The Coloring Ideal and Coloring Complex of a Graph

被引：0

作者：

Einar Steingrímsson

机构：

[1] Matematik CTH & GU,

来源：

Journal of Algebraic Combinatorics | 2001年 / 14卷

关键词：

chromatic polynomial; monomial ideal; simplicial complex; Stanley-Reisner ring; Hilbert polynomial; Euler characteristic; acyclic orientations;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Let G be a simple graph on d vertices. We define a monomial ideal K in the Stanley-Reisner ring A of the order complex of the Boolean algebra on d atoms. The monomials in K are in one-to-one correspondence with the proper colorings of G. In particular, the Hilbert polynomial of K equals the chromatic polynomial of G.

引用

页码：73 / 84

页数：11

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