DOAJ Open Access 2020

Almost simplicial polytopes: the lower and upper bound theorems

Eran Nevo Guillermo Pineda-Villavicencio Julien Ugon David Yost

Lihat Sumber DOI

Abstrak

this is an extended abstract of the full version. We study n-vertex d-dimensional polytopes with at most one nonsimplex facet with, say, d + s vertices, called almost simplicial polytopes. We provide tight lower and upper bounds for the face numbers of these polytopes as functions of d, n and s, thus generalizing the classical Lower Bound Theorem by Barnette and Upper Bound Theorem by McMullen, which treat the case s = 0. We characterize the minimizers and provide examples of maximizers, for any d.

Topik & Kata Kunci

Mathematics

Penulis (4)

Eran Nevo

Guillermo Pineda-Villavicencio

Julien Ugon

David Yost

Format Sitasi

APA MLA BibTeX

Nevo, E., Pineda-Villavicencio, G., Ugon, J., Yost, D. (2020). Almost simplicial polytopes: the lower and upper bound theorems. https://doi.org/10.46298/dmtcs.6369

Akses Cepat

Lihat di Sumber doi.org/10.46298/dmtcs.6369

Informasi Jurnal

Tahun Terbit: 2020
Sumber Database: DOAJ
DOI: 10.46298/dmtcs.6369
Akses: Open Access ✓