Author

M. Aijaz

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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