Normal Polytopes Arising from Finite Graphs

Journal of Algebra

Volumn 207, Issue 2, 1998, Pages 409-426

  Ohsugi, Hidefumi ^a   Hibi, Takayuki ^a  

^a OSAKA UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000125768     PISSN: 00218693     EISSN: None     Source Type: Journal    
DOI: 10.1006/jabr.1998.7476     Document Type: Article

References (8)

1. Bruns W., Herzog J. Cohen-Macaulay Rings. 1993;Cambridge Univ. Press, Cambridge/New York/Sydney.
2. Fulkerson D. R., Hoffman A. J., McAndrew M. H. Some properties of graphs with multiple edges. Canad. J. Math. 17:1965;166-177.
3. Hibi T. Algebraic Combinatorics on Convex Polytopes. 1992;Carslaw, Glebe.
4. H. Ohsugi, T. Hibi, A normal (0, 1)-polytope none of whose regular triangulations is unimodular, Discrete Comput. Geom.
5. Simis A., Vasconcelos W. V., Villarreal R. H. On the ideal theory of graphs. J. Algebra. 167:1994;389-416.
6. Stanley R. P. A zonotope associated with graphical degree sequences. Gritzmann P., Sturmfels B. Applied Geometry and Discrete Mathematics. DIMACS Ser. Discrete Math. Theoret. Comput. Sci. 4:1991;555-570 Am. Math. Soc. Providence.
7. Sturmfels B. Gröbner Bases and Convex Polytopes. 1995;Am. Math. Soc. Providence.
8. Simis A., Vasconcelos W. V., Villarreal R. H. The integral closure of subrings associated to graphs. J. Algebra. 199:1998;281-289.