Jiawen Shan

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20212026

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-Lie algebras

3 citations · 3 across the 5 of their papers we have counts for

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math.AC2026

Homology of non-matching complexes under edge additions and applications to their Stanley-Reisner ideals

Jiawen Shan, Zexin Wang

For a bipartite graph $G$ and an integer $t \geq 2$ , let $\NM_t(G)$ be its $t$ -non-matching complex. We prove that adding an edge while preserving bipartiteness induces an injection…

math.AC2024

Multiplicity of powers of path ideals of a line graph

Jiawen Shan, Zexin Wang, Dancheng Lu

Let $S = K [x_{1}, \dots, x_{n}]$ and let $I$ be the $t$ -path ideal of the line graph $L_{n}$ with $n$ -vertices. It is shown that the set of associated prime ideals of $I^{s}$ is equal to the…

math.AC2023

Regularity of powers of path ideals of line graphs

Jiawen Shan, Dancheng Lu

Let $L_{n}$ be a line graph with $n$ vertices and let $I$ be its $t$ -path ideal. It is shown that $I^{s}$ has a linear resolution for some $s \geq 1$ (or equivalently for all $s \geq 1$ )…