The Art Gallery Theorem for Rectilinear Polygons with Holes

Frank Hoffmann Institut für Informatik Freie Universität Berlin email: hoffmann@inf.fu-berlin.de Report B 94-22 Dezember 1994

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The Art Gallery Theorem for Rectilinear Polygons with Holes It is proved that any rectilinear polygon on $n$ vertices, possibly with holes, can be partitioned into at most $ \fl{n}{4}$ rectilinear stars each of size at most 12.