Perra, N. ORCID: 0000-0002-5559-3064, Zlatić, V., Chessa, A., Conti, C., Donato, D. and Caldarelli, G. (2009) PageRank equation and localization in the WWW. EPL (Europhysics Letters), 88 (4):48002. ISSN 0295-5075 (Print), 1286-4854 (Online) (doi:https://doi.org/10.1209/0295-5075/88/48002)

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Abstract

We show that the PageRank in a network can be represented as the solution of a differential equation discretized over a directed graph. By exploiting a formal relationship with the time-independent Schrödinger equation it is possible to interpret hub formation and related phenomena as a wave-like localization process in the presence of disorder and trapping potentials. The result opens new perspectives in the physics of networks with interdisciplinary connections and opens the way to the employment of various mathematical techniques to the analysis of self-organization in structured systems. Applications are envisaged in the World-Wide Web, traffic, social and biological networks.

Item Type:	Article
Uncontrolled Keywords:	Pagerank
Faculty / School / Research Centre / Research Group:	Faculty of Business > Networks and Urban Systems Centre (NUSC) > Centre for Business Network Analysis (CBNA)
Last Modified:	21 Oct 2020 10:05
URI:	http://gala.gre.ac.uk/id/eprint/14952

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