论文标题

非传递图的几何形状

Geometry of non-transitive graphs

论文作者

Oh, Josiah, Pengitore, Mark

论文摘要

在本说明中,我们研究了非传递图,并在满足粗略的传递性时证明了许多结果。同样,对于每个有限生成的组$ g $,我们生产连续量的许多成对的非Quasi iSmotem imoper图,它们具有相同的增长率,目的数量和渐近维度与$ g $。

In this note, we study non-transitive graphs and prove a number of results when they satisfy a coarse version of transitivity. Also, for each finitely generated group $G$, we produce continuum many pairwise non-quasi-isometric regular graphs that have the same growth rate, number of ends, and asymptotic dimension as $G$.

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