Information Processing Letters
Art gallery theorems and algorithms
Art gallery theorems and algorithms
Covering grids and orthogonal polygons with periscope guards
Computational Geometry: Theory and Applications
An optimal algorithm to solve the minimum weakly cooperative guards problem for 1-spiral polygons
Information Processing Letters
Overlaying simply connected planar subdivisions in linear time
Proceedings of the eleventh annual symposium on Computational geometry
Information Processing Letters
Multiply Guarded Guards in Orthogonal Art Galleries
ICCS '01 Proceedings of the International Conference on Computational Sciences-Part I
The art gallery theorem: its variations, applications and algorithmic aspects
The art gallery theorem: its variations, applications and algorithmic aspects
Art gallery theorems for guarded guards
Computational Geometry: Theory and Applications
An Optimal Algorithm for Determining the Visibility of a Polygon from an Edge
IEEE Transactions on Computers
Computational Geometry: Theory and Applications - Special issue on the 19th European workshop on computational geometry - EuroCG 03
Connected guards in orthogonal art galleries
ICCSA'03 Proceedings of the 2003 international conference on Computational science and its applications: PartIII
Weakly cooperative guards in grids
ICCSA'05 Proceedings of the 2005 international conference on Computational Science and its Applications - Volume Part I
Cooperative mobile guards in grids
Computational Geometry: Theory and Applications
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A set of mobile guards in a grid is guarded if at any point on its patrol segment every guard can be seen by at least one other guard. Herein we discuss a class of polygon-bounded grids and simple grids for which we propose a quadratic time algorithm for solving the problem of finding the minimum set of mobile guarded guards (the MinMGG problem). Recall that the MinMGG problem is NP-hard even for grids every segment of which crosses at most three other segments. We also provide an O(n log n) time algorithm for the MinMGG problem in horizontally or vertically unobstructed grids. Finally, we investigate complete rectangular grids with obstacles. We show that if both the vertical and the horizontal sizes of the grid are larger than the number of obstacles k, k+2 mobile guarded guards always suffice to cover the grid.