Bull. Korean Math. Soc. 2018; 55(6): 1749-1754
Online first article September 5, 2018 Printed November 30, 2018
https://doi.org/10.4134/BKMS.b171029
Copyright © The Korean Mathematical Society.
Seyed Abbas Seyedmirzaei, Siamak Yassemi
Islamic Azad (IAU), University of Tehran
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.
Keywords: Castelnuovo-Mumford regularity, edge ideal
MSC numbers: Primary 13D02, 13F55; Secondary 05E45
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