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The degree distribution is one of the most fundamental graph properties of interest for real-world graphs. It has been widely observed in numerous domains that graphs typically have a tailed or scale-free degree distribution. While the average degree is usually quite small, the variance is quite high and there are vertices with degrees at all scales. We focus on the problem of approximating the degree...
When comparing discrete probability distributions, natural measures of similarity are not ℓp distances but rather are information divergences such as Kullback-Leibler and Hellinger. This paper considers some of the issues related to constructing small-space sketches of distributions in the data-stream model, a concept related to dimensionality reduction, such that these measures can be approximated...
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