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Expander spanning subgraphs with large girth
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classification
math.COmath.MGmath.PR
keywords
cheegerconjectureconstantexpandergirthgraphslargepositive
read the original 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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