@article{Cruz2022GorensteinHS,
title={Gorenstein homogeneous subrings of graphs},
author={Lourdes Cruz and Enrique Reyes and Jonathan Toledo},
journal={Journal of Algebra and Its Applications},
year={2022}
}

Let G = (V, E) be a connected simple graph, with n vertices such that S is its homogeneous monomial subring. We prove that if S is normal and Gorenstein, then G is unmixed with cover number ⌈n 2 ⌉ and G has a strong ⌈n 2 ⌉-τ -reduction. Furthermore, if n is even, then we show that G is bipartite. Finally, if S is normal and G is unmixed whose cover number is ⌈n 2 ⌉, we give sufficient conditions for S to be Gorenstein.

Let C be a clutter and let A be its incidence matrix. If the linear system x ≥ 0; x A ≤ 1 has the integer rounding property, we give a description of the canonical module and the a-invariant of… Expand

The aim of this paper is to study integer rounding properties of various systems of linear inequalities to gain insight about the algebraic properties of Rees algebras of monomial ideals and monomial… Expand

ContentsIntroductionChapter I. Affine toric varieties § 1. Cones, lattices, and semigroups § 2. The definition of an affine toric variety § 3. Properties of toric varieties § 4. Differential forms on… Expand

espanolEn esta nota nosotros presentamos una caracterizacion combinatoria de todos los grafos bipartitos no-mezcladas. \keywords{Grafos no-mezclados, cubrimiento de vertices minimo, grafos… Expand