Some Algorithmic Problems in Polytope Theory
Volker Kaibel, Marc E. Pfetsch
Abstract
This is a survey on algorithmic questions about combinatorial and geometric properties of convex polytopes. We give a list of 35 problems; for each the current state of knowledege on its theoretical complexity status is reported. The problems are grouped into the sections ``Coordinate Descriptions'', ``Combinatorial Structure'', ``Isomorphism'', ``Optimization'', ``Realizability'', and ``Beyond Polytopes''.
Create a lesson
Related papers
Counting with Hiccup Sequences
Benoit Cloitre
Degree similar and net-degree similar signed graphs
Matteo Cavaleri, Alfredo Donno
Clique and chromatic numbers of graph powers: spectral bounds and anticodes
Aida Abiad, Gabriel Coutinho, Hitesh Kumar et al.
Counting cographs in locally dense graphs
Hyunwoo Lee
Two-orbit right-angled Polytopes and Hypertopes
Claudio Alexandre Piedade, Philippe Tranchida
On the failure of additivity of inversion numbers for dijoins
Natalie Behague, Jack Cromwell