7 citations · 8 across the 7 of their papers we have counts for
5 papers · 1 filter
Castelnuovo-Mumford regularity of generalized binomial edge ideals of graphs
Dariush Kiani, Sara Saeedi Madani, Guangjun Zhu
In this paper, we mainly study the Castelnuovo-Mumford regularity of the generalized binomial edge ideals of graphs. We show that this number can be any integer number from to…
Induced matchings in strongly biconvex graphs and some algebraic applications
Sara Saeedi Madani, Dariush Kiani
In this paper, motivated by a question posed in \cite{AH}, we introduce strongly biconvex graphs as a subclass of weakly chordal and bipartite graphs. We give a linear time algorit…
Regularity of binomial edge ideals of chordal graphs
M. Rouzbahani Malayeri, S. Saeedi Madani, D. Kiani
In this paper we prove the conjectured upper bound for Castelnuovo-Mumford regularity of binomial edge ideals posed in [23], in the case of chordal graphs. Indeed, we show that the…
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…
Algebraic properties of ideals of poset homomorphisms
Martina Juhnke-Kubitzke, Lukas Katthän, Sara Saeedi Madani
Given finite posets and , we consider a specific ideal , whose minimal monomial generators correspond to order-preserving maps . We study algebraic…