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<p>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.</p>

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Powers of the Edge Ideals and Matchings in Hypergraphs

  • 期刊论文

  • 发表日期：

    2025年7月31日

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  • Fahimeh Khosh-Ahang Ghasr

摘要

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.