Inapproximability of Dominating Set in Power Law Graphs

Mikael Gast; Mathias Hauptmann; Marek Karpinski

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arXiv · 1212.3517

Inapproximability of Dominating Set in Power Law Graphs

Mikael Gast·Mathias Hauptmann·Marek Karpinski

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Abstract

We give logarithmic lower bounds for the approximability of the Minimum Dominating Set problem in connected (alpha,beta)-Power Law Graphs. We give also a best up to now upper approximation bound on the problem for the case of the parameters beta>2. We develop also a new functional method for proving lower approximation bounds and display a sharp phase transition between approximability and inapproximability of the underlying problem. This method could also be of independent interest.

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BibTeX RIS

Mikael Gast, Mathias Hauptmann, Marek Karpinski. 2012-12-14. Inapproximability of Dominating Set in Power Law Graphs. https://arxiv.org/abs/1212.3517

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