Abstract
Algebraic connectivity (second smallest eigenvalue of the supra-Laplacian matrix of the underlying multilayer network) and inter-layer coupling strength play an important role in the diffusion processes on the multiplex networks. In this work, we study the effect of inter-layer coupling strength, topological structure on algebraic connectivity in weighted multiplex networks. The results show a remarkable transition in the value of algebraic connectivity from classical cases where the inter-layer coupling strength is homogeneous. We investigate various topological structures in multiplex networks using configuration model, the Barabasi-Albert model (BA) and empirical data-set of multiplex networks. The threshold value \(d_c^{'}\) is found smaller in heterogeneous networks for all the multiplex networks as compared to the homogeneous case. Experimental results reveal that the topological structure (average clustering coefficient) and inter-layer coupling strength has considerable effect on threshold values for the algebraic connectivity.
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Kumar, R., Singh, A., Cherifi, H. (2018). Effect of Topological Structure and Coupling Strength in Weighted Multiplex Networks. In: Chen, X., Sen, A., Li, W., Thai, M. (eds) Computational Data and Social Networks. CSoNet 2018. Lecture Notes in Computer Science(), vol 11280. Springer, Cham. https://doi.org/10.1007/978-3-030-04648-4_33
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DOI: https://doi.org/10.1007/978-3-030-04648-4_33
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