133
Views
6
CrossRef citations to date
0
Altmetric
Original Articles

On the index of powers of edge ideals

, &
Pages 1080-1095 | Received 07 Sep 2015, Published online: 18 Jul 2017

References

  • Banerjee, A. (2015). The regularity of powers of edge ideals. J. Algebraic Combin. 41:303–321.
  • Bruns, W., Conca, A., Römer, T. (2011). Koszul homology and syzygies of Veronese subalgebras. Math. Ann. 351: 761–779.
  • Chandler, K. A. (1997). Regularity of the powers of an ideal. Commun. Algebra 25:3773–3776.
  • Chardin, M. (2013). Powers of Ideals: Betti Numbers, Cohomology and Regularity, Commutative algebra. New York: Springer, pp. 317–333.
  • Conca, A. (2006). Regularity Jumps for Powers of Ideals, Commutative algebra, Lecture Notes in Pure and Applied Mathematics, Vol. 244. Boca Raton, Florida: Chapman & Hall/CRC, pp. 21–32.
  • Cutkosky, D., Herzog, J., Trung, N. V. (1999). Asymptotic behaviour of the Castelnuovo-Mumford regularity. Compos. Math. 118:243–261.
  • Dao, H., Huneke, C., Schweig, J. (2013). Bounds on the regularity and projective dimension of ideals associated to graphs. J. Algebraic Combin. 38:37–55.
  • Eisenbud, D., Green, M., Hulek, K., Popescu, S. (2005). Restricting linear syzygies: Algebra and geometry. Compos. Math. 141:1460–1478.
  • Gasharov, V., Peeva, I., Welker, V. (1999). The lcm-lattice in monomial resolutions. Math. Res. Lett. 6:521–532.
  • Green, M. L., Lazarsfeld, R. (1986). On the projective normality of complete linear series on an algebraic curve. Invent. Math. 83:73–90.
  • Green, M. L., Lazarsfeld, R. (1988). Some results on the syzygies of finite sets and algebraic curves. Compos. Math. 67:301–314.
  • Herzog, J., Hibi, T. (2011). Monomial Ideals, Graduate Text in Mathematics. London: Springer.
  • Herzog, J., Hibi, T. (2005). The depth of powers of an ideal. J. Algebra 291:534–550.
  • Herzog, J., Hibi, T., Zheng, X. (2004). Dirac’s theorem on chordal graphs and Alexander duality. Eur. J. Combin. 25:949–960.
  • Herzog, J., Hibi, T., Zheng, X. (2004). Monomial ideals whose powers have a linear resolution. Math. Scand. 95:23–32.
  • Herzog, J., Welker, V. (2011). The Betti polynomials of powers of an ideal. J. Pure Appl. Algebra 215:589–596.
  • Nevo, E. (2011). Regularity of edge ideals of C4-free graphs via the topology of the l cm-lattice. J. Combin. Theory Ser. A 118:491–501.
  • Nevo, E., Peeva, I. (2013). C4-free edge ideals. J. Algebraic Combin. 37:243–248.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.