Large independent sets in random regular graphs

Duckworth, William; Zito, Michele

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Large independent sets in random regular graphs

Date

2009

Authors

Duckworth, William

Zito, Michele

Publisher

Elsevier

Abstract

We present algorithmic lower bounds on the size sd of the largest independent sets of vertices in random d-regular graphs, for each fixed d ≥ 3. For instance, for d = 3 we prove that, for graphs on n vertices, sd ≥ 0.43475 n with probability approachi