11 papers
Depth of edge ideals and vertex connectivity of finite graphs
Takayuki Hibi, Seyed Amin Seyed Fakhari
Let be a finite graph on and its vertex connectivity. Let denote the polynomial ring in variables over a field a…
Symmetric and unimodal independence polynomials of trees
Takayuki Hibi, Selvi Kara, Dalena Vien
Given , we study the existence of a tree on vertices whose independence polynomial is symmetric and unimodal as well as the existence of a symmetric and unimodal inde…
Independence polynomials of graphs
Takayuki Hibi, Selvi Kara, Dalena Vien
In this paper, we study the independence polynomial of a finite simple graph , with emphasis on the evaluation at , symmetry, and its connection with the -poly…
Pseudo-Gorenstein Graphs
Takayuki Hibi, Selvi Kara, Dalena Vien
Motivated by pseudo-Gorenstein rings in commutative algebra, introduced by Herzog et al., we define pseudo-Gorenstein graphs and classify them in several natural graph famili…
Cohen-Macaulay squares of edge ideals
Sara Faridi, Takayuki Hibi
Let be a finite graph and its edge ideal. We give a full description of the Stanley--Reisner complex of the polarization of , naturally introducing the tools of…
Scarf complexes of graphs and their powers
Sara Faridi, TÃ i Huy HÃ, Takayuki Hibi +1
Every multigraded free resolution of a monomial ideal I contains the Scarf multidegrees of I. We say I has a Scarf resolution if the Scarf multidegrees are sufficient to describe a…