On a partition of a convex polytope into simplexes without new vertices
type: Item
instance of: scholarly article
title: On a partition of a convex polytope into simplexes without new vertices
zbMATH Open document ID: 0935.52012
author: V. N. Shevchenko
published in: Russian Mathematics
publication date: 2000-05-10T00:00:00Z
review text: The author considers the \(f\)-vectors (sequences of numbers of faces) of triangulations of convex (particularly simplicial) polytopes which use only their vertices. However, much of what is proved here is already known, or easily deduced from earlier results. For example, the relationships among numbers of interior and boundary faces are dealt with by the reviewer and \textit{D. W. Walkup} [Mathematika, Lond. 18, 264-273 (1971; Zbl 0233.52003)], and triangulations of cyclic polytopes have been extensively investigated in recent years. The translation from the Russian is also infelicitous, and uses terms foreign to the subject (``adjacentive'' for ``neighbourly'' is an especially horrible instance).
Mathematics Subject Classification ID: 52B05
zbMATH DE Number: 1274199
zbMATH Keywords: polytope
zbMATH Keywords: triangulation
zbMATH Keywords: \(f\)-vector
reviewed by: Peter McMullen
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1274199