|Saturday 20 October 2018|
|Events for day: Thursday 25 October 2018|
| 9:30 - 10:30 Combinatorial Commutative Algebra Weekly Seminar|
T-Clique Ideal of a Graph
For any positive integer $t$ and any finite simple graph $G$, we associate a monomial ideal to $G$ whose minimal generators correspond to cliques of $G$ of cardinality $t$ and call it the $t$-clique ideal of $G$. It generalizes the edge ideal notion in some sense, since the edge ideal of $G$ can be seen as a $2$-clique ideal. We investigate some algebraic properties of this ideal and generalize some results on edge ideals to t-clique ideals. ...