Shiya Duan

activity

20222024

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math.AC2023

The $\circ$ operation and $*$ operation of Cohen-Macaulay bipartite graphs

Yulong Yang, Guangjun Zhu, Yijun Cui +1

Let $G$ be a finite simple graph with the vertex set $V$ and let $I_{G}$ be its edge ideal in the polynomial ring $S = K [x_{V}]$ . In this paper, we compute the depth and the Cas…

math.AC2023

Integral closure and normality of edge ideals of some edge-weighted graphs

Shiya Duan, Guangjun Zhu, Yijun Cui +1

Let $G_{ω}$ be an edge-weighted simple graph. In this paper, we give a complete characterization of the graph $G_{ω}$ whose edge ideal $I (G_{ω})$ is integrally closed. We also show that…

The ∘ operation and ∗ operation of Cohen-Macaulay bipartite graphs

Integral closure and normality of edge ideals of some edge-weighted graphs

The $\circ$ operation and $*$ operation of Cohen-Macaulay bipartite graphs