𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The accuracy of small world chains in social networks

✍ Scribed by Peter D. Killworth; Christopher McCarty; H. Russell Bernard; Mark House


Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
465 KB
Volume
28
Category
Article
ISSN
0378-8733

No coin nor oath required. For personal study only.

✦ Synopsis


We analyse 10,920 shortest path connections between 105 members of an interviewing bureau, together with the equivalent conceptual, or 'small world' routes, which use individuals' selections of intermediaries. This permits the first study of the impact of accuracy within small world chains. The mean small world path length (3.23) is 40% longer than the mean of the actual shortest paths (2.30), showing that mistakes are prevalent. A Markov model with a probability of simply guessing an intermediary of 0.52 gives an excellent fit to the observations, suggesting that people make the wrong small world choice more than half the time.


πŸ“œ SIMILAR VOLUMES


Renormalization group analysis of the sm
✍ M.E.J. Newman; D.J. Watts πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 102 KB

We study the small-world network model, which mimics the transition between regular-lattice and random-lattice behavior in social networks of increasing size. We contend that the model displays a critical point with a divergent characteristic length as the degree of randomness tends to zero. We prop