Historically, commutative algebra, whose foundations were laid by Dedekind, Hilbert,
Noether, and Krull, has developed in step with algebraic geometry, number theory …

The Castelnuovo–Mumford regularity of binomial edge ideals - ScienceDirect Skip to main
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We relate homological properties of a binomial edge ideal $\mathcal {J} _G $ to invariants
that measure the connectivity of a simple graph $ G $. Specifically, we show if $ R/\mathcal …

In this article, we obtain an upper bound for the Castelnuovo-Mumford regularity of powers
of an ideal generated by a homogeneous quadratic sequence in a polynomial ring in terms …

arXiv:1802.06020v1 [math.AC] 16 Feb 2018 Page 1 arXiv:1802.06020v1 [math.AC] 16 Feb
2018 ON THE EXTREMAL BETTI NUMBERS OF BINOMIAL EDGE IDEALS OF BLOCK …

We prove that the regularity of binomial edge ideals of graphs obtained by gluing two graphs
at a free vertex is the sum of the regularity of individual graphs. As a consequence, we …

Let JG be the binomial edge ideal of a graph G. We characterize all graphs whose binomial
edge ideals, as well as their initial ideals, have regularity 3. Consequently we characterize …

Let G be a graph on [n] and JG be the binomial edge ideal of G in the polynomial ring S= K [x
1,…, xn, y 1,…, yn]. In this paper we investigate some topological properties of a poset …

Let G be a finite simple graph on n vertices and JG denote the corresponding binomial edge
ideal in the polynomial ring S= K [x 1,…, xn, y 1,…, yn]. In this article, we compute the Hilbert …

Let G be a simple graph on the vertex set [n] and let JG be the corresponding binomial edge
ideal. Let G= v∗ H be the cone of v on H. In this article, we compute all the Betti numbers of …