Enforcing Katz and PageRank Centrality Measures in Complex Networks
<|reference_start|>Enforcing Katz and PageRank Centrality Measures in Complex Networks: We investigate the problem of enforcing a desired centrality measure in complex networks, while still keeping the original pattern of the network. Specifically, by representing the network as a graph with suitable nodes and weighted edges, we focus on computing the smallest perturbation on the weights required to obtain a prescribed PageRank or Katz centrality index for the nodes. Our approach relies on optimization procedures that scale with the number of modified edges, enabling the exploration of different scenarios and altering network structure and dynamics.<|reference_end|>
@article{cipolla2024enforcing,
    title={Enforcing Katz and PageRank Centrality Measures in Complex Networks},
    author={Stefano Cipolla, Fabio Durastante, Beatrice Meini},
    journal={arXiv preprint arXiv:2409.02524},
    year={2024},
    archivePrefix={arXiv},
    eprint={2409.02524},
    primaryClass={physics.soc-ph cs.NA math.NA}
}