5 papers
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…
Algebraic Invariants of Edge Ideals Under Suspension
Selvi Kara, Dalena Vien
The central question of this paper is: how do algebraic invariants of edge ideals change under natural graph operations? We study this question through the lens of suspensions. The…
Realizable (reg, deg h)-Pairs for Cover Ideals via Independence Polynomials
Jennifer Biermann, Trung Chau, Selvi Kara +4
Let be a finite simple graph on vertices and set , with edge ideal and cover ideal . We give an explicit description of the -polynom…