9 citations · 16 across the 17 of their papers we have counts for
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Edge ideals of gapfree graphs with matching number
Nursel Erey, Tài Huy Hà, Takayuki Hibi +2
We prove that if is a gapfree graph with matching number , then every power , , of its edge ideal has linear quotients, and hence a linear resolution. Our ap…
Graded Betti numbers of graded Möbius algebras of uniform matroids
Louiza Fouli, Sean Grate, Selvi Kara +5
Graded Möbius algebras were a key tool in the proof of the Dowling-Wilson Top Heavy Conjecture. They are commutative algebras whose Hilbert functions recover the Whitney numbers of…
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…
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…
Neural codes via homological invariants of polarized neural ideals
Selvi Kara, Ellie Lew
For a neural code , polarizing the canonical form generators of the neural ideal yields a squarefree monomial ideal $\mathcal{…
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…