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arXiv · 2206.04913

Powers of the edge ideals and matchings in hypergraphs

Fahimeh Khosh-Ahang Ghasr
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Abstract

In this work, some combinatorial lower bound for regularity of powers of the edge ideal of a uniform hypergarph is gained. A family of hypergraphs whose regularity of edge ideal attains this bound and has a significant difference from the lower bounds heretofore obtained have also been introduced.

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Fahimeh Khosh-Ahang Ghasr. 2025-06-02. Powers of the edge ideals and matchings in hypergraphs. https://arxiv.org/abs/2206.04913

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