scientific article

From MaRDI portal
Publication:3799261

zbMath0653.52001MaRDI QIDQ3799261

Joseph O'Rourke

Publication date: 1987


Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.



Related Items (only showing first 100 items - show all)

Parameterized Analysis of Art Gallery and Terrain GuardingExtension to Even TriangulationsUnnamed ItemGraphics in flatland revisitedUniversal Guard ProblemsTwo-floodlight illumination of convex polygonsOn the complexity of approximating and illuminating three-dimensional convex polyhedraComputing a shortest watchman path in a simple polygon in polynomial-timeVertex Guarding for Dynamic Orthogonal Art GalleriesTwo NP‐Hard Art‐Gallery Problems for Ortho‐PolygonsA short proof of the non-biplanarity of $K_9$Computational Complexity of the $$r$$-visibility Guard Set Problem for PolyominoesA 3-Approximation Algorithm for Guarding Orthogonal Art Galleries with Sliding CamerasVisibility-based pursuit-evasion in a polygonal environmentOn hamiltonian triangulations in simple polygons (Extended Abstract)Analysis of Spatial and Spatiotemporal Anomalies Using Persistent Homology: Case Studies with COVID-19 DataGuarding a Polygon Without Losing TouchTriangle-Based Heuristics for Area Optimal PolygonizationsMinimizing visible edges in polyhedraOn the general position numbers of maximal outerplane graphsThe dispersive art gallery problemA Multi-level Optimization Approach for the Planning of Heterogeneous Sensor NetworksOptimal Sensor Positioning; A Probability Perspective StudyOn \(r\)-guarding SCOTs -- a new family of orthogonal polygonsOn the complexity of half-guarding monotone polygonsOn Some City Guarding ProblemsApproximating Maximum Edge 2-Coloring in Simple Graphs Via Local ImprovementHardness of uncertain segment cover, contiguous SAT and visibility with uncertain obstaclesGuarding Art Galleries: The Extra Cost for Sculptures Is LinearOn colourability of polygon visibility graphsTwo-guarding a rectilinear polygonThe parameterized complexity of guarding almost convex polygonsTopological art in simple galleriesAlgorithm 966Unnamed ItemReconstructing Generalized Staircase Polygons with Uniform Step LengthA Bound on a Convexity Measure for Point SetsCombinatorics of beacon-based routing in three dimensionsOrbiting triangle method for convex polygon triangulationQuadrilaterizing an Orthogonal Polygon in ParallelAn addition to art galleries with interior wallsDecomposing the boundary of a nonconvex polyhedronDisproving a conjecture on planar visibility graphsTowards Optimal Positioning of Surveillance UGVsFinding the shortest boundary guard of a simple polygonComputing accumulation density of particles on a line with parabolic trajectories.Visibility with multiple reflectionsOn an estimate of the size of the maximum matching for a family of disjoint compact convex sets in the planeInapproximability of finding maximum hidden sets on polygons and terrainsIllumination in the presence of opaque line segments in the planeReconstructing Generalized Staircase Polygons with Uniform Step LengthGuarding Exterior Region of a Simple PolygonTerrain-like graphs: PTASs for guarding weakly-visible polygons and terrainsUnnamed ItemOn Colourability of Polygon Visibility GraphsExperimental Study on Approximation Algorithms for Guarding Sets of Line SegmentsOptimal Movement of Mobile Sensors for Barrier Coverage of a Planar RegionVariants of Visibility and their ComplexityHow to Keep an Eye on Small ThingsImproved bounds for guarding plane graphs with edgesSolving the Watchman Route Problem with Heuristic SearchGuarding rectangular art galleriesComputability and complexity of ray tracingOptimum placement of guardsCamera placement in integer latticesPentagonal chains and annuli as models for designing nanostructures from cagesMonitoring maximal outerplanar graphsArea requirement of visibility representations of treesGeodesic convexity in discrete spacesSearching a polygonal region by a group of stationary \(k\)-searchersTight bounds for the number of edge guards for spiral polygonsProtecting convex setsGuarding galleries and terrainsGuarding polyominoes, polycubes and polyhypercubesHiding points in arrangements of segmentsOptimum watchman routesPartitioning orthogonal polygons into \(\leq 8\)-vertex pieces, with application to an art gallery theoremPolygon guarding with orientationProper interval graphs and the guard problemRectangle-visibility representations of bipartite graphsOn the complexity of optimization problems for 3-dimensional convex polyhedra and decision treesCooperative mobile guards in gridsTriangulations, visibility graph and reflex vertices of a simple polygonApproximating maximum edge 2-coloring in simple graphsNote on an art gallery problemIllumination by floodlightsA new upper bound for the VC-dimension of visibility regionsRecognizing weakly convex visible polygonsVisibility with multiple diffuse reflectionsWatchman tours for polygons with holesGuarding a set of line segments in the planeApproximation algorithms for a geometric set cover problemOn \(k\)-convex polygonsA nearly optimal algorithm for covering the interior of an art galleryWorst-case-optimal algorithms for guarding planar graphs and polyhedral surfacesArt gallery theorems for guarded guards.Improved approximation for guarding simple galleries from the perimeterThe robber route problemMinimum k-partitioning of rectilinear polygonsTriangulating a nonconvex polytope




This page was built for publication: