AN INCLUSION–EXCLUSION IDENTITY FOR NORMAL CONES OF POLYHEDRAL SETS

DOI10.1112/S0025579317000390zbMath1390.52019arXiv1612.07915MaRDI QIDQ4604493

Daniel Hug, Zakhar Kabluchko

Publication date: 26 February 2018

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.07915

zbMATH Keywords

normal conepolyhedral setinclusion-exclusion identity

Mathematics Subject Classification ID

(n)-dimensional polytopes (52B11) Spherical and hyperbolic convexity (52A55) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (2)

An identity for the coefficients of characteristic polynomials of hyperplane arrangements ⋮ A new valuation on polyhedral cones

Cites Work

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• Recurrence relationships for the mean number of faces and vertices for random convex hulls
• Normal fans of polyhedral convex sets
• Linear optimization and extensions.
• Intrinsic volumes of polyhedral cones: a combinatorial perspective
• Inclusion-exclusion principles for convex hulls and the Euler relation
• Introduction to Piecewise Differentiable Equations
• Stochastic and Integral Geometry
• An Euler-Type Version of the Local Steiner Formula for Convex Bodies
• Normal Maps Induced by Linear Transformations
• Non-linear angle-sum relations for polyhedral cones and polytopes
• Lectures on Polytopes
• Combinatorial identities for polyhedral cones
• Convex Bodies The Brunn-MinkowskiTheory
• Identities linking volumes of convex hulls

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