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arXiv · 1808.06666

Stability for maximal independent sets

Jeff Kahn·Jinyoung Park
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Abstract

Answering questions of Y. Rabinovich, we prove "stability" versions of upper bounds on maximal independent set counts in graphs under various restrictions. Roughly these say that being close to the maximum implies existence of a large induced matching or triangle matching (depending on assumptions).

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Jeff Kahn, Jinyoung Park. 2018-08-20. Stability for maximal independent sets. https://arxiv.org/abs/1808.06666

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