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Original Articles

On the Arithmetical Rank of the Edge Ideals of Forests

Pages 4678-4703 | Received 23 Jan 2007, Published online: 12 Dec 2008

REFERENCES

  • Barile , M. ( 2006a ). A note on monomial ideals . Arch. Math. (Basel) 87 : 516 – 521 .
  • Barile , M. ( 2006b ). A note on the edge ideals of Ferrers graphs . Preprint. Submitted .
  • Corso , A. , Nagel , U. ( 2006 ). Monomial and toric ideals associated to Ferrers graphs . To appear in Trans. Amer. Math. Soc .
  • Hà , T. H. , van Tuyl , A. ( 2006 ). Monomial ideals, edge ideals of hypergraphs, and their minimal graded free resolutions . Preprint .
  • Jacques , S. ( 2004 ). Betti Numbers of Graph Ideals . Ph.D. thesis , University of Sheffield , Great Britain .
  • Jacques , S. , Katzman , M. ( 2005 ). The Betti numbers of forests . Preprint .
  • Lyubeznik , G. ( 1984 ). On the local cohomology modules for ideals  generated by monomials in an R-sequence . In: Greco , S. , Strano , R. , eds. Complete Intersections . Lectures given at the 1st 1983 Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) , Acireale, Italy , June 13–21, 1983 ; Berlin-Heidelberg : Springer , pp. 214 – 220 .
  • Schmitt , Th. , Vogel , W. (1979). Note on set-theoretic intersections of subvarieties of projective space. Math.Ann. 245:247–253.
  • Simis , A. , Vasconcelos , W. , Villarreal , R. ( 1994 ). On the ideal theory of graphs . J.Algebra 167 : 389 – 416 .
  • Terai , N. ( 2002 ). On almost complete intersection monomial ideals . In: Dai 24 Kai Kakan-Kanron Sinpojiumu Houkokushu (Proceedings of the 24th Commutative Algebra Symposium) . Osaka , Japan , pp. 142 – 150 .
  • Terai , N. ( 2003 ). Arithmetical rank of monomial ideals . In: Dai 25 Kai Kakan-Kanron Sinpojiumu Houkokushu (Proceedings of the 25th Commutative Algebra Symposium) . Tokyo , Japan , pp. 99 – 105 .
  • Villarreal , R. ( 1990 ). Cohen–Macaulay graphs . Manuscripta Math. 66 : 277 – 293 .
  • Communicated by R. H. Villarreal.

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