대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제55권6호
  • /
  • Pages.1749-1754
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  • 2018
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  • 1015-8634(pISSN)
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  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
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A CLASS OF EDGE IDEALS WITH REGULARITY AT MOST FOUR

  • 투고 : 2017.11.25
  • 심사 : 2018.07.20
  • 발행 : 2018.11.30
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초록

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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참고문헌

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