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Eigenvalue ratios of nonnegatively curved graphs. (arXiv:1406.6617v2 [math.SP] UPDATED)
来源于:arXiv
We derive an optimal eigenvalue ratio estimate for finite weighted graphs
satisfying the curvature-dimension inequality $CD(0,\infty)$. This estimate is
independent of the size of the graph and provides a general method to obtain
higher order spectral estimates. The operation of taking Cartesian products is
shown to be an efficient way for constructing new weighted graphs satisfying
$CD(0,\infty)$. We also discuss a higher order Cheeger constant ratio estimate
and related topics about expanders. 查看全文>>