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arXiv · 2303.08160

The edge ideals of $\bf{t}$-spread $d$-partite hypergraphs

Aslı Musapaşaoğlu·Mehrdad Nasernejad·Ayesha Asloob Qureshi
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Abstract

Inspired by the definition of $\bf{t}$-spread monomial ideals, in this paper, we introduce $\bf{t}$-spread $d$-partite hypergraph $K^{\bf t}_V$ and study its edge ideal $I(K^{\bf t}_V)$. We prove that $I(K^{\bf t}_V)$ has linear quotients, all powers of $I(K^{\bf t}_V)$ have linear resolution and the Rees algebra of $I(K^{\bf t}_V)$ is a normal Cohen-Macaulay domain. It is also shown that $I(K^{\bf t}_V)$ is normally torsion-free and a complete characterization of Cohen-Macaulay $S/I(K^{\bf t}_V)$ is given.

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Aslı Musapaşaoğlu, Mehrdad Nasernejad, Ayesha Asloob Qureshi. 2023-03-22. The edge ideals of $\bf{t}$-spread $d$-partite hypergraphs. https://doi.org/10.1007/s13348-023-00410-y

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