On the Approximability of Independent Set Problem on Power Law Graphs
March 10, 2015 Β· Declared Dead Β· π 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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