Characterization of tail dependence for in-degree and PageRank


Litvak, Nelly and Scheinhardt, Werner and Volkovich, Yana and Zwart, Bert (2009) Characterization of tail dependence for in-degree and PageRank. In: 6th International Workshop on Algorithms and Models for the Web-Graph, WAW 2009, 12-13 February 2009, Barcelona, Spain (pp. pp. 90-103).

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Abstract:The dependencies between power law parameters such as in-degree and PageRank, can be characterized by the so-called angular measure, a notion used in extreme value theory to describe the dependency between very large values of coordinates of a random vector. Basing on an analytical stochastic model, we argue that the angular measure for in-degree and personalized PageRank is concentrated in two points. This corresponds to the two main factors for high ranking: large in-degree and a high rank of one of the ancestors. Furthermore, we can formally establish the relative importance of these two factors.
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Electrical Engineering, Mathematics and Computer Science (EEMCS)
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