On the Diameter of Dual Graphs of Stanley-Reisner Rings and Hirsch Type Bounds on Abstractions of Polytopes

Electronic Journal Of Combinatorics

Brent Holmes¹ 

关键词: Simplicial complex;    Dual graph;    Stanley-Reisner ring;    Serre condition;    Hirsch Conjecture;    Polyhedra;   

DOI  :  

学科分类：离散数学和组合数学

来源: Electronic Journal Of Combinatorics

【 摘 要 】

Let $R$ be an equidimensional commutative Noetherian ring of positive dimension. The dual graph $\mathcal{G} (R)$ of $R$ is defined as follows: the vertices are the minimal prime ideals of $R$, and the edges are the pairs of prime ideals $(P_1,P_2)$ with

【 授权许可】

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