Computational complexity of the graph approximation problem |
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Authors: | A A Ageev V P Il’ev A V Kononov A S Talevnin |
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Institution: | (1) Sobolev Institute of Mathematics, pr. Akad. Koptyuga 4, Novosibirsk, 630090, Russia;(2) Omsk State University, pr. Mira 55a, Omsk, 644077, Russia |
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Abstract: | 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. |
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