Computational complexity of art gallery problems

From MaRDI portal
Publication:3723700

DOI10.1109/TIT.1986.1057165zbMath0593.68035WikidataQ56504470 ScholiaQ56504470MaRDI QIDQ3723700

No author found.

Publication date: 1986

Published in: IEEE Transactions on Information Theory (Search for Journal in Brave)




Related Items (82)

Optimum placement of guardsGuarding monotone art galleries with sliding cameras in linear timeCovering grids and orthogonal polygons with periscope guardsParameterized Analysis of Art Gallery and Terrain GuardingMinimal link visibility paths inside a simple polygonAn optimal algorithm to solve the minimum weakly cooperative guards problem for 1-spiral polygonsOn gallery watchmen in gridsOn boundaries of highly visible spaces and applicationsThe prison yard problemThe VC-dimension of visibility on the boundary of monotone polygonsApproximate guarding of monotone and rectilinear polygonsMulti-agent deployment for visibility coverage in polygonal environments with holesComputing a shortest watchman path in a simple polygon in polynomial-timeLine segment visibility with sidedness constraintsSEARCHING POLYHEDRA BY ROTATING HALF-PLANESHiding points in arrangements of segmentsMaximizing the guarded boundary of an Art Gallery is APX-completeVertex-to-point conflict-free chromatic guarding is NP-hardA tight bound for point guards in piecewise convex art galleriesAlgorithms for art gallery illuminationArt gallery problem with rook and queen visionGuarding orthogonal art galleries with sliding camerasOn orthogonally guarding orthogonal polygons with bounded treewidthTwo NP‐Hard Art‐Gallery Problems for Ortho‐PolygonsHiding people in polygonsComputational Complexity of the $$r$$-visibility Guard Set Problem for PolyominoesA 3-Approximation Algorithm for Guarding Orthogonal Art Galleries with Sliding CamerasGuarding a Polygon Without Losing TouchConnecting guards with minimum Steiner points inside simple polygonsMinimizing visible edges in polyhedraReflective guarding a galleryThe dispersive art gallery problemOn \(r\)-guarding SCOTs -- a new family of orthogonal polygonsOn vertex guarding staircase polygonsOn the complexity of half-guarding monotone polygonsOn Some City Guarding ProblemsGuarding Art Galleries: The Extra Cost for Sculptures Is LinearImproved Bounds for Wireless LocalizationCoverage with \(k\)-transmitters in the presence of obstaclesOn colourability of polygon visibility graphsTwo-guarding a rectilinear polygonCombinatorics and complexity of guarding polygons with edge and point 2-transmittersThe parameterized complexity of guarding almost convex polygonsTopological art in simple galleriesImproved approximation for guarding simple galleries from the perimeterENERGY-AWARE STAGE ILLUMINATIONFinding minimum witness sets in orthogonal polygonsClearing an orthogonal polygon to find the evadersAlgorithm 966On Guarding Orthogonal Polygons with Sliding CamerasMultiple point visibility and related problemsGuarding curvilinear art galleries with vertex or point guardsComputing the maximum clique in the visibility graph of a simple polygonGENERALIZED WATCHMAN ROUTE PROBLEM WITH DISCRETE VIEW COSTOn covering orthogonal polygons with star-shaped polygonsAn exact algorithm for minimizing vertex guards on art galleriesOn guarding the vertices of rectilinear domainsGuarding orthogonal art galleries with sliding \(k\)-transmitters: hardness and approximationApproximation algorithms for art gallery problems in polygonsImproved bounds for wireless localizationVolumetric untrimming: precise decomposition of trimmed trivariates into tensor productsFinding minimum hidden guard sets in polygons --- tight approximability resultsTowards Optimal Positioning of Surveillance UGVsGuarding curvilinear art galleries with edge or mobile guards via 2-dominance of triangulation graphsThe art gallery theorem for polyominoesLOCATING GUARDS FOR VISIBILITY COVERAGE OF POLYGONSIllumination in the presence of opaque line segments in the planeClique-width of point configurationsOn Colourability of Polygon Visibility GraphsFacets for art gallery problemsOptimal art gallery localization is NP-hardIsomorphism of spiral polygonsCovering orthogonal polygons with sliding \(k\)-transmittersMultiple-guard kernels of simple polygonsWatchman routes in the presence of a pair of convex polygonsAn \(O(\lg \lg {\mathrm {OPT}})\)-approximation algorithm for multi-guarding galleriesHow to Keep an Eye on Small ThingsOn the number of guard edges of a polygonApproximation algorithms for terrain guarding.EDGE GUARDS IN STRAIGHT WALKABLE POLYGONSA constant-factor approximation algorithm for vertex guarding a WV-polygonApproximability of guarding weak visibility polygons




This page was built for publication: Computational complexity of art gallery problems