Advanced search
Publication Cover
Communications in Algebra Volume 48, 2020 - Issue 10
Submit an article Journal homepage
56
Views
4
CrossRef citations to date
0
Altmetric
Articles

On quasi-equigenerated and Freiman cover ideals of graphs

Benjamin DrabkinDepartment of Mathematics, University of Nebraska – Lincoln, Lincoln, Nebraska, USA; Correspondence[email protected]
View further author information
&
Lorenzo GuerrieriDipartimento di Matematica e Informatica, Università di Catania, Catania, ItalyView further author information
Pages 4413-4435 | Received 03 Oct 2019, Accepted 16 Apr 2020, Published online: 12 Jun 2020

References

  • Earl, J., Vander Meulen, K. N., Van Tuyl, A. (2016). Independence complexes of well-covered circulant graphs. Exp. Math. 25(4):441–451. DOI: 10.1080/10586458.2015.1091753.
  • Eisenbud, D., Goto, S. (1984). Linear free resolutions and minimal multiplicity. J. Algebra 88(1):89–133. DOI: 10.1016/0021-8693(84)90092-9.
  • Eliahou, S., Herzog, J., Saem, M. M. (2018). Monomial ideals with tiny squares. J. Algebra 514:99–112. DOI: 10.1016/j.jalgebra.2018.07.037.
  • Freiman, G. A. (1973). Foundations of a Structural Theory of Set Addition. Translations of Mathematical Monographs, Vol. 37. Providence, RI: Amer. Math. Soc.
  • Heinzer, W., Kim, M. (2003). Properties of the fiber cone of ideals in local rings. Commun. Algebra 31(7):3529–3546. DOI: 10.1081/AGB-120022240.
  • Herzog, J., Hibi, T., Zhu, G. (2019). The relevance of Freiman’s theorem for combinatorial commutative algebra. Math. Z. 291(3–4):999–1014. DOI: 10.1007/s00209-018-2200-4.
  • Herzog, J., Mohammadi Saem, M., Zamani, N. (2019). The number of generators of powers of an ideal. Int. J. Algebra Comput. 29(5):827–847. DOI: 10.1142/S0218196719500309.
  • Herzog, J., Zhu, G. (2019). Freiman ideals. Commun. Algebra 47(1):407–423. DOI: 10.1080/00927872.2018.1477948.
  • Herzog, J., Hibi, T. (2011). Monomial Ideals. Graduate Texts in Mathematics, Vol. 260. London: Springer-Verlag London, Ltd.
  • Herzog, J., Hibi, T., Trung, N. V. (2007). Symbolic powers of monomial ideals and vertex cover algebras. Adv. Math. 210(1):304–322. DOI: 10.1016/j.aim.2006.06.007.
  • Rinaldo, G. (2018). Some algebraic invariants of edge ideal of circulant graphs. Bull. Math. Soc. Sci. Math. Roumanie. Nouvelle Serie, Tome 61. 109(1):85–95.
  • Vander Meulen, K. N., Van Tuyl, A., Watt, C. (2014). Cohen-Macaulay circulant graph. Commun. Algebra 42(5):1896–1910. DOI: 10.1080/00927872.2012.749886.
  • Van Tuyl, A. (2013). A beginner’s guide to edge and cover ideals. In: Bigatti, A., Gimenez, P., Sáenz-de-Cabezón, E., eds. Monomial Ideals, Computations and Applications. Lecture Notes Math., Vol. 2083. Berlin, Heidelberg: Springer, pp. 63–94.
  • Villarreal, R. H. (1990). Cohen-Macaulay graphs. Manuscr. Math. 66(1):277–293. DOI: 10.1007/BF02568497.

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.