D. Yost

activity

20152021

most citedLower bound theorems for general polytopes

14 citations · 19 across the 11 of their papers we have counts for

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Showing 2017 · math.COShow all

2 papers · 2 filters

math.CO2017★ 2 cited

The excess degree of a polytope

Guillermo Pineda-Villavicencio, Julien Ugon, David Yost

We define the excess degree $ξ (P)$ of a $d$ -polytope $P$ as $2 f_{1} - d f_{0}$ , where $f_{0}$ and $f_{1}$ denote the number of vertices and edges, respectively. This parameter measures how mu…

math.CO2017

On the reconstruction of polytopes

Joseph Doolittle, Eran Nevo, Guillermo Pineda-Villavicencio +2

Blind and Mani, and later Kalai, showed that the face lattice of a simple polytope is determined by its graph, namely its $1$ -skeleton. Call a vertex of a $d$ -polytope \emph{nonsim…