Local h-Vectors of Quasi-Geometric and Barycentric Subdivisions
| Autor(en): | Juhnke-Kubitzke, Martina Murai, Satoshi Sieg, Richard |
Stichwörter: | -vector; 05A05; 05E45; Barycentric subdivision; Computer Science; Computer Science, Theory & Methods; Local h-vector; Mathematics; Quasi-geometric subdivision | Erscheinungsdatum: | 2019 | Herausgeber: | SPRINGER | Enthalten in: | DISCRETE & COMPUTATIONAL GEOMETRY | Band: | 61 | Ausgabe: | 2 | Startseite: | 364 | Seitenende: | 379 | Zusammenfassung: | In this paper, we answer two questions on local h-vectors, which were asked by Athanasiadis. First, we characterize all possible local h-vectors of quasi-geometric subdivisions of a simplex. Second, we prove that the local -vector of the barycentric subdivision of any CW-regular subdivision of a simplex is nonnegative. Along the way, we derive a new recurrence formula for the derangement polynomials. |
ISSN: | 01795376 | DOI: | 10.1007/s00454-018-9986-z |
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