- S. Beyarslan, H. T. Ha, and T. N. Trung, Regularity of powers of forests and cycles, J. Algebraic Combin. 42 (2015), no. 4, 1077-1095.
- S. D. Cutkosky, J. Herzog, and N. V. Trung, Asymptotic behaviour of the Castelnuovo-Mumford regularity, Compositio Math. 118 (1999), no. 3, 243-261. https://doi.org/10.1023/A:1001559912258
- H. Dao, C. Huneke, and J. Schweig, Bounds on the regularity and projective dimension of ideals associated to graphs, J. Algebraic Combin. 38 (2013), no. 1, 37-55. https://doi.org/10.1007/s10801-012-0391-z
- R. Froberg, On Stanley-Reisner rings, in Topics in algebra, Part 2 (Warsaw, 1988), 57-70, Banach Center Publ., 26, Part 2, PWN, Warsaw, 1990.
- I. Gitler and C. E. Valencia, Bounds for invariants of edge-rings, Comm. Algebra 33 (2005), no. 5, 1603-1616. https://doi.org/10.1081/AGB-200061033
- H. T. Ha and A. Van Tuyl, Monomial ideals, edge ideals of hypergraphs, and their graded Betti numbers, J. Algebraic Combin. 27 (2008), no. 2, 215-245. https://doi.org/10.1007/s10801-007-0079-y
- M. Kummini, Regularity, depth and arithmetic rank of bipartite edge ideals, J. Algebraic Combin. 30 (2009), no. 4, 429-445. https://doi.org/10.1007/s10801-009-0171-6
- M. Moghimian, S. A. S. Fakhari, and S. Yassemi, Regularity of powers of edge ideal of whiskered cycles, Comm. Algebra 45 (2017), no. 3, 1246-1259. https://doi.org/10.1080/00927872.2016.1175605
E. Nevo, Regularity of edge ideals of
$C_4$-free graphs via the topology of the lcm-lattice, J. Combin. Theory Ser. A 118 (2011), no. 2, 491-501. https://doi.org/10.1016/j.jcta.2010.03.008
- S. A. Seyed Fakhari, Depth, Stanley depth, and regularity of ideals associated to graphs, Arch. Math. (Basel) 107 (2016), no. 5, 461-471. https://doi.org/10.1007/s00013-016-0965-4
- S. A. Seyed Fakhari and S. Yassemi, Improved bounds for the regularity of edge ideals of graphs, Collect. Math. 69 (2018), no. 2, 249-262. https://doi.org/10.1007/s13348-017-0204-8
- R. Woodroofe, Matchings, coverings, and Castelnuovo-Mumford regularity, J. Commut. Algebra 6 (2014), no. 2, 287-304. https://doi.org/10.1216/JCA-2014-6-2-287