@article{H`a_Keiper_Mahmood_O’Rourke_2022, title={Density of $f$-ideals and $f$-ideals in mixed small degrees}, volume={128}, url={https://www.mscand.dk/article/view/129244}, DOI={10.7146/math.scand.a-129244}, abstractNote={<p>A squarefree monomial ideal is called an $f$-ideal if its Stanley–Reisner and facet simplicial complexes have the same $f$-vector. We show that $f$-ideals generated in a fixed degree have asymptotic density zero when the number of variables goes to infinity. We also provide novel algorithms to construct $f$-ideals generated in small degrees.</p>}, number={1}, journal={MATHEMATICA SCANDINAVICA}, author={H`a, Huy T`ai and Keiper, Graham and Mahmood, Hasan and O’Rourke, Jonathan L.}, year={2022}, month={Feb.} }