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Journal für die reine und angewandte Mathematik (Crelles Journal), 2023
Abstract We prove a conjecture by Ene, Herzog, and Hibi (2011) that the Betti numbers of the binomial edge ideal J G
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Abstract We prove a conjecture by Ene, Herzog, and Hibi (2011) that the Betti numbers of the binomial edge ideal J G
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Binomial Edge Ideals and Related Ideals
2018In this chapter we consider classes of binomial ideals which are naturally attached to finite simple graphs. The first of these classes are the binomial edge ideals. These ideals may also be viewed as ideals generated by a subset of 2-minors of a (2 × n)-matrix of indeterminates. Their Grobner bases will be computed.
Jürgen Herzog +2 more
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The v-Number of Binomial Edge Ideals
Acta Mathematica VietnamicazbMATH Open Web Interface contents unavailable due to conflicting licenses.
Siddhi Balu Ambhore +2 more
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Binomial Edge Ideals: A Survey
2018This is a survey paper on binomial edge ideals of graphs. We give an overview of various studied properties and invariants of those ideals, with special attention to their Grobner bases, primary decomposition and minimal graded free resolution.
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Cohen–Macaulay generalized binomial edge ideals
Journal of Algebra and Its ApplicationsLet [Formula: see text] be a simple graph on [Formula: see text] vertices and let [Formula: see text] be the generalized binomial edge ideal associated to [Formula: see text] in the polynomial ring [Formula: see text]. We classify the Cohen–Macaulay generalized binomial edge ideals.
Amata, Luca +2 more
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A reticular chemistry guide for the design of periodic solids
Nature Reviews Materials, 2021Hao Jiang +2 more
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