Networks, Dynamics, and the Small‐World Phenomenon1

By Duncan J. Watts. 1999

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Citations in the corpus

Position-aware Graph Neural Networks (2019, background): “Connected caveman graph (Watts, 1999) with 1% edges randomly rewired, with 20 communities where each community 20 nodes.”
Social network analysis: foundations and frontiers on advantage. (2013, unknown): “Before the advent of social network media, people were able to connect with complete strangers through 1969, Watts 1999), but it seems that email users stillrequireﬁvetosevenintermediariestoreach 528 Burt Kilduff Tasselli”
Neural Execution of Graph Algorithms (2019, methodology): “Graph generation To provide our learner with a wide variety of input graph structure types, we follow prior work [30, 31] and generate graphs from seven categories: Erdős-Rényi [6], BarabásiAlbert [1], grid, 4-community, 4-caveman [26], trees and ladder graphs.”
Systems thinking, knowledge and action: towards better models and methods (2010, result): “For example, the review excluded many studies of ‘small world’ networks (Watts, 1999) that focus on the actions and ties of sub-networks or cliques.”
Dancing with Strangers: Aspiration Performance and the Search for Underwriting Syndicate Partners (2005, unknown): “…into a network and provide the conduits for information exchange among them that are central to small-world network structures in which any two members have short connecting paths (Watts, 1999; Kogut and Walker, 2001; Baum, Shipilov, and Rowley, 2003; Uzzi and Spiro, 2004; Powell et al., 2005).”
Bigger and safer: the diffusion of competitive advantage (2009, background): “innovations spread from cluster to cluster ( Watts, 1999; Barabasi, 2002).”
Small Worlds Among Interlocking Directors: Network Structure and Distance in Bipartite Graphs (2004, methodology): “In terms of path length, the person-to-person graph has a structure resembling a connected (contracted) caveman graph (Watts, 1999a).”
Why knowledge does not equal power: the network redundancy trade-off (2008, methodology): “…Burt’s structural holes theory, network-theoretic treatments of knowledge-flow have assumed that knowledge is passed from one actor to another without regard for what the first receives in exchange for transmitting the knowledge (e.g., Granovetter, 1973; Buskens and Yamaguchi, 1999; Watts, 1999).”
Teaching executives to see social capital: Results from a field experiment ☆ (2007, background): “…which people at great geographic remove can communicate with one another through surprisingly few intermediaries because of bridges between social worlds (see Watts, 1999), Granovetter (1973) on the critical role that “weak ties” would play in information access and Xow if bridge relations were…”
The Diversity-Bandwidth Trade-off1 (2011, unknown): “…structurally diverse strong ties and cohesive embedded weak ties are both relatively rare (Granovetter 1973; Burt 1992; Watts and Strogatz 1998; Watts 1999; Centola and Macy 2007), the contingent scenarios are the most useful for explaining relationships between networks, information flow, and…”