Advanced search
Publication Cover
Communications in Algebra Volume 47, 2019 - Issue 4
Submit an article Journal homepage
170
Views
6
CrossRef citations to date
0
Altmetric
Original Articles

Graded Betti numbers of crown edge ideals

Shahnawaz Ahmad RatherDepartment of Mathematics, Central University of Jammu, Rahya-Suchani(Bagla), Samba, J&K, IndiaCorrespondence[email protected]
&
Pavinder SinghDepartment of Mathematics, Central University of Jammu, Rahya-Suchani(Bagla), Samba, J&K, India
Pages 1690-1698 | Received 05 May 2018, Accepted 30 Jul 2018, Published online: 20 Feb 2019

References

  • Alilooee, A., Faridi, S. (2015). On the resolutions of path ideals of cycles. Commun. Algebra 43:5413–5433.
  • Barile, M. (2005). On ideals whose radical is a monomial ideal. Commun. Algebra 33:4479–4490.
  • Grayson, D., Stillman, M. E. Macaulay 2, a software system for research in algebraic geometry, Available at: http://www.math.uiuc.edu/Macaulay2/.
  • Hà, H. T., Van Tuyl, A. (2008). Monomial ideals, edge ideals of hypergraphs, and their graded Betti numbers. J. Algebraic Combin. 27:215–245.
  • Hà, H. T., Van Tuyl, A. (2007). Resolutions of square-free monomial ideals via facet ideals: a survey. In: Algebra, geometry and their intersections, Contemporary Mathematics, Vol. 448. Providence, RI: American Mathematical Society, pp. 215–245.
  • Hà, H. T., Woodroofe, R. (2014). Results on the regularity of square-free monomial ideals. Adv. Appl. Math. 58:21–36.
  • Hochster, M. (1975). Cohen-Macaulay rings, combinatorics, and simplicial complexes. Ring theory II (Proc. Second Conf., Univ. Oklahoma, Norman, Okla.), 171–223.
  • Jacques, S. Betti numbers of graph idelas, Ph.D. thesis, University of Sheffield, Great Britain.
  • Jacques, S., Katzman, M. The Betti numbers of forests, preprint, math. AC/0501226v2.
  • Katzman, M. (2006) Characteristic-independence of Betti numbers of graph ideals, J. Combin. Theory Ser. A 113:435–454.
  • Kummini, M. (2009). Regularity, depth and arithmetic rank of bipartite edge ideals. J. Algebraic Combin. 30:429–445.
  • Mahmoudi, M., Mousivand, A., Crupi, M., Rinaldo, G., Terai, N., Yassemi, S. (2011). Vertex decomposability and regularity of very well-covered graphs. J. Pure Appl. Algebra 215:2473–2480.
  • Morey, S., Villarreal, R. H. (2012). Edge ideals: algebraic and combinatorial properties. Progress Commut. Algebr. 1:85–126.
  • Rather, S. A., Singh, P. (2018). On Betti numbers of edge ideals of crown graphs. Beitr Algebra Geom.
  • Villarreal, R. H. (1995). Rees algebras of edge ideals. Commun. Algebra 23:3513–3524.
  • Zheng, X. (2004). Resolutions of facet ideals. Commun. Algebr. 32:2301–2324.

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:

Order Reprints Request Corporate Permissions

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:

Request Academic Permissions

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.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.