A PTAS for vertex guarding weakly-visible polygons - An extended abstract
نویسنده
چکیده
In this extended abstract, we first present a PTAS for guarding the vertices of a weakly-visible polygon P from a subset of its vertices, or in other words, a PTAS for computing a minimum dominating set of the visibility graph of the vertices of P . We then show how to obtain a PTAS for vertex guarding the entire polygon. Digital Object Identifier 10.4230/LIPIcs...
منابع مشابه
Vertex Guarding in Weak Visibility Polygons
The art gallery problem enquires about the least number of guards that are sufficient to ensure that an art gallery, represented by a polygon P , is fully guarded. In 1998, the problems of finding the minimum number of point guards, vertex guards, and edge guards required to guard P were shown to be APX-hard by Eidenbenz, Widmayer and Stamm. In 1987, Ghosh presented approximation algorithms for...
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