Matchings and Squarefree Powers of Edge Ideals

Öffnen
Datum
2019-11-11MFO Scientific Program
Research in Pairs 2019Serie
Oberwolfach Preprints;2019,25Autor
Erey, Nursel
Herzog, Jürgen
Hibi, Takayuki
Saeedi Madani, Sara
Metadata
Zur LanganzeigeOWP-2019-25
Zusammenfassung
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.