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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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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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On the depth of binomial edge ideals of graphs
Journal of Algebraic Combinatorics, 2022Dariush Kiani
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Depth and extremal Betti number of binomial edge ideals
Mathematische Nachrichten, 2020Arvind Kumar +2 more
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Hilbert Function of Binomial Edge Ideals
Communications in Algebra, 2014Fatemeh Mohammadi, Leila Sharifan
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Binomial Edge Ideals with Special Set of Associated Primes
Communications in Algebra, 2015Leila Sharifan
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Regularity of binomial edge ideals of Cohen-Macaulay bipartite graphs
Communications in Algebra, 2019Jayanthan A V +2 more
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