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On Intersection of Maximal Orthogonally k-Starshaped Polygons

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Abstract

Let F be a simply connected orthogonal polygon in R 2 and let P denote the intersection of all maximal orthogonally k-starshaped polygons in F for any fixed integer k,k≥2. If P≠ and for every x,y ∈ P which are joined in F by a staircase path having two segments there is a similar staircase path from x to y in P, then there exists a maximal orthogonally k-starshaped polygon Q in F such that the staircase k-kernel of Q is a subset of the staircase k-kernel of P. In particular, F is either an orthogonally k-starshaped simply connected polygon in F or empty.

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  1. Department of Mathematics and Informatics, Moldova State University, str. A. Mateevici 60, MD, 2009, Chişinău, Moldova

    Topală Oleg

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  1. Topală Oleg
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Oleg, T. On Intersection of Maximal Orthogonally k-Starshaped Polygons. Geometriae Dedicata 78, 271–278 (1999). https://doi.org/10.1023/A:1005279707852

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