Acta Mathematica Vietnamica
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Powers of the Edge Ideals and Matchings in Hypergraphs
Fahimeh Khosh-Ahang Ghasr
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.