A geometrization of Stanley–Reisner theory
FS de Salas, AT Sancho - Journal of Pure and Applied Algebra, 2024 - Elsevier
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Bounds on regularity of quadratic monomial ideals
G Blekherman, J Jung - Journal of Combinatorial Theory, Series A, 2020 - Elsevier
Castelnuovo-Mumford regularity is a measure of algebraic complexity of an ideal. Regularity
of monomial ideals can be investigated combinatorially. We use a simple graph …
of monomial ideals can be investigated combinatorially. We use a simple graph …
Density of -ideals and -ideals in mixed small degrees
HT Ha, G Keiper, H Mahmood, JL O'Rourke - arXiv preprint arXiv …, 2020 - arxiv.org
A squarefree monomial ideal is called an $ f $-ideal if its Stanley-Reisner and facet
simplicial complexes have the same $ f $-vector. We show that $ f $-ideals generated in a …
simplicial complexes have the same $ f $-vector. We show that $ f $-ideals generated in a …
Characterizing Unmixed Trees with Respect to Total Domination and PMU Covers
J Gossell - 2021 - search.proquest.com
One of the fundamental connections between commutative algebra and graph theory is the
relationship between edge ideals and minimal vertex covers of a graph. Let G=(V, E) be a …
relationship between edge ideals and minimal vertex covers of a graph. Let G=(V, E) be a …
[引用][C] Binomial edge ideals over an exterior algebra
I Peeva - MATHEMATICA SCANDINAVICA, 2023 - mscand.dk
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