Abstract
Transfer behavior is an important dynamic evolving mechanism and exists universally in real system. In this paper, a new community model, which incorporates transfer mechanism and weight dynamic, is proposed and the strength distribution is deduced. Numerical simulations are good agreement with the theoretical results and show good right skewed scale-free properties of strength distribution. Furthermore, we also analysis the correlations of vertices by calculate some important coefficients and prove the disassortative property of this model. Last, epidemic spreading process using weighted transmission rate on this weighted community network shows that the transfer behavior has a great impact on the epidemic dynamic.
This work was supported by the National Natural Science Foundation of China with Grant No. 10771039. lihuu2000@126.com
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Barabsi, A.L., Albert, R.: Emergence of scaling in random networks. Science 286, 509–512 (1999)
Barabsi, A.L., Jeong, H., Albert, R.: Nature 401, 130 (1999)
Huberman, B.A., Adamic, L.A.: Nature 401, 131 (1999)
Jeong, H., Mason, S.P., Barabsi, A.L., Oltvai, Z.N.: Nature 411, 41 (2000)
Caldarelli, G., Marchetti, R., Pietronero, L.: Europhys. Lett. 52, 386 (2000)
Amaral, L.A.N., Scala, A., Barthelemy, M., Stanley, H.E.: Proc. Natl. Acad. Sci. USA 97, 11149 (2000)
Ravasz, E., Somera, A.L., Mongru, D.A.: Science 297, 1551 (2002)
Li, X., Chen, G.: Physica AÂ 328, 274 (2003)
Li, X., Jin, Y.Y., Chen, G.: Physica AÂ 328, 287 (2003)
Oh, E., Rho, K., Hong, H., Kahng, B.: Phys. Rev. EÂ 72, 047101 (2005)
Barabsi, A.L., Jeong, H., Neda, Z., Ravasz, E., Schubert, A., Vicsek, T.: Physica AÂ 311, 590 (2002)
Huberman, B.A., Pirolli, P.L.T., Pitkow, J.E., Lukose, R.M.: Science 280, 95 (1998)
Guimera, R., Mossa, S., Turtschi, A., et al.: The world-wide air transportation network: anomalous centrality, community structure and cities’global roles. PNAS 102(31), 7794–7799 (2005)
Guimera, R., Amaral, L.A.N.: Modeling the world2 wide airport network. Eur. Phys. J. B 38, 381–385 (2004)
Pollner, P., Palla, G., Vicsek, T.: Europhys. Lett. 73, 478 (2006)
Barrat, A., Barthelemy, M., Vespignani, A.: Phys. Rev. Lett. 92, 228701 (2004)
Newman, M.E.J.: Natl. Acad. Sci. USAÂ 98, 404 (2001)
Pan, Z., Li, X., Wang, X.F.: Phys. Rev. EÂ 73, 056109 (2001)
Newman, M.E.J.: Phys. Rev. EÂ 67, 026126 (2003)
Barabsi, A.L., Albert, R., Jeong, H.: H. Physica AÂ 272, 173 (1999)
Albert, R., Barabsi, A.L.: Phys. Rev. Lett. 85, 5234 (2000)
Macdonald, P.J., AlmaasEand Barabasi, A.L.: Europhys. Lett. 72, 10232 (2005)
Newman, M.E.J.: Phys. Rev. Lett. 89, 208701 (2002)
Murray, J.D.: Mathematical Biology, vol. 85, p. 5234. Springer, Berlin (2000)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2012 Springer Science+Business Media Dordrecht
About this paper
Cite this paper
Chen, S. (2012). Weighted Community Network Based on Transfer Behavior. In: Wu, Y. (eds) Advanced Technology in Teaching - Proceedings of the 2009 3rd International Conference on Teaching and Computational Science (WTCS 2009). Advances in Intelligent and Soft Computing, vol 117. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-25437-6_74
Download citation
DOI: https://doi.org/10.1007/978-3-642-25437-6_74
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-25436-9
Online ISBN: 978-3-642-25437-6
eBook Packages: EngineeringEngineering (R0)