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A CLASS OF EDGE IDEALS WITH REGULARITY AT MOST FOUR

  • Received : 2017.11.25
  • Accepted : 2018.07.20
  • Published : 2018.11.30

Abstract

If a graph G is both claw-free and gap-free, then E. Nevo showed that the Castelnuovo-Mumford regularity of the associated edge ideal I(G) is at most three. Later Dao, Huneke and Schwieg gave a simpler proof of this result. In this paper we introduce a class of edge ideals with Castelnuovo-Munmford regularity at most four.

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