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arXiv · 2012.15502

Expander spanning subgraphs with large girth

Itai Benjamini·Mikolaj Fraczyk·Gabor Kun
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Abstract

We conjecture that finite graphs with positive Cheeger constant admit a spanning subgraph with positive Cheeger constant and girth proportional to the diameter. We prove this conjecture for regular expander graphs with large expansion. Our proof relies on the Local Lemma.

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Itai Benjamini, Mikolaj Fraczyk, Gabor Kun. 2020-12-31. Expander spanning subgraphs with large girth. https://arxiv.org/abs/2012.15502

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