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A class of edge ideals with regularity at most four
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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.
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.
참고문헌 (12)
- S. Beyarslan, "Regularity of powers of forests and cycles", J. Algebraic Combin, 42(4), pp.1077~1095 (2015)
- S. D. Cutkosky, "Asymptotic behaviour of the Castelnuovo-Mumford regularity", Compositio Math, 118(3), pp.243~261 (1999)
- H. Dao, "Bounds on the regularity and projective dimension of ideals associated to graphs", J. Algebraic Combin, 38(1), pp.37~55 (2013)
- R. Froberg, "Topics in algebra, Part 2", pp.57~70 (1990), PWN
- I. Gitler, "Bounds for invariants of edge-rings", Comm. Algebra, 33(5), pp.1603~1616 (2005)
- H. T. Ha, "Monomial ideals, edge ideals of hypergraphs, and their graded Betti numbers", J. Algebraic Combin, 27(2), pp.215~245 (2008)
- M. Kummini, "Regularity, depth and arithmetic rank of bipartite edge ideals", J. Algebraic Combin, 30(4), pp.429~445 (2009)
- M. Moghimian, "Regularity of powers of edge ideal of whiskered cycles", Comm. Algebra, 45(3), pp.1246~1259 (2017)
- E. Nevo, "Regularity of edge ideals of C4-free graphs via the topology of the lcm-lattice", J. Combin. Theory Ser. A, 118(2), pp.491~501 (2011)
- S. A. Seyed Fakhari, "Depth, Stanley depth, and regularity of ideals associated to graphs", Arch. Math. (Basel), 107(5), pp.461~471 (2016)
- S. A. Seyed Fakhari, "Improved bounds for the regularity of edge ideals of graphs", Collect. Math, 69(2), pp.249~262 (2018)
- R. Woodroofe, "Matchings, coverings, and Castelnuovo-Mumford regularity", J. Commut. Algebra, 6(2), pp.287~304 (2014)
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