Classes of graphs that are not Cohen–Macaulay classes

• Date: 2025
• Main Authors: Asir, T., Ashitha, T.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2025
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/8093
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 512.5 Characterizations of the classes of Cohen–Macaulay graphs are important because when we characterize one of these classes, then we can decide whether a ring of the form $\mathbb{K}[x_1,\ldots,x_n]/I$ is Cohen–Macaulay or not, where $I$ is a square-free monomial ideal.  For a given commutat...