The invariant v-number was introduced very recently in the study of Reed-Muller-type codes.
Jaramillo and Villarreal (J. Combin. Theory Ser. A 177: 105310,) initiated the study of the v …

This is a survey article featuring some of Wolmer Vasconcelos contributions to commutative
algebra, and explaining how Vasconcelos' work and insights have contributed to the …

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In this paper we prove the conjectured upper bound for Castelnuovo–Mumford regularity of
binomial edge ideals posed in 23, in the case of chordal graphs. Indeed, we show that the …

We show that under some conditions, if the initial ideal in _<(I) of an ideal I in a polynomial
ring has the property that its symbolic and ordinary powers coincide, then the ideal I shares …

In this paper, we investigate whether the symbolic and ordinary powers of a binomial edge
ideal JG are equal. We show that the equality JG t= JG (t) holds for every t≥ 1 when| Ass …

In this article, we study algebraic properties of binomial edge ideals of Levi graphs
associated with certain plane curve arrangements. Using combinatorial properties of Levi …

We associate to every graph a linear program for packings of vertex disjoint paths. We show
that the optimal primal and dual values of the corresponding integer program are the …

arXiv:2209.01201v3 [math.AC] 13 Jul 2023 Page 1 arXiv:2209.01201v3 [math.AC] 13 Jul 2023
RECENT RESULTS ON HOMOLOGICAL PROPERTIES OF BINOMIAL EDGE IDEAL OF …

A determinantal facet ideal (DFI) is generated by a subset of the maximal minors of a generic
n× m matrix where n≤ m indexed by the facets of a simplicial complex Δ. We consider the …