On the reconstruction of polytopes

DOI10.1007/s00454-018-9997-9zbMath1407.52009arXiv1702.08739OpenAlexW2963693207MaRDI QIDQ1715999

Eran Nevo, Julien Ugon, Joseph Doolittle, David Yost, Guillermo Pineda-Villavicencio

Publication date: 29 January 2019

Published in: Discrete \& Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.08739

zbMATH Keywords

reconstructionsimple polytopeface lattice\(k\)-skeleton

Mathematics Subject Classification ID

Combinatorial properties of polytopes and polyhedra (number of faces, shortest paths, etc.) (52B05) Special polytopes (linear programming, centrally symmetric, etc.) (52B12)

Related Items

Reconstructibility of Matroid Polytopes ⋮ Minimum number of edges of polytopes with \(2d+2\) vertices ⋮ Polytopes close to being simple

Uses Software

• polymake

Cites Work

• Finding a simple polytope from its graph in polynomial time
• Puzzles and polytope isomorphisms
• A simple way to tell a simple polytope from its graph
• The almost simple cubical polytopes
• On the \(k\)-systems of a simple polytope
• Complete enumeration of small realizable oriented matroids
• Polytopes close to being simple
• Lectures on Polytopes
• Convex Polytopes
• The Excess Degree of a Polytope
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