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Designing Optimal Multiplex Networks for Certain Laplacian Spectral Properties
[article]
2020
arXiv
pre-print
We discuss the design of interlayer edges in a multiplex network, under a limited budget, with the goal of improving its overall performance. We analyze the following three problems separately; first, we maximize the smallest nonzero eigenvalue, also known as the algebraic connectivity; secondly, we minimize the largest eigenvalue, also known as the spectral radius; and finally, we minimize the spectral width. Maximizing the algebraic connectivity requires identical weights on the interlayer
arXiv:1903.01073v2
fatcat:2nnlo2dg4jdoji35mcmfxkjtru