Network Structure and What the Measures Mean
Degree distributions, path lengths, clustering, centrality and community structure - what each measure captures and how each is misread.
Read →Almost every social process runs over a network. The structure of that network decides how fast things spread, who is exposed to what, and whether a local disturbance stays local.
Network science gave the social sciences a vocabulary that turned out to be unusually portable. The same measures describe collaboration between researchers, trade between countries, retweets between accounts and contact between people during an epidemic. That portability is a strength and a trap: the mathematics transfers cleanly, the interpretation does not.
Before asking how something spreads, you need to know what it is spreading through. Degree distributions that are heavily skewed mean a handful of nodes touch most of the system. Short average path lengths mean nothing stays far away for long. Community structure means the network is really several loosely coupled networks. Each of these changes the answer to every downstream question. The structure and measures page works through the ones worth knowing.
Diffusion on a network is not one process but at least two. Simple contagion needs a single exposure - this is how a news item or a virus moves. Complex contagion needs reinforcement from several independent contacts before someone adopts, which is how most behaviour and most opinion change works. The two produce opposite predictions about which network structures spread things fastest, which is why the distinction matters. See how opinions spread.
Online platforms do not just carry a social network, they curate it. Ranking algorithms decide which of your contacts you actually see, which makes the effective network different from the nominal one. That is the subject of media, polarisation and misinformation, and it connects directly to work on digital traces, since the same logs that make platform research possible are the ones that make it ethically fraught.
Degree distributions, path lengths, clustering, centrality and community structure - what each measure captures and how each is misread.
Read →Simple and complex contagion, threshold models, and why the structures that spread news fastest are not the ones that change behaviour.
Read →What the evidence supports about algorithmic curation, echo chambers and the spread of false information, and where popular accounts run ahead of it.
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