A lower bound for the simplexity of the \(n\)-cube via hyperbolic volumes

DOI10.1006/eujc.1999.0327zbMath0982.51015OpenAlexW2036203998MaRDI QIDQ1964654

Warren D. Smith

Publication date: 11 April 2002

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/eujc.1999.0327

zbMATH Keywords

triangulationhyperbolic volume\(n\)-cubeface-to-facevertex-triangulation

Mathematics Subject Classification ID

(n)-dimensional polytopes (52B11) Computational aspects related to convexity (52B55) Polyhedra and polytopes; regular figures, division of spaces (51M20)

Related Items (12)

Lattice Delone simplices with super-exponential volume ⋮ Products of foldable triangulations ⋮ Čech type approach to computing homology of maps ⋮ A Lower Bound Technique for Triangulations of Simplotopes ⋮ Asymptotically efficient triangulations of the \(d\)-cube ⋮ Lower bounds for the simplexity of the \(n\)-cube ⋮ What is known about unit cubes ⋮ Convex envelopes for edge-concave functions ⋮ On minimal triangulations of products of convex polygons ⋮ Solving mixed-integer nonlinear programmes using adaptively refined mixed-integer linear programmes ⋮ Properties, extensions and application of piecewise linearization for Euclidean norm optimization in \(\mathbb{R}^2\) ⋮ A polytopal generalization of Sperner's lemma

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