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Novel centrality measure for simplicial complexes demonstrates higher centrality for core community simplices, suggesting its effectiveness.
This work introduces a novel measure of centrality for simplicial complexes of arbitrary dimension k, called k-Laplacian centrality, which extends the concept of Laplacian centrality from graph theory. Through experimentation on real-world data and comparison with existing centrality measures, our findings reveal that k-Laplacian centrality assigns higher centrality to simplices that form the core of dense, cohesive communities.
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Ponoi et al. (2026) studied this question.
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