TY - JOUR
AU - H`a, Huy T`ai
AU - Keiper, Graham
AU - Mahmood, Hasan
AU - O'Rourke, Jonathan L.
PY - 2022/02/24
Y2 - 2022/05/27
TI - Density of $f$-ideals and $f$-ideals in mixed small degrees
JF - MATHEMATICA SCANDINAVICA
JA - Math. Scand.
VL - 128
IS - 1
SE - Articles
DO - 10.7146/math.scand.a-129244
UR - https://www.mscand.dk/article/view/129244
SP -
AB - <p>A squarefree monomial ideal is called an $f$-ideal if its Stanleyâ€“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>
ER -