Connected ideals of chordal graphs
Connected ideals of chordal graphs
For $t\geq 2$, the $t$-independence complex of a graph $G$ is the collection of all $A\subseteq V(G)$ such that each connected component of the induced subgraph $G[A]$ has at most $t-1$ vertices. The Stanley-Reisner ideal $I_{t}(G)$ of the $t$-independence complex of $G$, called $t$-connected ideal, is generated by monomials in …