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Smoothness in Binomial Edge Ideals [PDF]
Mathematics, 2016 In this paper we study some geometric properties of the algebraic set associated to the binomial edge ideal of a graph. We study the singularity and smoothness of the algebraic set associated to the binomial edge ideal of a graph. Some of these algebraic
Hamid Damadi, Farhad Rahmati
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Multidegrees of binomial edge ideals [PDF]
Communications in AlgebraLet $G$ be a simple graph with binomial edge ideal $J_G$. We prove how to calculate the multidegree of $J_G$ based on combinatorial properties of $G$. In particular, we study the set $S_{\min}(G)$ defined as the collection of subsets of vertices whose prime ideals have minimum codimension.
Cooper, Jacob, Leventhal, Ethan
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The regularity of binomial edge ideals of graphs [PDF]
AUT Journal of Mathematics and Computing, 2020 In this paper, we study the Castelnuovo-Mumford regularity and the graded Betti numbers of the binomial edge ideals of some classes of graphs. Our special attention is devoted to a conjecture which asserts that the number of maximal cliques of a graph ...
Sara Saeedi Madani, Dariush Kiani
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Gorenstein binomial edge ideals [PDF]
Mathematische Nachrichten, 2021 AbstractWe classify connected graphs G whose binomial edge ideal is Gorenstein. In our proofs we use Frobenius type techniques and F‐pure thresholds.
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Licci binomial edge ideals [PDF]
Journal of Combinatorial Theory - Series A, 2020 We give a complete characterization of graphs whose binomial edge ideal is licci. An important tool is a new general upper bound for the regularity of binomial edge ideals.
Viviana Ene +2 more
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Forum of Mathematics, SigmaThe study of Koszul binomial edge ideals was initiated by V. Ene, J. Herzog, and T. Hibi in 2014, who found necessary conditions for Koszulness. The binomial edge ideal $J_G$ associated to a finite simple graph G is always generated by quadrics ...
Adam LaClair +3 more
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Hilbert series of binomial edge ideals [PDF]
Communications in Algebra, 2019 13 pages, 2 images, typo error corrected, Accepted in Comm ...
Arvind Kumar +2 more
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Regularity and h-polynomials of Binomial Edge Ideals [PDF]
Acta Mathematica Vietnamica, 2021 6 pages. Conjecture 0.1 has been deleted.
Takayuki Hibi, Kazunori Matsuda
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A proof for a conjecture on the regularity of binomial edge ideals [PDF]
Journal of Combinatorial Theory - Series A, 2021 8 pages, 3 ...
Dariush Kiani +2 more
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The Castelnuovo–Mumford regularity of binomial edge ideals
Journal of Combinatorial Theory - Series A, 2016 arXiv admin note: substantial text overlap with arXiv:1310 ...
Dariush Kiani, Sara Saeedi Madani
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