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Staircase kernels in orthogonal polygons

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References

  1. J.Culberson and R.Reckhow, Dent Diagrams: A Unified Approach to Polygon Covering Problems. Tech. Rep. TR 87-14, Dept. of Computing Sciences, University of Alberta, July 1987.

  2. L. Danzer, B. Grünbaum andV. Klee, Helly's theorem and its relatives. Proc. Sympos. Pure Math.7, 101–180 (1962).

    Google Scholar 

  3. M. A. Krasnosel'skii, Sur un critére pour qu'un domaine soit étoile. Math. Sb. (61)19, 309–310 (1946).

    Google Scholar 

  4. S. R.Lay, Convex Sets and Their Applications. New York 1982.

  5. R. Motwani, A. Raghunathan andH. Saran, Covering Orthogonal Polygons with Star Polygons: The Perfect Graph Approach. J. Comput. System Sci.40, 19–48 (1990).

    Google Scholar 

  6. J.O'Rourke, Art Gallery Theorems and Algorithms. New York 1987.

  7. F. A. Toranzos, Radial functions of convex and star-shaped bodies. Amer. Math. Monthly74, 278–280 (1967).

    Google Scholar 

  8. F. A.Valentine, Convex Sets. New York 1964.

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Author notes

  1. Marilyn Breen

    Present address: Department of Mathematics, University of Oklahoma, 73019-0315, Norman, Oklahoma, USA

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    1. Marilyn Breen
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    Supported in part by NSF grant DMS-8908717 and by a Senior Faculty Summer Research Fellowship, Research Council, University of Oklahoma.

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    Breen, M. Staircase kernels in orthogonal polygons. Arch. Math 59, 588–594 (1992). https://doi.org/10.1007/BF01194852

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