Matchings and Squarefree Powers of Edge Ideals

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Date
2019-11-11MFO Scientific Program
Research in Pairs 2019Series
Oberwolfach Preprints;2019,25Author
Erey, Nursel
Herzog, Jürgen
Hibi, Takayuki
Saeedi Madani, Sara
Metadata
Show full item recordOWP-2019-25
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.