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math.AC2026
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…
math.AC2026
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…
math.AC2026
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…