Multiplex Networks: Basic Definition and Formalism

In this chapter, we present and define multiplex networks as they will be used in this book.

[1]  Yamir Moreno,et al.  Dimensionality reduction and spectral properties of multiplex networks , 2013, Physical review. E, Statistical, nonlinear, and soft matter physics.

[2]  Ben D. MacArthur,et al.  Symmetry in complex networks , 2007, Discret. Appl. Math..

[3]  Vito Latora,et al.  Metrics for the analysis of multiplex networks , 2013, ArXiv.

[4]  A. Arenas,et al.  Mathematical Formulation of Multilayer Networks , 2013, 1307.4977.

[5]  D. West.  Introduction to Graph Theory , 1995 .

[6]  Rubén J. Sánchez-García,et al.  Spectral characteristics of network redundancy. , 2009, Physical review. E, Statistical, nonlinear, and soft matter physics.

[7]  Vito Latora,et al.  Structural measures for multiplex networks. , 2013, Physical review. E, Statistical, nonlinear, and soft matter physics.

[8]  Mason A. Porter,et al.  Multilayer networks , 2013, J. Complex Networks.

[9]  Sergio Gómez,et al.  Spectral properties of the Laplacian of multiplex networks , 2013, Physical review. E, Statistical, nonlinear, and soft matter physics.