图的体积熵、收缩和稳定范数
Volume entropy, systole and stable norm on graphs
摘要：
研究了图的一些新的等周不等式。本文建立了体积熵（或渐近体积）、收缩与加权图的第一个贝蒂数之间的关系。我们还找到了一些特殊的措施，单位球的稳定规范的图的体积的界限。
英文摘要：
We study some new isoperimetric inequalities on graphs. We etablish a relation between the volume entropy (or asymptotic volume), the systole and the first Betti number of weighted graphs. We also find bounds for the volume, associated to some special measure, of the unit ball for the stable norm of graphs.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
