On the universal Gröbner bases of toric ideals of graphs

Journal of Combinatorial Theory. Series A

Volumn 118, Issue 5, 2011, Pages 1540-1548

  Tatakis, Christos ^a   Thoma, Apostolos ^a  

^a UNIVERSITY OF IOANNINA   (Greece)

Author keywords

Graphs; Graver basis; Term orders; Toric ideals; Toric varieties; Universal Gr bner bases

Indexed keywords

EID: 79551617780     PISSN: 00973165     EISSN: 10960899     Source Type: Journal    
DOI: 10.1016/j.jcta.2011.01.005     Document Type: Article

References (11)

1. Bogart T., Hemmecke R., Petrović S. Equality of Graver bases and universal Gröbner bases of colored partition identities arxiv:1004.0840v2.
2. De Loera J., Sturmfels B., Thomas R. Gröbner bases and triangulations of the second hypersimplex. Combinatorica 1995, 15(3):409-424.
3. S. Hosten, Degrees of Gröbner bases of integer programs, PhD thesis, Cornell University, 1997.
4. Ohsugi H., Hibi T. Toric ideals generated by quadratic binomials. J. Algebra 1999, 218:509-527.
5. Petrović S. On the universal Gröbner bases of varieties of minimal degree. Math. Res. Lett. 2008, 15:1211-1223.
6. Reyes E., Tatakis Ch., Thoma A. Minimal generators of toric ideals of graphs arxiv:1002.2045.
7. Schwartz N. Stability of Gröbner bases. J. Pure Appl. Algebra 1988, 53:171-186.
8. Sturmfels B. Gröbner Bases and Convex Polytopes. Univ. Lecture Ser. 1995, vol. 8. American Mathematical Society, Providence, RI.
9. Sturmfels B. Equations defining toric varieties. Algebraic Geometry 1997, 437-449. American Mathematical Society, Providence, RI.
10. Villarreal R. Rees algebras of edge ideals. Comm. Algebra 1995, 23:3513-3524.
11. Weispfenning V. Constructing universal Gröbner Bases. Springer Lecture Notes in Comput. Sci. 1987, vol. 356:408-417.