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arXiv · 2203.01613

Cycles in graphs with geometric property (T)

Jeroen Winkel
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Abstract

We show that a sequence of graphs with geometric property (T) has many small cycles. We also show that when a small part of a sequence of graphs with geometric property (T) is changed, it still has geometric property (T), provided that it is still an expander. We use this to give an example of a sequence of graphs with geometric property (T) that has large cycle-free balls.

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Jeroen Winkel. 2022-03-03. Cycles in graphs with geometric property (T). https://arxiv.org/abs/2203.01613

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