omega-Periodic graphs

Details omega-Periodic graphs omega-Periodic graphs

2003-08-10

arxiv.org/abs/math/0308092v1

Mathematics

Metric Geometry

Scientific paper

$\omega$-periodic graphs are introduced and studied. These are graphs which arise as the limits of periodic extensions of the nearest neighbor graph on the integers. We observe that all bounded degree $\omega$-periodic graphs are ameanable. We also provide examples of $\omega$-periodic graphs which have exponential volume growth, non-linear polynomial volume growth and intermediate volume growth.

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