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[Keyword] edge guards(2hit)

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  • Finding the Minimum Number of Open-Edge Guards in an Orthogonal Polygon is NP-Hard

    Chuzo IWAMOTO  

     
    LETTER-Fundamentals of Information Systems

      Pubricized:
    2017/04/05
      Vol:
    E100-D No:7
      Page(s):
    1521-1525

    We study the problem of determining the minimum number of open-edge guards which guard the interior of a given orthogonal polygon with holes. Here, an open-edge guard is a guard which is allowed to be placed along open edges of a polygon, that is, the endpoints of the edge are not taken into account for visibility purpose. It is shown that finding the minimum number of open-edge guards for a given orthogonal polygon with holes is NP-hard.

  • A Note on the Edge Guard Problem for Spiral Polygons

    Xuehou TAN  

     
    LETTER-Theory/Models of Computation

      Vol:
    E83-D No:2
      Page(s):
    283-284

    Two different examples have been respectively given by Aggarwal and Viswanathan to establish the necessity of (n + 2)/5 edge guards for spiral polygons. However, the former example is incorrect. To show why it is wrong, we give an alternate proof of sufficiency of (n + 2)/5 edge guards for spiral polygons. Our proof is simpler than the sufficiency proof given by Viswanathan.