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Binomial Edge Ideals: A Survey

2018
This 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.
openaire   +1 more source

Cohen–Macaulay generalized binomial edge ideals

Journal of Algebra and Its Applications
Let [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
openaire   +2 more sources

A proof for a conjecture on the regularity of binomial edge ideals

Journal of Combinatorial Theory - Series A, 2021
Mohammad Rouzbahani Malayeri   +2 more
exaly  

On the v-number of binomial edge ideals of some classes of graphs

International journal of algebra and computation
Deblina Dey   +2 more
semanticscholar   +1 more source

Binomial edge ideals and bounds for their regularity

Journal of Algebraic Combinatorics, 2020
Arvind Kumar
exaly  

On the regularity of binomial edge ideals

Mathematische Nachrichten, 2015
Viviana Ene
exaly  

The Castelnuovo–Mumford regularity of binomial edge ideals

Journal of Combinatorial Theory - Series A, 2016
Dariush Kiani, Sara Saeedi Madani
exaly  

Depth and extremal Betti number of binomial edge ideals

Mathematische Nachrichten, 2020
Arvind Kumar, Rajib Sarkar
exaly  

Regularity of binomial edge ideals of Cohen-Macaulay bipartite graphs

Communications in Algebra, 2019
Jayanthan A V, Arvind Kumar
exaly  

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