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Structural centrality measures are often used to approximate or predict dynamical influence in a network. The recently proposed Expected Force of Infection (ExF) measures the entropy of all potential transmission paths starting at a node, effectively characterizing a node's role in epidemic diffusion processes. However, this promising metric has seen limited adoption mainly due to an inefficient formulation and the lack of an open-source implementation. In this paper, we present a novel cluster-centric, parallel algorithm enhancing ExF's efficiency and scalability. Compared to the simple parallel version of the original formulation of the ExF our efficient, open-source GPU implementation enables key nodes detection at previously intractable scales, with speed-ups of up to 300 x on networks with up to 44 million edges. Leveraging on our algorithm, we compare the ExF with other well-known centrality metrics, upon six …