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Paper   IPM / M / 16952
School of Mathematics
  Title:   Matchings and squarefree powers of edge ideals
  Author(s):  Sara Saeedi Madani (Joint with N. Erey, J. Herzog, and T. Hibi)
  Status:   To Appear
  Journal: J. Combin. Theory Ser. A
  Supported by:  IPM
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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