COHEN-MACAULAY GRAPHS

被引：223

作者：

VILLARREAL, RH

机构：

[1] Departamento de Matemáticas Escuela Superior de Física y Matemáticas, Instituto Politécnico Nacional, Unidad Adolfo López Mateos, México, 07300, D.F.

来源：

MANUSCRIPTA MATHEMATICA | 1990年 / 66卷 / 03期

关键词：

D O I：

10.1007/BF02568497

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a graph G we consider its associated ideal I(G). We uncover large classes of Cohen-Macaulay (=CM) graphs, in particular the full subclass of CM trees is presented. A formula for the Krull dimension of the symmetric algebra of I(G) is given along with a description of when this algebra is a domain. The first Koszul homology module of a CM tree is also studied. © 1990 Springer-Verlag.

引用

页码：277 / 293

页数：17

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