Over the last decade, PageRank has gained importance in a
wide range of applications and domains, ever since it first proved to be
effective in determining node importance in large graphs (and was a pioneering
idea behind Google's search engine). In distributed computing alone, PageRank
vector, or more generally random walk based quantities have been used for
several different applications ranging from determining important nodes, load
balancing, search, and identifying connectivity structures. Surprisingly,
however, there has been little work towards designing provably efficient
fully-distributed algorithms for computing PageRank. The difficulty is that
traditional matrix–vector multiplication style iterative methods may not always
adapt well to the distributed setting owing to communication bandwidth
restrictions and convergence rates.
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