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Mathematicians analyse friendship groups

Friday, 10 December 2010
Cosmos Online

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SYDNEY: Researchers in the UK have developed a model that reveals how social groups emerge and remain stable, which could help them understand everything from climate sceptic groups to soccer clubs.

"Traditionally networks have been studied as unchanging," said co-author John Bryden from the University of London, whose study was published in the Journal of Royal Society Interface. "But human networks are much more complex, and this study looked at the networks in the context of the ever-changing 'real world'.

"We have taken that a step further by looking at networks that are changing over time. Understanding why and how groups form in these changing networks could tell us much about how our society works."

A model for how we make friends

Using an algorithm derived from an individual-based model and a population-level model based on average behaviour, the researchers mathematically analysed human behaviour within a community context.

The researchers ran computer simulations to analyse how often we change our circles of friends, how we choose our friends and how social networks self-organise into smaller, more connected communities. From this, they were able to graph things such as opinion flow and social group formation against a consistent timescale.

When individuals were set up to make random connections with others, no smaller groups were formed, whereas when they were set up to only connect with those similar to themselves, networks would fracture and break up into unconnected cliques, the researchers report.

Forming a clique is never easy

"We found was that it was difficult for a new clique to get started," said Bryden. "We would introduce a new 'type' of person into the model, and watch to see if their interests spread to others … Many of these new 'types' didn't survive, but those that became established and formed cliques did tend to do very well."

The researchers hope the model will be used in the future to build a better understanding of why communities or cliques form, which could help future studies investigating how diseases and information spread through populations - even conspiracy theories.

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