28 July 2003
http://www.nature.com/nsu/030721/030721-15.html
PHILIP BALL
Guitar virtuoso Eddie Lang was the most well-connected musician of the early jazz era, say two scientists in Spain1.
Pablo Gleiser and Leon Danon of the University of Barcelona have analysed the community structure of the jazz world between 1912 and 1940, as recorded in the Red Hot Jazz Archive database. This lists more than 1,000 musicians who collaborated in a total of 198 bands.
The pair find that the swing big band era had the same 'small world' property as friendship networks, movie actors and scientific collaborations. Any individual can be connected to any other in the network by a surprisingly small number of steps.
The phenomenon was memorably summed up by a character in John Guare's 1990 play Six degrees of Separation, saying: "Everybody on this planet is separated by only six other people."
In fact, jazz musicians before 1940 enjoyed much closer links than that: on average, any one was separated from another by only 2.79 steps. As in most human networks, a few individuals have very high degrees of connectivity. Lang, also known as Blind Willie Dunn, collaborated with 415 musicians - despite dying aged 30.
Gleiser and Danon find some key differences between the jazz scene and other human networks. In particular, it is divided into distinct communities that interact only weakly. Most notable are two branches corresponding to the black and white musicians, a reflection of the strong racial segregation of the time. Another subdivision relates to where the bands recorded, splitting them to some extent into New York and Chicago groups.
Swim band
Meanwhile, David Lusseau of the University of Aberdeen, UK, has found that even dolphins swim in small worlds. He spent seven years distinguishing the distinctive dorsal-fin markings of around 60 bottlenose dolphins living in Doubtful Sound fjord in New Zealand2.
Lusseau concludes that the dolphin swim-buddy network features about five degrees of separation.
It is also very robust. Unlike jazzers or scientists, only a few dolphins have very few connections: most have an intermediate number. Lusseau thinks this helps to hold the community together even if the highly connected hubs die. He calculates that the network would remain cohesive even if a third of the population were wiped out.
References
1.Gleiser, P. M. & Danon, L. Community structure in jazz. Preprint, http://xxx.arxiv.org/abs/cond-mat/0307434 (2003).
2.Lusseau, D.The emergent properties of a dolphin social network. Proceedings of the Royal Society Series B, published online, doi:10.1098/rsbl.2003.0057 (2003).
© Nature News Service / Macmillan Magazines Ltd 2003
=====
Note:
The new MSN 8: smart spam protection and 2 months FREE*