REFERENCES
- Bahiano , C. ( 2004 ). Symbolic powers of edge ideals . J. Algebra 273 : 517 – 537 .
- Bruns , W. , Herzog , J. ( 1997 ). Cohen–Macaulay Rings . Cambridge : Cambridge University Press, Revised Edition .
- Brodmann , M. ( 1979 ). The asymptotic nature of the analytic spread . Math. Proc. Cambridge Philos Soc. 86 : 35 – 39 .
- Burch , L. ( 1972 ). Codimension and analytic spread . Proc. Cambridge Philos. Soc. 72 : 369 – 373 .
- Chen , J. , Morey , S. , Sung , A. ( 2002 ). The stable set of associated primes of the ideal of a graph . Rocky Mountain J. Math. 32 : 71 – 89 .
- Dalili , K. , Faridi , S. , Traves , W. ( 2008 ). The reconstruction conjecture and edge ideals . Discrete Math. 308 : 2002 – 2010 .
- Eisenbud , D. , Huneke , C. ( 1983 ). Cohen–Macaulay Rees algebras and their specializations . J. Algebra 81 : 202 – 224 .
- Francisco , C. , Ha , H. T. , Van Tuyl , A. Associated primes of monomial ideals and odd holes in graphs . To appear in J. Algebraie Combin.
- Gitler , I. , Valencia , C. ( 2005 ). Bounds for invariants of edge rings . Comm. Algebra 33 : 1603 – 1616 .
- Grayson , D. R. , Stillman , M. E. Macaulay 2, a software system for research in algebraic geometry. http://www.math.uiuc.edu/Macaulay2/ Accessed September 20, 2010.
- Hà , H. T. , Morey , S. ( 2010 ). Embedded associated primes of powers of square-free monomial ideals . J. Pure Appl. Algebra 214 : 301 – 308 .
- Herzog , J. , Hibi , T. ( 2005 ). The depth of powers of an ideal . J. Algebra 291 : 534 – 550 .
- Hochster , M. ( 1972 ). Rings of invariants of tori, Cohen–Macaulay rings generated by monomials, and polytopes . Ann. of Math. 96 : 318 – 337 .
- Huneke , C. ( 1982 ). On the associated graded ring of an ideal . Illinois J. Math. 26 : 121 – 137 .
- Kummini , M. ( 2009 ). Regularity, depth and arithmetic rank of bipartite edge ideals . J. Algebarie Combin. 30 : 429 – 445 .
- Matsumura , H. ( 1986 ). Commutative Ring Theory . Cambridge Studies in Advanced Math. 8 , Cambridge : Cambridge University Press .
- Simis , A. , Vasconcelos , W. V. , Villarreal , R. H. ( 1994 ). On the ideal theory of graphs . J. Algebra 167 : 389 – 416 .
- Villarreal , R. H. ( 2001 ). Monomial Algebras . Monographs and Textbooks in Pure and Applied Mathematics , Vol. 238. New York : Marcel Dekker, Inc .
- Villarreal , R. H. ( 1995 ). Rees algebras of edge ideals . Comm. Algebra 23 : 3513 – 3524 .
- Vasconcelos , W. V. ( 1994 ). Arithmetic of Blowup Algebras . London Math. Soc. , Lecture Note Series Vol. 195. Cambridge : Cambridge University Press .
- Communicated by R. Villarreal.