Monomial ideals, although intrinsically interesting, play an important role in studying the
connections between commutative algebra and combinatorics. Broadly speaking, problems …

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We focus in this paper on edge ideals associated to bipartite graphs and give a
combinatorial characterization of those having regularity 3. When the regularity is strictly …

We study the topology of the lcm-lattice of edge ideals and derive upper bounds on the
Castelnuovo–Mumford regularity of the ideals. In this context it is natural to restrict to the …

Given a finite simple graph, one can associate the edge ideal. In this article, we prove that a
graded Betti number of the edge ideal does not vanish if the original graph contains a set of …

Monomial ideals and algebras are among the simplest structures in commutative algebra
and the main objects in combinatorial commutative algebra. One can highlight several …

Given a set of forms f={f1,…, fm}⊂ R= k [x1,…, xn], where k is a field of characteristic zero,
we focus on the first syzygy module Z of the transposed Jacobian module D (f), whose …

For given positive integers n≥ d, a d-uniform clutter on a vertex set n= 1,..., n) is a collection
of distinct d-subsets of n. Let C be a d-uniform clutter on n. We may naturally associate an …

Full article: Cellular Structure on the Minimal Resolution of the Edge Ideal of the Complement
of the n-Cycle Skip to Main Content Taylor and Francis Online homepage Taylor and Francis …

We study the topology of the lcm-lattice of edge ideals and derive upper bounds on the
Castelnuovo-Mumford regularity of the ideals. In this context it is natural to restrict to the …