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• W2059092564 abstract "Motivated by synchronization problems in noisy environments, we study the Edwards-Wilkinson process on weighted uncorrelated scale-free networks. We consider a specific form of the weights, where the strength (and the associated cost) of a link is proportional to $({k}_{i}{k}_{j}{)}^{ensuremath{beta}}$ with ${k}_{i}$ and ${k}_{j}$ being the degrees of the nodes connected by the link. Subject to the constraint that the total edge cost is fixed, we find that in the mean-field approximation on uncorrelated scale-free graphs, synchronization is optimal at ${ensuremath{beta}}^{*}=ensuremath{-}1$. Numerical results, based on exact numerical diagonalization of the corresponding network Laplacian, confirm the mean-field results, with small corrections to the optimal value of ${ensuremath{beta}}^{*}$. Employing our recent connections between the Edwards-Wilkinson process and resistor networks, and some well-known connections between random walks and resistor networks, we also pursue a naturally related problem of optimizing performance in queue-limited communication networks utilizing local weighted routing schemes." @default.
• W2059092564 created "2016-06-24" @default.
• W2059092564 creator A5014605473 @default.
• W2059092564 date "2007-05-25" @default.
• W2059092564 modified "2023-10-02" @default.
• W2059092564 title "Synchronization in weighted uncorrelated complex networks in a noisy environment: Optimization and connections with transport efficiency" @default.
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• W2059092564 doi "https://doi.org/10.1103/physreve.75.051121" @default.
• W2059092564 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/17677036" @default.
• W2059092564 hasPublicationYear "2007" @default.
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