Cohen-Macaulay admissible clutters
Cohen-Macaulay admissible clutters
There is a one-to-one correspondence between square-free monomial ideals and clutters, which are also known as simple hypergraphs.In [14] it was conjectured that unmixed admissible clutters were Cohen-Macaulay.We prove that the conjecture is true for uniform clutters of heights 2 and 3, i.e., if the smallest cardinality of a minimal …