Time Characteristics of Group Interaction Behavior in Online Social Network

Abstract

Abstract: For interaction behavior of users in online social networks,we build a biased diffusion model to explain time interval distribution characteristics of group posting and event by relating task interval time τ and task execution time θ. We demonstrate that, for τ≥θ,time intervals follow power law distribution; and for τ>>θ,time intervals follow power law distribution with exponential effect. Experimental results validate the model.

Key words: online social networks, group interaction, biased diffusion, power-law distribution, exponential effect

CLC Number:

O469

LI Xujun, LIU Yezheng, JIANG Yuanchun. Time Characteristics of Group Interaction Behavior in Online Social Network[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2016, 33(2): 234-252.

References

[1] BARABASI A L. The architecture of complexity[J]. Control Systems,IEEE,2007,27(4):33-42.
[2] HE Y,ZOU Y,XU X,et al. Immunity of rumor on scale-free network with tunable clustering[J]. Chinese J Comput Phys,2014,31(6):751-756.
[3] FU J l,SUN D Y,XIAO J,WANG S Y. Review of the research on the terrorist networks based on social network analysis[J]. Systems Engineering-Theory&Practice,2013,33(9):2177-2186.
[4] LIU L. The most trustworthy path selection in online social networks[J]. Mathematical Problems in Engineering,2013,(10):51-60.
[5] BARABASI A L. The origin of bursts and heavy tails in human dynamics[J]. Nature,2005,435(7039):207-211.
[6] ZHOU T,KIET H A T,KIM B J,WANG B H,HOLME P. Role of activity in human dynamics[J]. EPL (Europhysics Letters),2008,82(2):28002-28006.
[7] GONçALVES B,RAMASCO J J. Human dynamics revealed through Web analytics[J]. Physical Review E,2008,78(2):026123-026129.
[8] GRABOWSKI A,KRUSZEWSKA N,KOSINSKI R. Dynamic phenomena and human activity in an artificial society[J]. Physical Review E,2008,78(6):066110-066115.
[9] YAN Q,WU L,ZHENG L. Social network based microblog user behavior analysis[J]. Physica A,2013, 392(7):1712-1723.
[10] MICONI A. Italy's "Five Stars" movement and the role of a leader:Or,how charismatic power can resurface through the web[J]. New Media & Society,2014,18(1):53-71.
[11] WU Y,ZHOU C,XIAO J,KURTHS J,SCHELLNHUBER H J. Evidence for a bimodal distribution in human communication[J]. Proceedings of the National Academy of Sciences,2010,107(44):18803-18808.
[12] CATTUTO C,VAN W,BARRAT A,et al. Dynamics of person-to-person interactions from distributed RFID sensor networks[J]. PloS One,2010,5(7):11596-11603.
[13] ZHAO Z D,CAI S M,HUANG J,FU Y,ZHOU T. Scaling behavior of online human activity[J]. EPL (Europhysics Letters),2012,100(4):48004-48009.
[14] QIAO J,FAN Y,LI G. Cause analysis of growing and non-growing scale-free networks[J]. Chinese J Comput Phys,2013(2):309-316.
[15] MISLOVE A,KOPPULA H S,GUMMADI K P,et al. An empirical validation of growth models for complex networks[M]. New York:Springer New York,2013:19-40.
[16] BARRAT A,CATTUTO C,COLIZZA V,et al. Empirical temporal networks of face-to-face human interactions[J]. European Physical Journal Special Topics,2013,222(6):1295-1309.
[17] MIN B,GOH K-I,VAZQUEZ A. Spreading dynamics following bursty human activity patterns[J]. Physical Review E,2011,83(3):36102-36106.
[18] SHANG M S,LÜ L,Zhang Y C,ZHOU T. Empirical analysis of web-based user-object bipartite networks[J]. EPL (Europhysics Letters),2010,90(4):48006-48011.
[19] KUNEGIS J,BLATTNER M,MOSER C. Preferential attachment in online networks:measurement and explanations[C]//Proceedings of the 5th Annual ACM Web Science Conference ACM,2013:205-214.
[20] Del GENIO C I,GROSS T,BASSLER K E. All scale-free networks are sparse[J]. Phys Rev Lett,2011, 10⁷(17):178701-178704.
[21] GRASSBERGER P. SIR epidemics with long-range infection in one dimension[J]. J Stat Mech:Theory Exp,2013,2013(04):4004-4031.
[22] JO H H,KARSAI M,KERTESZ J,KASKI K. Circadian pattern and burstiness in mobile phone communication[J]. New J Phys,2012,14(1):13055-13071.
[23] OLIVEIRA J,VAZQUEZ A. Impact of interactions on human dynamics[J]. Physica A,2009,388(2):187-192.
[24] ZHAO F,LIU J H,ZHAY L,ZHOU T. Human dynamics analysisin online collaborative writing[J]. Acta Phys Sin,2011,60(11):757-766
[25] REDNER S. A guide to first-passage processes[M]. Cambridge,UK:Cambridge University Press,2001. 20-32.
[26] SHEN X L,CHEUNG C M,LEE M K. Perceived critical mass and collective intention in social mediasupported small group communication[J]. Int J Inf Manage. 2013,33(5):707-715.
[27] YANG J,YAO C,MA W,CHEN G. A study of the spreading scheme for viral marketing based on a complex network model[J]. Physica A,2010,389(4):859-870.
[28] YAN Q,HUANG X. User behavior and IM topology analysis[J]. Journal of Networks,2008,3(7):1-7.
[29] RADICCHI F. Human activity in the web[J]. Physical Review E. 2009,80(2):26118-26125.
[30] CLAUSET A,SHAILIZI C R,NEWMAN M E J. Power-law distributions in empirical data[J]. SIAM Review,2009,51(4):661-703.