1 citations · 1 across the 1 of their papers we have counts for
3 papers
math.AC2015
Some Cohen-Macaulay and unmixed binomial edge ideals
Dariush Kiani, Sara Saeedi Madani
We study unmixed and Cohen-Macaulay properties of the binomial edge ideal of some classes of graphs. We compute the depth of the binomial edge ideal of a generalized block graph. W…
math.CO2015
Cohen-Macaulay and Gorenstein path ideals of trees
Sara Saeedi Madani, Dariush Kiani
Let , where is a field. The path ideal (of length ) of a directed graph is the monomial ideal, denoted by , whose generators cor…
math.AC2015★ 1 cited
The Castelnuovo-Mumford regularity of binomial edge ideals
Dariush Kiani, Sara Saeedi Madani
We prove a conjectured upper bound for the Castelnuovo-Mumford regularity of binomial edge ideals of graphs, due to Matsuda and Murai. Indeed, we prove that $\mathrm{reg}(J_G)\leq…