9 citations · 10 across the 4 of their papers we have counts for
8 papers
Symbolic powers of multipartite hypergraphs and Waldschmidt constant
A. Alilooee, A. Banerjee
In this paper, we find a criterion to answer when the second symbolic and ordinary powers of the edge ideal of a 3-partite hypergraph are equal. Also, we give the formula to comput…
Packing properties of cubic squarefree monomial ideals
Ali Alilooee, Arindam Banerjee
The symbolic powers, in general, are not equal to the ordinary powers. Therefore, one interesting question here is for what classes of ideals ordinary and symbolic powers coincide?…
Regularity of Powers of Unicyclic Graphs
Ali Alilooee, Selvi Kara, S. Selvaraja
Let be a finite simple graph and denote the corresponding edge ideal. In this paper we prove that if is a unicyclic graph then for all the regularity of $…
Generalized multiplicities of edge ideals
Ali Alilooee, Ivan Soprunov, Javid Validashti
We explore connections between the generalized multiplicities of square-free monomial ideals and the combinatorial structure of the underlying hypergraphs using methods of commutat…
Powers of edge ideals of regularity three bipartite graphs
Ali Alilooee, Arindam Banerjee
In this paper we prove that if is a bipartite edge ideal with regularity three then for all the regularity of is exactly .
When is a Squarefree Monomial Ideal of Linear Type ?
Ali Alilooee, Sara Faridi
In 1995 Villarreal gave a combinatorial description of the equations of Rees algebras of quadratic squarefree monomial ideals. His description was based on the concept of closed ev…
On the resolution of path ideals of cycles
Ali Alilooee, Sara Faridi
We give a formula to compute all the top degree graded Betti numbers of the path ideal of a cycle. Also we will find a criterion to determine when Betti numbers of this ideal are n…
Graded Betti numbers of path ideals of cycles and lines
Ali Alilooee, Sara Faridi
We use purely combinatorial arguments to give a formula to compute all graded Betti numbers of path ideals of line graphs and cycles. As a consequence we can give new and short pro…