Node mixing and network structure

Assortative and disassortative mixing. Degree mixing matrix, function and coefficient. Structural cutoff and disassortativity.

Lecture handouts:

• (10) Node mixing in networks

Lab notebooks:

• (x) Node mixing by (not) degree (I, II, III)
  

Book chapters:

• → Ch. 7: Degree correlations in Barabási, A.-L., Network Science (Cambridge University Press, 2016).
• Ch. 7.13: Homophily & Ch. 8.7: Assortative mixing in Newman, M.E.J., Networks: An Introduction (Oxford University Press, 2010).

Course readings:

• Newman, M.E.J., Mixing patterns in networks, Phys. Rev. E 67(2), 026126 (2003).
  
• Newman, M.E.J., Assortative mixing in networks, Phys. Rev. Lett. 89(20), 208701 (2002).
• → Newman, M.E.J. & Park, J., Why social networks are different from other types of networks, Phys. Rev. E 68(3), 036122 (2003).
• Pastor-Satorras, R., Vázquez, A. & Vespignani, A., Dynamical and correlation properties of the Internet, Phys. Rev. Lett. 87(25), 258701 (2001).
• Vázquez, A., Pastor-Satorras, R. & Vespignani, A., Large-scale topological and dynamical properties of the Internet, Phys. Rev. E 65(6), 066130 (2002).
• Xulvi-Brunet, R. & Sokolov, I.M., Changing correlations in networks: Assortativity and dissortativity, Acta Phys. Pol. B 36, 1431-1455 (2005).
  
• → Park, J. & Barabási, A.-L., Distribution of node characteristics in complex networks, P. Natl. Acad. Sci. USA 104(46), 17916-17920 (2007).
• → Foster, J.G., Foster, D.V. et al., Edge direction and the structure of networks, P. Natl. Acad. Sci. USA 107(24), 10815-10820 (2010).
• Peel, L., Delvenne, J.-C., & Lambiotte, R., Multiscale mixing patterns in networks, P. Natl. Acad. Sci. USA 115(16), 4057-4062 (2018).
  
• Estrada, E., Combinatorial study of degree assortativity in networks, Phys. Rev. E 84(4), 047101 (2011).