In the shadows of a hypergraph: looking for associated primes of powers of square-free monomial ideals
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DOI: 10.1007/s10801-019-00915-5
Abstract: The aim of this paper is to study the associated primes of powers of square-free monomial ideals. Each square-free monomial ideal corresponds uniquely to a finite simple hypergraph via the cover ideal construction, and vice… read more here.
Keywords: free monomial; hypergraph; associated primes; square free ... See more keywords
Associated primes of powers of edge ideals and ear decompositions of graphs
Sign Up to like & getrecommendations! Published in 2019 at "Transactions of the American Mathematical Society"
DOI: 10.1090/tran/7662
Abstract: In this paper, we give a complete description of the associated primes of every power of the edge ideal in terms of generalized ear decompositions of the graph. This result establishes a surprising relationship between… read more here.
Keywords: ear decompositions; powers edge; associated primes; ideals ear ... See more keywords