Gröbner basis and Krull dimension of Lovász-Saks-Sherijver ideal associated to a tree

Mohammad Farrokhi Derakhshandeh Ghouchan, Ali Akbar Yazdan Pour

Let $\mathbb{K}$ be a field and $n$ be a positive integer. Let $\Gamma =([n],E)$ be a simple graph, where $[n]=\{1,\dots ,n\}$. If $S=\mathbb{K}[x_1,\dots ,x_n,y_1,\dots ,y_n]$ is…