Dispersing Obnoxious Facilities on a Graph

We study a continuous facility location problem on a graph where all edges have unit length and where the facilities may also be positioned in the interior of the edges. The goal is to position as many facilities as possible subject to the condition that any two facilities have at least distance δ f...

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Vydáno v:	Algorithmica Ročník 83; číslo 6; s. 1734 - 1749
Hlavní autoři:	Grigoriev, Alexander, Hartmann, Tim A., Lendl, Stefan, Woeginger, Gerhard J.
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	New York Springer US 01.06.2021 Springer Nature B.V
Témata:	Algorithm Analysis and Problem Complexity Algorithms Computer Science Computer Systems Organization and Communication Networks Data Structures and Information Theory Graph theory Mathematics of Computing Operations research Site selection Theory of Computation Facility location Theory of computation: graph algorithms analysis Theory of computation: discrete optimization Algorithms Mathematics of computing: graph theory Graph theory Optimization Complexity
ISSN:	0178-4617, 1432-0541
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Popis
Shrnutí:	We study a continuous facility location problem on a graph where all edges have unit length and where the facilities may also be positioned in the interior of the edges. The goal is to position as many facilities as possible subject to the condition that any two facilities have at least distance δ from each other. We investigate the complexity of this problem in terms of the rational parameter δ . The problem is polynomially solvable, if the numerator of δ is 1 or 2, while all other cases turn out to be NP-hard.
Bibliografie:	ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14
ISSN:	0178-4617 1432-0541
DOI:	10.1007/s00453-021-00800-3