On the Approximability of Independent Set Problem on Power Law Graphs

March 10, 2015 Β· Declared Dead Β· πŸ› arXiv.org

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Authors Mathias Hauptmann, Marek Karpinski arXiv ID 1503.02880 Category cs.DS: Data Structures & Algorithms Cross-listed cs.DM, math.CO, math.OC Citations 1 Venue arXiv.org Last Checked 4 months ago
Abstract
We give the first nonconstant lower bounds for the approximability of the Independent Set Problem on the Power Law Graphs. These bounds are of the form $n^Ξ΅$ in the case when the power law exponent satisfies $Ξ²<1$. In the case when $Ξ²=1$, the lower bound is of the form $\log (n)^Ξ΅$. The embedding technique used in the proof could also be of independent interest.
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