4 papers
The normalized depth function of squarefree powers
Nursel Erey, Jürgen Herzog, Takayuki Hibi +1
The depth of squarefree powers of a squarefree monomial ideal is introduced. Let be a squarefree monomial ideal of the polynomial ring . The -th squaref…
Diameter and connectivity of finite simple graphs
Takayuki Hibi, Sara Saeedi Madani
Let be a finite simple non-complete connected graph on and its vertex connectivity. Let denote the number of free vertices of and $\…
A note on the regularity of Hibi rings
Viviana Ene, Jürgen Herzog, Sara Saeedi Madani
We compute the regularity of the Hibi ring of any finite distributive lattice in terms of its poset of join irreducible elements.
Binomial edge ideals with pure resolutions
Dariush Kiani, Sara Saeedi Madani
We characterize all graphs whose binomial edge ideals have pure resolutions. Moreover, we introduce a new switching of graphs which does not change some algebraic invariants of gra…