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arXiv · 1909.11420

Matchings and squarefree powers of edge ideals

Nursel Erey·Jürgen Herzog·Takayuki Hibi·Sara Saeedi Madani
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Abstract

Squarefree powers of edge ideals are intimately related to matchings of the underlying graph. In this paper we give bounds for the regularity of squarefree powers of edge ideals, and we consider the question of when such powers are linearly related or have linear resolution. We also consider the so-called squarefree Ratliff property.

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Nursel Erey, Jürgen Herzog, Takayuki Hibi, Sara Saeedi Madani. 2019-09-25. Matchings and squarefree powers of edge ideals. https://arxiv.org/abs/1909.11420

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