NDLI: A study of a time-graph friendship model

Content Provider	IEEE Xplore Digital Library
Author	Oikonomou, K. Loukidou, A. Sioutas, S.
Copyright Year	2011
Description	Author affiliation: Department of Informatics, Ionian University, Corfu, Greece (Oikonomou, K.; Loukidou, A.; Sioutas, S.)
Abstract	Modeling friendship is a challenging task in social networking given the opportunistic behavior of human relationships that is hard to model. In this paper a simple two-state markov chain model is introduced attempting to give further insight on friendship and particularly how relations evolve as time passes, given that the corresponding graph is a time evolving one with interesting properties. Based on this model four distinct behavioral categories are identified and studied. As it is analytically shown, and subsequently confirmed by simulations, any network of nodes having the same friendship characteristics (e.g., a network consisted exclusively of nodes of one of the behavioral categories characterized in this work) eventually results to a network with properties similar to that of random graphs. Since modern society is characterized by power-law distributions, it is shown by simulations that there exists a certain mix of the previously mentioned categories such that the resulting graph has similar to power-law distribution.
Starting Page	1
Ending Page	6
File Size	190571
Page Count	6
File Format	PDF
ISBN	9781457703522
e-ISBN	9781457703515
e-ISBN	9781457703508
DOI	10.1109/WoWMoM.2011.5986150
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2011-06-20
Publisher Place	Italy
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Analytical models Friendship Network topology Social network services Simulation Computational modeling Markov processes Mathematical model Two-state markov chain Time-Graphs
Content Type	Text
Resource Type	Article

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