2 citations · 3 across the 4 of their papers we have counts for
8 papers
Hankel edge ideals of trees and (semi-)Hamiltonian graphs
Dariush Kiani, Sara Saeedi Madani, Saeed Tafazolian
In this paper, we study the Hankel edge ideals of graphs. We determine the minimal prime ideals of the Hankel edge ideal of labeled Hamiltonian and semi-Hamiltonian graphs, and we…
On the depth of binomial edge ideals of graphs
Mohammad Rouzbahani Malayeri, Sara Saeedi Madani, Dariush Kiani
Let be a graph on the vertex set and the associated binomial edge ideal in the polynomial ring . In this paper we inves…
Binomial edge ideals of small depth
Mohammad Rouzbahani Malayeri, Sara Saeedi Madani, Dariush Kiani
Let be a graph on and be the binomial edge ideal of in the polynomial ring . In this paper we investigate some topo…
A proof for a conjecture on the regularity of binomial edge ideals
M. Rouzbahani Malayeri, S. Saeedi Madani, D. Kiani
In this paper we introduce the concept of clique disjoint edge sets in graphs. Then, for a graph , we define the invariant as the maximum size of a clique disjoint edge s…
Matchings and squarefree powers of edge ideals
Nursel Erey, Jürgen Herzog, Takayuki Hibi +1
Squarefree powers of edge ideals are intimately related to matchings of the underlying graph. In this paper we give bounds for the regularity of squarefree powers of edge ideals, a…
Binomial edge ideals of regularity
Sara Saeedi Madani, Dariush Kiani
Let be the binomial edge ideal of a graph . We characterize all graphs whose binomial edge ideals, as well as their initial ideals, have regularity . Consequently we ch…