Advertisement

Journal of Geometry

, Volume 70, Issue 1–2, pp 164–167 | Cite as

Intersection of maximal orthogonally starshaped polygons

  • Oleg Topală
  • 33 Downloads

Abstract.

Let S be a simply connected orthogonal polygon in \( R^2 \) and let P(S) denote the intersection of all maximal starshaped via staircase paths orthogonal subpolygons in S. Our result: if \( P(S)\ne \emptyset \), then there exists a maximal starshaped via staircase paths orthogonal polygon \( T\subseteq S \), such that \( KerT\subseteq KerP(S) \). As a corollary, P(S) is a starshaped (via staircase paths) orthogonal polygon or empty. The results fail without the requirement that the set S is simply connected.

Key words: Orthogonal polygon, staircase paths, maximal orthogonally starshaped polygon. 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Birkhäuser Verlag Basel, 2001

Authors and Affiliations

  • Oleg Topală
    • 1
  1. 1.Departament of Mathematics and Informatics, Moldova State University, str. A. Mateevici 60, MD 2009 Chişinău, Moldova, e-mail: topala@usm.mdMD

Personalised recommendations