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cc-by (c) Boguñá, Marián et al., 2020
Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/179063

Small worlds and clustering in spatial networks

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Networks with underlying metric spaces attract increasing research attention in network science, statistical physics, applied mathematics, computer science, sociology, and other fields. This attention is further amplified by the current surge of activity in graph embedding. In the vast realm of spatial network models, only a few reproduce even the most basic properties of real-world networks. Here, we focus on three such properties sparsity, small worldness, and clustering and identify the general subclass of spatial homogeneous and heterogeneous network models that are sparse small worlds and that have nonzero clustering in the thermodynamic limit. We rely on the maximum entropy approach in which network links correspond to noninteracting fermions whose energy depends on spatial distances between nodes.

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BOGUÑÁ, Marián, et al. Small worlds and clustering in spatial networks. Physical Review Research. 2020. Vol. 2, num. 2. ISSN 2643-1564. [consulted: 13 of August of 2026]. Available at: https://hdl.handle.net/2445/179063

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