AbstractIt is shown that in any polygonal art gallery of n sides it is possible to place ⌊n/3⌋ point guards whose range of vision is 180° so that every interior point of the gallery can be seen by at least one of them. The guards can be stationed at any point of the art gallery. This settles an open problem posed by J. Urrutia
Abstract. Art gallery problems are, broadly speaking, the study of the relation between the shapes o...
Created in the 1970\u27s, the Art Gallery Problem seeks to answer the question of how many security ...
In the art gallery problem, we are given a closed polygon P, with rational coordinates and an intege...
AbstractIt is shown that in any polygonal art gallery of n sides it is possible to place ⌊n/3⌋ point...
It is shown that in any polygonal art gallery of n sides it is possible to place ⌊n/3 ⌋ point guards...
AbstractWe are given an art gallery represented by a simple polygon with n sides and an angle α∈(0°,...
AbstractIt is proved that for n > 3, ⌈25(n − 3)⌉ guards are enough to monitor any simply connected a...
AbstractWe prove two art gallery theorems in which the guards must guard one another in addition to ...
Given a simple polygon P on n vertices, two points x, y in P are said to be visible to each other if...
Abstract — The art gallery problem is a classical sensor placement problem that asks for the minimum...
We study the problem of guarding orthogonal art galleries with horizontal mobile guards (alternative...
1 Introduction The original art gallery problem, posted by Klee and solved by Chv'atal [2], is ...
AbstractIn this paper we consider the problem of placing edge guards to supervise a rectilinear art ...
Given a closed simple polygon P, we say two points p, q see each other if the segment seg(p, q) is f...
In this paper we study the art gallery problem, which is one of the fundamental problems in computat...
Abstract. Art gallery problems are, broadly speaking, the study of the relation between the shapes o...
Created in the 1970\u27s, the Art Gallery Problem seeks to answer the question of how many security ...
In the art gallery problem, we are given a closed polygon P, with rational coordinates and an intege...
AbstractIt is shown that in any polygonal art gallery of n sides it is possible to place ⌊n/3⌋ point...
It is shown that in any polygonal art gallery of n sides it is possible to place ⌊n/3 ⌋ point guards...
AbstractWe are given an art gallery represented by a simple polygon with n sides and an angle α∈(0°,...
AbstractIt is proved that for n > 3, ⌈25(n − 3)⌉ guards are enough to monitor any simply connected a...
AbstractWe prove two art gallery theorems in which the guards must guard one another in addition to ...
Given a simple polygon P on n vertices, two points x, y in P are said to be visible to each other if...
Abstract — The art gallery problem is a classical sensor placement problem that asks for the minimum...
We study the problem of guarding orthogonal art galleries with horizontal mobile guards (alternative...
1 Introduction The original art gallery problem, posted by Klee and solved by Chv'atal [2], is ...
AbstractIn this paper we consider the problem of placing edge guards to supervise a rectilinear art ...
Given a closed simple polygon P, we say two points p, q see each other if the segment seg(p, q) is f...
In this paper we study the art gallery problem, which is one of the fundamental problems in computat...
Abstract. Art gallery problems are, broadly speaking, the study of the relation between the shapes o...
Created in the 1970\u27s, the Art Gallery Problem seeks to answer the question of how many security ...
In the art gallery problem, we are given a closed polygon P, with rational coordinates and an intege...
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