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Showing 2004 · math.ACShow all
3 papers · 2 filters
math.AC2004
The depth of powers of an ideal
Juergen Herzog, Takayuki Hibi
We study the limit and initial behavior of the numerical function $f(k)=\depth S/I^k$. General properties of this function together with concrete examples arising from combinatoric…
math.AC2004★ 2 cited
Cohen-Macaulay Polymatroidal Ideals
Juergen Herzog, Takayuki Hibi
All Cohen--Macaulay polymatroidal ideals are classified. The Cohen--Macaulay polymatroidal ideals are precisely the principal ideals, the Veronese ideals, and the squarefree Verone…
math.AC2004★ 8 cited
Cohen-Macaulay chordal graphs
Juergen Herzog, Takayuki Hibi, Xinxian Zheng
We classify all Cohen-Macaulay chordal graphs. In particular. it is shown that a chordal graph is Cohen-Macaulay if and only if its unmixed.