A study on binomial edge ideals

Official URL: https://risc01.sabanciuniv.edu/record=b2583851_(Table of contents)

In this thesis, we study the binomial edge ideals associated with graphs. We review their reduced Gröber basis and minimal primary decompositions. Moreover, we also give an overview of recent results related to the depth, betti numbers, and regularity of binomial edge ideals arising from di erent classes of simple graphs.