Staircase kernels in orthogonal polygons

DOI10.1007/BF01194852zbMath0789.52011OpenAlexW4247886095MaRDI QIDQ1813061

Marilyn Breen

Publication date: 25 June 1992

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01194852

zbMATH Keywords

staircase kernelorthogonally convex polygonsstarshaped via staircase paths

Mathematics Subject Classification ID

Variants of convex sets (star-shaped, ((m, n))-convex, etc.) (52A30)

Related Items (12)

Dimensions of staircase kernels in orthogonal polygons ⋮ Unions of orthogonally convex or orthogonally starshaped polygons ⋮ Specifying the staircase kernel of a two-fold connected orthogonal polygon ⋮ Staircase kernels for orthogonal \(d\)-polytopes ⋮ A Krasnosel'skii theorem for orthogonal polygons starshaped via staircase \((n + 1)\)-paths ⋮ Generating the kernel of a staircase starshaped set from certain staircase convex subsets ⋮ Intersections and unions of orthogonal polygons starshaped via staircase \(n\)-paths ⋮ Suitable families of boxes and kernels of staircase starshaped sets in \(\mathbb{R}^d\) ⋮ Generating a staircase starshaped set from a minimal collection of its subsets ⋮ On starshapedness in products of interval spaces ⋮ Staircase \(k\)-kernels for orthogonal polygons ⋮ Staircase convex results for a certain class of orthogonal polytopes

Cites Work

• Covering orthogonal polygons with star polygons: The perfect graph approach
• Radial Functions of Convex and Star-Shaped Bodies
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