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Finding the Shortest Watchman Route in a Simple Polygon

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1002/net.3230140304openalex-snapshot
Euclidean shortest paths in the presence of rectilinear barriers
inferredcites →https://doi.org/10.1007/3-540-54945-5_60openalex-snapshot
An incremental algorithm for constructing shortest watchman routes
inferredcites →https://doi.org/10.1007/3-540-57568-5_235openalex-snapshot
Finding the shortest watchman route in a simple polygon
inferredcites →https://doi.org/10.1007/3-540-57568-5_236openalex-snapshot
Constructing shortest watchman routes by divide-and-conquer
inferredcites →https://doi.org/10.1007/bf01840360openalex-snapshot
Linear-time algorithms for visibility and shortest path problems inside triangulated simple polygons
inferredcites →https://doi.org/10.1007/bf02574671openalex-snapshot
Shortest watchman routes in simple polygons
inferredcites →https://doi.org/10.1007/bfb0028276openalex-snapshot
Optimum guard covers and m-watchmen routes for restricted polygons
inferredcites →https://doi.org/10.1007/bfb0036185openalex-snapshot
Concerning the time bounds of existing shortest watchman route algorithms
inferredcites →https://doi.org/10.1109/fscs.1990.89541openalex-snapshot
Triangulating a simple polygon in linear time
inferredcites →https://doi.org/10.1109/tit.1986.1057165openalex-snapshot
Computational complexity of art gallery problems
inferredcites →https://doi.org/10.1137/0213024openalex-snapshot
Fast Algorithms for Finding Nearest Common Ancestors
inferredcites →https://doi.org/10.1142/s0218195993000063openalex-snapshot
OPTIMUM GUARD COVERS AND m-WATCHMEN ROUTES FOR RESTRICTED POLYGONS
inferredcites →https://doi.org/10.1142/s0218195993000233openalex-snapshot
AN INCREMENTAL ALGORITHM FOR CONSTRUCTING SHORTEST WATCHMAN ROUTES
inferredcites →https://doi.org/10.1142/s0218195999000212openalex-snapshot
CORRIGENDUM TO "AN INCREMENTAL ALGORITHM FOR CONSTRUCTING SHORTEST WATCHMAN ROUTES"
inferredcites →https://doi.org/10.1145/147508.147511openalex-snapshot
An optimal algorithm for intersecting line segments in the plane
inferredcites →https://doi.org/10.1145/322139.322142openalex-snapshot
An Optimal Algorithm for Finding the Kernel of a Polygon
inferredcites →https://doi.org/10.1145/98524.98600openalex-snapshot
On solving geometric optimization problems using shortest paths
inferredcites →https://doi.org/10.5555/313559.313611openalex-snapshot
A pedestrian approach to ray shooting: shoot a ray, take a walk

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Watchman Routes
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Shortest Watchman Tours in Simple Polygons Under Rotated Monotone Visibility
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Computing Multiple Watchman Routes
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An Approximate Algorithm for Solving the Watchman Route Problem
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On the complexity of approximating tsp with neighborhoods and related problems
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Approximation Algorithms for the Two-Watchman Route in a Simple Polygon
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Watchman tours for polygons with holes
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Watchman routes for lines and line segments
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On Romeo and Juliet problems: Minimizing distance-to-sight
inferred← citeshttps://doi.org/10.1016/j.comgeo.2025.102217openalex-snapshot
m-Watchmen's routes in minbar and generalized minbar polygons
inferred← citeshttps://doi.org/10.1016/j.ipl.2022.106262openalex-snapshot
Online search for a hyperplane in high-dimensional Euclidean space
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A linear-time 2-approximation algorithm for the watchman route problem for simple polygons
inferred← citeshttps://doi.org/10.1016/j.tcs.2024.114818openalex-snapshot
Observation routes and external watchman routes
inferred← citeshttps://doi.org/10.1016/s0020-0190(01)00259-9openalex-snapshot
The Traveling Salesman Problem for lines in the plane
inferred← citeshttps://doi.org/10.1016/s0020-0190(02)00502-1openalex-snapshot
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Approximation algorithms for TSP with neighborhoods in the plane
inferred← citeshttps://doi.org/10.1080/23799927.2023.2166873openalex-snapshot
A sufficient condition for visibility paths in simple polygons
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A method of placing sensor position for inspection with constrained visibility
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Tree Search Techniques for Minimizing Detectability and Maximizing Visibility
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inferred← citeshttps://doi.org/10.1109/iros.2015.7353849openalex-snapshot
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Summarizing Large Scale 3D Mesh
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Persistent Monitoring with Refueling on a Terrain Using a Team of Aerial and Ground Robots
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Visibility-Based Monitoring of a Path Using a Heterogeneous Robot Team
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Path planning with Incremental Roadmap Update for Visibility-based Target Tracking
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Navigability Graph Extraction From Large-Scale 3D Point Cloud
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Visibility-Based Target-Tracking Game: Bounds and Tracking Strategies
inferred← citeshttps://doi.org/10.1109/lra.2022.3159824openalex-snapshot
Towards a Continuous Solution of the $d$-Visibility Watchman Route Problem in a Polygon With Holes
inferred← citeshttps://doi.org/10.1109/milcom.2017.8170777openalex-snapshot
Multi-vehicle patrolling with limited visibility and communication constraints
inferred← citeshttps://doi.org/10.1109/taes.2021.3082668openalex-snapshot
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inferred← citeshttps://doi.org/10.1137/1.9781611973105.60openalex-snapshot
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inferred← citeshttps://doi.org/10.1137/1.9781611975482.67openalex-snapshot
A PTAS for Euclidean TSP with Hyperplane Neighborhoods
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The Polygon Exploration Problem
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THE TRAVELING SALESMAN PROBLEM FOR LINES AND RAYS IN THE PLANE
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Patrolling on Dynamic Ring Networks
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Extraction d'un graphe de navigabilité à partir d'un nuage de points 3D enrichis.
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