Density of $f$-ideals and $f$-ideals in mixed small degrees
| Autor: | HÀ, Huy TÀi, Keiper, Graham, Mahmood, Hasan, O'Rourke, Jonathan L. |
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| Rok vydání: | 2022 |
| Předmět: | |
| Zdroj: | MATHEMATICA SCANDINAVICA. 128 |
| ISSN: | 1903-1807 0025-5521 |
| DOI: | 10.7146/math.scand.a-129244 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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