Article ID Journal Published Year Pages File Type
4655362 Journal of Combinatorial Theory, Series A 2014 13 Pages PDF
Abstract
We disprove the conjecture by providing an infinite family of counterexamples. Furthermore, the smallest member of the family answers a question of Herzog and Hibi concerning the depth functions of square-free monomial ideals in polynomial rings, and a related question on the persistence property of such ideals.
Keywords
Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics
Preview
Replication in critical graphs and the persistence of monomial ideals
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