Diffusion in Networks

In this paper a concept of method and its application examining a dynamic of diffusion processes in networks is considered. Presented method was used as a core framework for system CARE (Creative Application to Remedy Epidemics). Keywords—complex networks, diffusion, probabilistic finitestate machine.

[1]  Paul Erdös,et al.  On random graphs, I , 1959 .

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

[3]  Albert,et al.  Emergence of scaling in random networks , 1999, Science.

[4]  M. Newman.  Models of the Small World: A Review , 2000, cond-mat/0001118.

[5]  S. Godin,et al.  Unleashing the Ideavirus , 2000 .

[6]  Albert,et al.  Topology of evolving networks: local events and universality , 2000, Physical review letters.

[7]  A. Rbnyi.  ON THE EVOLUTION OF RANDOM GRAPHS , 2001 .

[8]  Alessandro Vespignani,et al.  EPIDEMIC SPREADING IN SCALEFREE NETWORKS , 2001 .

[9]  Albert-László Barabási,et al.  Statistical mechanics of complex networks , 2001, ArXiv.

[10]  Guanrong Chen,et al.  Complex networks: small-world, scale-free and beyond , 2003 .

[11]  Mark E. J. Newman,et al.  The Structure and Function of Complex Networks , 2003, SIAM Rev..

[12]  Erik P. de Vink,et al.  Probabilistic Automata: System Types, Parallel Composition and Comparison , 2004, Validation of Stochastic Systems.

[13]  Francisco Casacuberta,et al.  Probabilistic finite-state machines - part I , 2005, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[14]  Jure Leskovec,et al.  The dynamics of viral marketing , 2005, EC '06.

[15]  Dunia López-Pintado,et al.  Diffusion in complex social networks , 2008, Games Econ. Behav..

[16]  Mathieu Bastian,et al.  Gephi: An Open Source Software for Exploring and Manipulating Networks , 2009, ICWSM.

[17]  A. Najgebauer,et al.  Symulator rozprzestrzeniania się złośliwego oprogramowania w sieciach komputerowych , 2009 .

[18]  Rafał Kasprzyk.  The vaccination against epidemic spreading in Complex Networks , 2009 .

[19]  Andrzej Najgebauer,et al.  Creative Application To Remedy Epidemics , 2010 .