Author

S. Pirzada

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Preprint Sep 2026

Binomial edge ideals of bipartite complements of even cycles

Let $G_n$ be the bipartite complement of the even cycle $C_{2n}$, and let $J_{G_n}$ be its binomial edge ideal. For $n\geq5$, we study the interaction between the combinatorial structure of $G_n$ and the algebraic invariants of $S_{G_n}/J_{G_n}$. Our main combinatorial ingredient is a classification of the subsets of $...

Shahnawaz Ahmad Rather, S. Pirzada, M. Aijaz · 0 citations

Preprint Sep 2026

Homological invariants of Edge Ideals associated to powers of cycles

Let $G_{n,m}=\overline{\C_n^{[m]}}$, where $\C_n^{[m]}$ denotes the closed $m$th power of the $n$-cycle. We study the graded Betti numbers and homological invariants of the edge ring of $G_{n,m}$ in the range $n\geq 3m+1$. These graphs form a natural family for the study of edge rings whose regularity can be compared e...

Shahnawaz Ahmad Rather, S. Pirzada, M. Aijaz · 1 citation · ⚡1

Aug 2026

On Graded Betti Numbers of Edge Rings of Certain Families of Graphs

Graphs whose edge rings have regularity two are not completely characterized. We, therefore, study the minimal graded free resolution of edge rings of certain families of graphs, such as the general barbell graph [Formula: see text] (or [Formula: see text]-barbell graph) and the complete [Formula: see text]-sunlet grap...

Shahnawaz Ahmad Rather, S. Pirzada · Algebra Colloquium · 0 citations