Symmetrization of closure operators and visibility

DOI10.1007/s00026-005-0267-1zbMath1099.06003OpenAlexW1965359861MaRDI QIDQ818919

Walter Wenzel, Horst Martini

Publication date: 22 March 2006

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

Full work available at URL: https://doi.org/10.1007/s00026-005-0267-1

zbMATH Keywords

closure operatorconvex setmatroidvisibility problemillumination problem

Mathematics Subject Classification ID

Partial orders, general (06A06) Combinatorial aspects of matroids and geometric lattices (05B35) Galois correspondences, closure operators (in relation to ordered sets) (06A15) Convex sets without dimension restrictions (aspects of convex geometry) (52A05)

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Starshapedness vs. convexity ⋮ Illuminating and covering convex bodies ⋮ Transformation and decomposition of clutters into matroids ⋮ Generating a staircase starshaped set and its kernel in \({{\mathbb R}^3}\) from certain staircase convex subsets ⋮ Generating a staircase starshaped set from a minimal collection of its subsets ⋮ Visibility and diameter maximization of convex bodies

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