Oct 29, 2022 · In this paper we consider the vertex guarding problem, where guards are only allowed to be placed at the vertices of the polygon, and we wish to guard only the ...
Jan 2, 2023 · In this paper we consider the vertex guarding problem, where guards are only allowed to be placed at the vertices of the polygon, and we wish to ...
Nov 7, 2022 · In this paper we consider the vertex guarding problem, where guards are only allowed to be placed at the vertices of the polygon, and we wish to ...
We exhibit two linear time approximation algorithms for guarding rectilinear staircase polygons both having approximation factor 2. The first algorithm benefits.
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Place the natural angle guards at every reflex vertex of the polygon as well as the extreme vertices. ... guards at the reflex vertices ”carve out” the shape of ...
Feb 20, 2021 · In this paper, we prove a theorem similar to the Shermer's conjecture for a special case where the goal is to guard the vertices of the polygon ...
We also present PTASs for continuously guarding the boundary of a WV-polygon or WV-terrain, either from its vertices, or, for a WV-terrain, from arbitrary ...
The problem of vertex guarding a simple polygon was first studied by Subir. K. Ghosh (1987), who presented a polynomial-time O(log n)-approximation algorithm ...
We show that vertex guarding a monotone polygon is NP-hard and construct aconstant factor approximation algorithm for interior guarding monotone polygons.
In this paper, we prove that every orthogonal polygon with n vertices admits a finite witness set with witnesses under rectangular, staircase, and k-periscope ...