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We propose an algorithm to locate the most critical nodes to networkrobustness. Such critical nodes may be thought of as those most related to thenotion of network centrality. Our proposal relies only on a localized spectralanalysis of a limited subnetwork centered at each node in the network. We alsopresent a procedure allowing the navigation from any node towards a criticalnode following only local information computed by the proposed algorithm.Experimental results confirm the effectiveness of our proposal consideringnetworks of different scales and topological characteristics.

Distributed Algorithm to Locate Critical Nodes to Network Robustness based on Spectral Analysis