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arXiv · 2003.12293

Large independent sets on random $d$-regular graphs with fixed degree $d$

Raffaele Marino·Scott Kirkpatrick
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Abstract

This paper presents a linear prioritized local algorithm that computes large independent sets on a random $d$-regular graph with small and fixed degree $d$. We studied experimentally the independence ratio obtained by the algorithm when $ d \in [3,100]$. For all $d \in [5,100]$, our results are larger than lower bounds calculated by exact methods, thus providing improved estimates of lower bounds.

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Raffaele Marino, Scott Kirkpatrick. 2020-03-27. Large independent sets on random $d$-regular graphs with fixed degree $d$. https://arxiv.org/abs/2003.12293

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