# MoN9: Ninth Mathematics of Networks meeting, 18th June, St Andrews University

## Richard Clegg (UCL) - Likelihood methods for comparing network evolution models

In the last twelve years a number of models have been proposed which
‘‘explain" the evolution of networks. Most notably, for example, the
rewiring model of a Watts–Strogatz small world network and the
preferential attachment model which Albert and Barabasi used to
explain power laws in degree distributions.

This presentation describes a rigorous statistical method using
likelihood estimates to compare two rival explanations for the
evolution of a given target network. The method, known as FETA
(Framework for Evolving Topology Analysis) is statistically rigorous
and can assess which of several rival models is the most likely
explanation for a given target data set. The method is tested on
several target networks. Free code and data are provided at
the FETA webpage.

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Contact:
Richard G. Clegg (richard@richardclegg.org)
or
Keith Briggs
()