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On the Depth of Generalized Binomial Edge Ideals
Mediterranean Journal of Mathematics15 pages, 5 figures.
Kamalesh Saha
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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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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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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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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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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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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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Parity binomial edge ideals [PDF]
Journal of Algebraic Combinatorics, 2015 21 pages, 3 figures, v2: minor problem in proof of Lemma 2.4 corrected, construction of Gr\"obner basis in Section 3 corrected, Example 5.1 replaced by Remark 5.1, final version as in Journal of Algebraic Combinatorics, v3: footnote to Lemma 3.8 ...
Tobias Windisch, Thomas Kahle
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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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Binomial Edge Ideals of Graphs [PDF]
The Electronic Journal of Combinatorics, 2012 We characterize all graphs whose binomial edge ideals have a linear resolution. Indeed, we show that complete graphs are the only graphs with this property. We also compute some graded components of the first Betti number of the binomial edge ideal of a graph with respect to the graphical terms.
Dariush Kiani, Sara Saeedi Madani
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