Density of $f$-ideals and $f$-ideals in mixed small degrees
نویسندگان
چکیده
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 asymptotic density zero when number of variables goes to infinity. also provide novel algorithms construct small degrees.
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ژورنال
عنوان ژورنال: Mathematica Scandinavica
سال: 2022
ISSN: ['0025-5521', '1903-1807']
DOI: https://doi.org/10.7146/math.scand.a-129244