Title
Zipf's law for Web surfers
Abstract
One of the main activities of web users, known as "surÞng", is to follow links. Lengthy navigation often leads to disorientation when users lose track of the context in which they are navigating and are unsure how to proceed in terms of the goal of their original query. Studying navigation patterns of web users is thus important, since it can lead us to a better understanding of the problems users face when they are surÞng. We derive Zipf's rank frequency law (i.e. an inverse power law) from an absorbing Markov chain model of surfers' behaviour assuming that less probable navigation trails are, on average, longer than more probable ones. In our model the probability of a trail is interpreted as the relevance (or "value") of the trail. We apply our model to two scenarios: in the Þrst the probability of a user terminating the navigation session is independent of the number of links he has followed so far, and in the second the probability of a user terminating the navigation session increases by a constant each time the user follows a link. We analyse these scenarios using two sets of experimental data sets showing that, although the Þrst scenario is only a rough approximation of surfers' behaviour, the data is consistent with the second scenario and can thus provide an explanation of surfers' behaviour.
Year
DOI
Venue
2001
10.1007/PL00011657
Knowl. Inf. Syst.
Keywords
Field
DocType
Keywords: Markov chain,Web navigation,Zipf's law
Zipf's law,Data mining,Computer science,Markov chain,Inverse power law,Web navigation,Absorbing Markov chain
Journal
Volume
Issue
Citations 
3
1
31
PageRank 
References 
Authors
1.84
5
3
Name
Order
Citations
PageRank
Mark Levene11272252.84
José Borges214412.93
George Loizou3759218.32