Yijun Cui

activity

20212025

collaborators

Showing 2021Show all

3 papers · 1 filter

math.AC2021

The facet ideals of matching complexes of line graphs

Guangjun Zhu, Hong Wang, Yijun Cui

Let $L_{n}$ be a line graph with $n$ edges and $\F(L_n)$ the facet ideal of its matching complex. In this paper, we provide the irreducible decomposition of $\F(L_n)$ and some exact…

math.AC2021

Freiman $t$ -spread principal Borel ideals

Guangjun Zhu, Yakun Zhao, Yijun Cui

An equigenerated monomial ideal $I$ is a Freiman ideal if $μ (I^{2}) = ℓ (I) μ (I) - (2 ℓ ( I ))$ where $ℓ (I)$ is the analytic spread of $I$ and $μ (I)$ is the least number of mo…

math.AC2021

Freiman cover ideals of unmixed bipartite graphs

Guangjun Zhu, Yakun Zhao, Yijun Cui

An equigenerated monomial ideal $I$ in the polynomial ring $R = k [z_{1}, \dots, z_{n}]$ is a Freiman ideal if $μ (I^{2}) = ℓ (I) μ (I) - (2 ℓ ( I ))$ where $ℓ (I)$ is the analytic spre…

The facet ideals of matching complexes of line graphs

Freiman t-spread principal Borel ideals

Freiman cover ideals of unmixed bipartite graphs

Freiman $t$ -spread principal Borel ideals