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L1-embeddability of rectilinear polygons with holes

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Abstract

The following result is established. LetP be a rectilinear polygon whose all holes are rectangles. If there are no maximal cut segments ofP whose end-points lie on the boundary of different holes thenP isL 1-embeddable.

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Authors and Affiliations

  1. Catedra de Cibernetică Matematică, Universitatea de Stat din Moldova, str. A.Mateevici 60, 277009, Chişinău, Moldova

    Victor Chepoi, Vitalii Patlatîi & Chiril Prisăcaru

Authors
  1. Victor Chepoi
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  2. Vitalii Patlatîi
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  3. Chiril Prisăcaru
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Supported by the Alexander von Humboldt Stiftung

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Chepoi, V., Patlatîi, V. & Prisăcaru, C. L1-embeddability of rectilinear polygons with holes. J Geom 56, 18–24 (1996). https://doi.org/10.1007/BF01222679

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  • DOI: https://doi.org/10.1007/BF01222679

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