Computational complexity of the graph approximation problem

The computational complexity of the graph approximation problem is investigated. It is shown that the different variants of this problem are NP-hard both for undirected and directed graphs. A polynomial-time approximation scheme (PTAS) for one of the variants is presented.[PUBLICATION ABSTRACT]

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Veröffentlicht in:Journal of applied and industrial mathematics Jg. 1; H. 1; S. 1 - 8
Hauptverfasser: Ageev, A. A., Il’ev, V. P., Kononov, A. V., Talevnin, A. S.
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Dordrecht Springer Nature B.V 01.03.2007
Schlagworte:
Algorithms
Approximation
Complexity
Computation
Graph theory
Graphs
Mathematical analysis
Mathematical models
ISSN:1990-4789, 1990-4797
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Zusammenfassung:The computational complexity of the graph approximation problem is investigated. It is shown that the different variants of this problem are NP-hard both for undirected and directed graphs. A polynomial-time approximation scheme (PTAS) for one of the variants is presented.[PUBLICATION ABSTRACT]
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ISSN:1990-4789
1990-4797
DOI:10.1134/S1990478907010012