Author

S. Pirzada

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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