NORMAL 0-1 POLYTOPES

作者：Huy Tai Ha^*; Kuei Nuan Lin

来源：SIAM Journal on Discrete Mathematics, 2015, 29(1): 210-223.

DOI：10.1137/130948240

• Ehrhart ring
• polytopal ring
• toric ring
• normal
• squarefree monomial ideals
• hypergraphs
• polytopes

We study the question of when 0-1 polytopes are normal or, equivalently, have the integer decomposition property. In particular, we shall associate to each 0-1 polytope a labeled hypergraph, and examine the equality between its Ehrhart and polytopal rings via the combinatorial structures of the labeled hypergraph.

• 出版日期2015