Binomial edge ideals and conditional independence statements

@article{Herzog2010BinomialEI,
  title={Binomial edge ideals and conditional independence statements},
  author={J{\"u}rgen Herzog and Takayuki Hibi and Freyja Hreinsd{\'o}ttir and Thomas Kahle and Johannes Rauh},
  journal={Adv. Appl. Math.},
  year={2010},
  volume={45},
  pages={317-333}
}
Binomial Edge Ideals and Related Ideals
In 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
Generalized binomial edge ideals
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The cut sets of a graph are special sets of vertices whose removal disconnects the graph. They are fundamental in the study of binomial edge ideals, since they encode their minimal primary
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Algebraic properties of the binomial edge ideal of a complete bipartite graph
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We make some observations on binomial edge ideals, with the characterization of their Koszulness as motivation. Inspired by results of Ene, Herzog and Hibi, we discuss building Koszul graphs from
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