Shortest Path Discovery in the Multi-layered Social Network

Multi-layered social networks consist of the fixed set of nodes linked by multiple connections. These connections may be derived from different types of user activities logged in the IT system. To calculate any structural measures for multi-layered networks this multitude of relations should be coped with in the parameterized way. Two separate algorithms for evaluation of shortest paths in the multi-layered social network are proposed in the paper. The first one is based on pre-processing -- aggregation of multiple links into single multi-layered edges, whereas in the second approach, many edges are processed 'on the fly' in the middle of path discovery. Experimental studies carried out on the DBLP database are presented as well.

[1]  W. Marsden I and J , 2012 .

[2]  Duncan J. Watts,et al.  Collective dynamics of ‘small-world’ networks , 1998, Nature.

[3]  Alessandro Vespignani,et al.  Dynamical Processes on Complex Networks , 2008 .

[4]  Garry Robins,et al.  Small Worlds Among Interlocking Directors: Network Structure and Distance in Bipartite Graphs , 2004, Comput. Math. Organ. Theory.

[5]  R. Hanneman Introduction to Social Network Methods , 2001 .

[6]  Mason A. Porter,et al.  Community Structure in Online Collegiate Social Networks , 2008 .

[7]  Edsger W. Dijkstra,et al.  A note on two problems in connexion with graphs , 1959, Numerische Mathematik.

[8]  Caroline Haythornthwaite,et al.  Studying Online Social Networks , 2006, J. Comput. Mediat. Commun..

[9]  Cliff Lampe,et al.  The Benefits of Facebook "Friends: " Social Capital and College Students' Use of Online Social Network Sites , 2007, J. Comput. Mediat. Commun..

[10]  Katarzyna Musial,et al.  Multidimensional Social Network in the Social Recommender System , 2011, IEEE Transactions on Systems, Man, and Cybernetics - Part A: Systems and Humans.

[11]  Stanley Wasserman,et al.  Social Network Analysis: Methods and Applications , 1994, Structural analysis in the social sciences.

[12]  Robert B. Dial,et al.  Algorithm 360: shortest-path forest with topological ordering [H] , 1969, CACM.

[13]  Giorgio Gallo,et al.  Shortest path algorithms , 1988, Handbook of Optimization in Telecommunications.

[14]  E. Lazega The Collegial Phenomenon , 2001 .

[15]  M E J Newman,et al.  Community structure in social and biological networks , 2001, Proceedings of the National Academy of Sciences of the United States of America.

[16]  H E Stanley,et al.  Classes of small-world networks. , 2000, Proceedings of the National Academy of Sciences of the United States of America.

[17]  Jean-Loup Guillaume,et al.  Fast unfolding of communities in large networks , 2008, 0803.0476.

[18]  P. D. Laat The collegial phenomenon. The social mechanisms of cooperation among peers in a corporate law partnership , 2003 .

[19]  M. Newman,et al.  The structure of scientific collaboration networks. , 2000, Proceedings of the National Academy of Sciences of the United States of America.

[20]  J. A. Barnes Class and Committees in a Norwegian Island Parish , 1954 .

[21]  Mason A. Porter,et al.  Comparing Community Structure to Characteristics in Online Collegiate Social Networks , 2008, SIAM Rev..

[22]  Shankara B. Subramanya,et al.  WisColl: Collective wisdom based blog clustering , 2010, Inf. Sci..

[23]  G. G. Stokes "J." , 1890, The New Yale Book of Quotations.

[24]  Matthew K. O. Lee,et al.  Online Social Networks: Why Do "We" Use Facebook? , 2008, WSKS.

[25]  RadzikTomasz,et al.  Shortest paths algorithms , 1996 .

[26]  John Scott Social Network Analysis , 1988 .

[27]  Dimitrina S. Dimitrova,et al.  Computer Networks as Social Networks: Collaborative Work, Telework, and Virtual Community , 1996 .

[28]  E. Lazega Introduction : Collegial Phenomenon : The Social Mechanisms of Cooperation Among Peers in a Corporate Law Partnership , 2001 .

[29]  Katarzyna Musial,et al.  Multi-Layered Social Network Creation Based on Bibliographic Data , 2010, 2010 IEEE Second International Conference on Social Computing.

[30]  A. J. Hoffman,et al.  Applications of Graph Theory to Group Structure. , 1966 .

[31]  Fang Wu,et al.  Social Networks that Matter: Twitter Under the Microscope , 2008, First Monday.

[32]  Andrew V. Goldberg,et al.  Shortest paths algorithms: Theory and experimental evaluation , 1994, SODA '94.

[33]  Przemyslaw Kazienko,et al.  The Impact of Customer Churn on Social Value Dynamics , 2009, Int. J. Virtual Communities Soc. Netw..

[34]  Bernardo A. Huberman,et al.  E-Mail as Spectroscopy: Automated Discovery of Community Structure within Organizations , 2005, Inf. Soc..

[35]  J. Golbeck,et al.  FilmTrust: movie recommendations using trust in web-based social networks , 2006, CCNC 2006. 2006 3rd IEEE Consumer Communications and Networking Conference, 2006..

[36]  Jiangchuan Liu,et al.  Statistics and Social Network of YouTube Videos , 2008, 2008 16th Interntional Workshop on Quality of Service.

[37]  Bernardo A. Huberman,et al.  Email as spectroscopy: automated discovery of community structure within organizations , 2003 .

[38]  M. Pagel,et al.  Social networks: we get by with (and in spite of) a little help from our friends. , 1987, Journal of personality and social psychology.

[39]  V. Cattell Poor people, poor places, and poor health: the mediating role of social networks and social capital. , 2001, Social science & medicine.

[40]  J. Montgomery Social Networks and Labor-Market Outcomes: Toward an Economic Analysis , 1991 .