Symbolic Rees algebras, vertex covers and irreducible representations of Rees cones

• Published in: Algebra and Discrete Mathematics
• Date: 2010
• Main Authors: Dupont, L.D., Villarreal, R.H.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2010
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/154873
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Symbolic Rees algebras, vertex covers and irreducible representations of Rees cones / L.A. Dupont, R.H. Villarreal // Algebra and Discrete Mathematics. — 2010. — Vol. 10, № 2. — С. 64–86. — Бібліогр.: 30 назв. — англ.

Let G be a simple graph and let Ic(G) be its ideal of vertex covers. We give a graph theoretical description of the irreducible b-vertex covers of G, i.e., we describe the minimal generators of the symbolic Rees algebra of Ic(G). Then we study the irreducible b-vertex covers of the blocker of G, i.e...