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.

中文翻译：

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边缘理想的匹配和无平方幂

边理想的 Squarefree 幂与底层图的匹配密切相关。在本文中，我们给出了边缘理想平方自由幂的规律性的界限，并考虑了这些幂何时线性相关或具有线性分辨率的问题。我们还考虑了所谓的 squarefree Ratliff 属性。