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 A class of edge ideals with regularity at most four Bull. Korean Math. Soc. 2018 Vol. 55, No. 6, 1749-1754 https://doi.org/10.4134/BKMS.b171029Published online September 5, 2018Printed November 30, 2018 Seyed Abbas Seyedmirzaei, Siamak Yassemi Islamic Azad (IAU), University of Tehran 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. Keywords : Castelnuovo-Mumford regularity, edge ideal MSC numbers : Primary 13D02, 13F55; Secondary 05E45 Downloads: Full-text PDF