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The best ways to slice a polytope

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Publication:6657200
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DOI10.1090/mcom/4006MaRDI QIDQ6657200

Chiara Meroni, Marie-Charlotte Brandenburg, Jesús A. De Loera

Publication date: 6 January 2025

Published in: Mathematics of Computation (Search for Journal in Brave)



zbMATH Keywords

volumepolytopeshyperplane arrangementshyperplane sectionscombinatorial types of polytopesextremal problems on polytopesintegration over polyhedral regionsoptimal slices


Mathematics Subject Classification ID

(n)-dimensional polytopes (52B11) Computational aspects related to convexity (52B55) Combinatorial optimization (90C27) Inequalities and extremum problems involving convexity in convex geometry (52A40) Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35) Length, area, volume and convex sets (aspects of convex geometry) (52A38) Semialgebraic sets and related spaces (14P10) Combinatorial complexity of geometric structures (52C45)








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