A Krasnosel'skij theorem for staircase paths in orthogonal polygons

DOI10.1007/BF01226853zbMath0815.52004MaRDI QIDQ1339779

Marilyn Breen

Publication date: 8 December 1994

Published in: Journal of Geometry (Search for Journal in Brave)

zbMATH Keywords

orthogonal polygonstaircase path

Mathematics Subject Classification ID

Helly-type theorems and geometric transversal theory (52A35) Variants of convex sets (star-shaped, ((m, n))-convex, etc.) (52A30)

Related Items (5)

An improved Krasnosel'skij type theorem for orthogonal polygons which are starshaped via staircase paths ⋮ Visibility in semi-convex spaces ⋮ Staircase kernels for orthogonal \(d\)-polytopes ⋮ A modified Graham's convex hull algorithm for finding the connected orthogonal convex hull of a finite planar point set ⋮ Krasnosel'skii-type theorems for dent edges in orthogonal polygones

Cites Work

• Covering orthogonal polygons with star polygons: The perfect graph approach
• Dimensions of staircase kernels in orthogonal polygons
• A Krasnosel'skii-Type Theorem for Points of Local Nonconvexity
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