{"slug":"watts-1998","verification":{"valid":false,"broken_at":0,"reason":"prev mismatch"},"count":4,"sources":[{"id":"watts-1998-primary","type":"primary","url":"https://doi.org/10.1038/30918","title":"Watts & Strogatz 1998: Collective Dynamics of 'Small-World' Networks","quote":"Here we present a simple model of an interacting network that interpolates between a regular lattice and a random graph. For a wide range of parameters, the network exhibits 'small-world' behavior, in which local connections are highly clustered while a short path connects any two nodes.","summary":"The foundational Nature paper introducing the Watts-Strogatz small-world network model, demonstrating that a small fraction of rewired edges in a regular lattice produces networks with high clustering and short path length.","claim_ids":["C1","C2","C3","C5","C6"],"quality_score":1},{"id":"barabasi-1999-rival","type":"rival","url":"https://doi.org/10.1126/science.286.5439.509","title":"Barabási & Albert 1999: Emergence of Scaling in Random Networks","quote":"","summary":"The paper that introduced scale-free networks, revealing that the Watts-Strogatz model's homogeneous degree distribution is insufficient for real networks with hubs.","claim_ids":["C5"],"quality_score":0.95},{"id":"convergence-c16","type":"adjacent","url":"https://miscsubjects.com/articles/convergence-c16","title":"Convergence C16: Branching","quote":"","summary":"The transport architecture beneath every network; adjacent convergence pattern to small-world topology.","claim_ids":["C4"],"quality_score":0.7},{"id":"convergence-c18","type":"adjacent","url":"https://miscsubjects.com/articles/convergence-c18","title":"Convergence C18: Waves","quote":"","summary":"The signal propagation dynamics that travel through the short paths of small-world networks.","claim_ids":["C4"],"quality_score":0.7}]}