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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 proof for a conjecture on the regularity of binomial edge ideals
Journal of Combinatorial Theory - Series A, 2021Mohammad Rouzbahani Malayeri +2 more
exaly
On the v-number of binomial edge ideals of some classes of graphs
International journal of algebra and computationDeblina Dey +2 more
semanticscholar +1 more source
DEPTH OF BINOMIAL EDGE IDEALS IN TERMS OF DIAMETER AND VERTEX CONNECTIVITY
Journal of Commutative AlgebraA. V. Jayanthan, Rajib Sarkar
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Binomial edge ideals and bounds for their regularity
Journal of Algebraic Combinatorics, 2020Arvind Kumar
exaly
The Castelnuovo–Mumford regularity of binomial edge ideals
Journal of Combinatorial Theory - Series A, 2016Dariush Kiani, Sara Saeedi Madani
exaly
Depth and extremal Betti number of binomial edge ideals
Mathematische Nachrichten, 2020Arvind Kumar, Rajib Sarkar
exaly
Regularity of binomial edge ideals of Cohen-Macaulay bipartite graphs
Communications in Algebra, 2019Jayanthan A V, Arvind Kumar
exaly

