Lovász–Saks–Schrijver ideals and parity binomial edge ideals of graphs

A Kumar - European Journal of Combinatorics, 2021 - Elsevier
Let G be a simple graph on n vertices. Let LG and IG denote the Lovász–Saks–Schrijver
(LSS) ideal and parity binomial edge ideal of G in the polynomial ring S= K [x 1,…, xn, y 1 …

Local cohomology of binomial edge ideals and their generic initial ideals

J Àlvarez Montaner - Collectanea mathematica, 2020 - Springer
We provide a Hochster type formula for the local cohomology modules of binomial edge
ideals. As a consequence we obtain a simple criterion for the Cohen–Macaulayness and …

[HTML][HTML] Level and pseudo-Gorenstein binomial edge ideals

G Rinaldo, R Sarkar - Journal of Algebra, 2023 - Elsevier
Level and pseudo-Gorenstein binomial edge ideals - ScienceDirect Skip to main contentSkip to
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[PDF][PDF] Gorenstein binomial edge ideals

R González-Martínez - arXiv preprint arXiv:2102.11188, 2021 - arxiv.org
arXiv:2102.11188v1 [math.AC] 22 Feb 2021 Page 1 arXiv:2102.11188v1 [math.AC] 22 Feb
2021 GORENSTEIN BINOMIAL EDGE IDEALS RENÉ GONZÁLEZ-MARTÍNEZ Abstract. We …

Binomial edge ideals of unicyclic graphs

R Sarkar - International Journal of Algebra and Computation, 2021 - World Scientific
Let G be a connected graph on the vertex set [n]. Then depth (S/JG)≤ n+ 1. In this paper, we
prove that if G is a unicyclic graph, then the depth of S/JG is bounded below by n. Also, we …

[PDF][PDF] Recent results on homological properties of binomial edge ideal of graphs

P Das - arXiv preprint arXiv:2209.01201, 2022 - arxiv.org
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 …

On Algebraic Invariants Associated with Binomial Edge Ideals of Graphs

R Sarkar - 2021 - search.proquest.com
In this thesis, we study some of the algebraic invariants of a special class of binomial ideals,
namely, binomial edge ideals. Let G be a finite simple graph on the vertex set [n]:={1,…, n} …

Ideals generated by 2-minors: binomial edge ideals and polyomino ideals

C Mascia - 2020 - iris.unitn.it
Since the early 1990s, a classical object in commutative algebra has been the study of
binomial ideals. A widely-investigated class of binomial ideals is the one containing those …

Local cohomology of binomial edge ideals and their generic ideals

J Álvarez Montaner - 2019 - upcommons.upc.edu
We provide a Hochster type formula for the local cohomology modules of binomial edge
ideals. As a consequence we obtain a simple criterion for the Cohen-Macaulayness of these …

Local cohomology of binomial edge ideals and their generic ideals

JÀ Montaner - arXiv preprint arXiv:1901.08645, 2019 - arxiv.org
We provide a Hochster type formula for the local cohomology modules of binomial edge
ideals. As a consequence we obtain a simple criterion for the Cohen-Macaulayness of these …