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math.AC2015
The linear strand of determinantal facet ideals
Jürgen Herzog, Dariush Kiani, Sara Saeedi Madani
Let be an -matrix of indeterminates, and let be the ideal generated by a set of maximal minors of . We construct the linear strand of the reso…
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…