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On the rectilinear art gallery problem

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Automata, Languages and Programming (ICALP 1990)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 443))

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Abstract

It is shown that [n/4] point guards are always sufficient and sometimes necessary to watch a rectilinear polygon with an arbitrary number of holes, where n is the total number of vertices.

(Extended Abstract)

Part of the research work was done while visiting the Mathematical Institute Budapest of the Hungarian Academy of Sciences and the Center for Discrete Mathematics and Theoretical Computer Science (DIMACS) at Rutgers University.

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References

  1. E. Györi, A short proof of the rectilinear art gallery theorem, SIAM J. Alg. Disc. Math. 7 (1986), 452–454

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Author information

Authors and Affiliations

  1. Karl-Weierstraß-Institut für Mathematik, Akademie der Wissenschaften der DDR, Mohrenstraße 39, PF 1304, DDR-1086, Berlin

    Frank Hoffmann

Authors
  1. Frank Hoffmann
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Editor information

Michael S. Paterson

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© 1990 Springer-Verlag Berlin Heidelberg

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Hoffmann, F. (1990). On the rectilinear art gallery problem. In: Paterson, M.S. (eds) Automata, Languages and Programming. ICALP 1990. Lecture Notes in Computer Science, vol 443. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0032069

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  • DOI: https://doi.org/10.1007/BFb0032069

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-52826-5

  • Online ISBN: 978-3-540-47159-2

  • eBook Packages: Springer Book Archive

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