
PY - 2022/9
Y1 - 2022/9
N2 - In this paper, we provide a full combinatorial characterization of sequentially Cohen–Macaulay binomial edge ideals of closed graphs. In addition, we show that a binomial edge ideal of a closed graph is approximately Cohen–Macaulay if and only if it is almost Cohen–Macaulay.
AB - In this paper, we provide a full combinatorial characterization of sequentially Cohen–Macaulay binomial edge ideals of closed graphs. In addition, we show that a binomial edge ideal of a closed graph is approximately Cohen–Macaulay if and only if it is almost Cohen–Macaulay.
KW - Approximately Cohen–Macaulay ideals
KW - Binomial edge ideals
KW - Closed graphs
KW - Sequentially Cohen–Macaulay ideals
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U2 - 10.1007/s40687-022-00334-2
DO - 10.1007/s40687-022-00334-2
M3 - Article
AN - SCOPUS:85133248635
SN - 2522-0144
VL - 9
JO - Research in Mathematical Sciences
JF - Research in Mathematical Sciences
IS - 3
M1 - 39
ER -