158 citations · 529 across the 9 of their papers we have counts for
9 papers
Preferential attachment during the evolution of a potential energy landscape
Claire P. Massen, Jonathan P. K. Doye
It has previously been shown that the network of connected minima on a potential energy landscape is scale-free, and that this reflects a power-law distribution for the areas of th…
Exploring the origins of the power-law properties of energy landscapes: An egg-box model
Claire P. Massen, Jonathan P. K. Doye, Rupert W. Nash
Multidimensional potential energy landscapes (PELs) have a Gaussian distribution for the energies of the minima, but at the same time the distribution of the hyperareas for the bas…
Energy landscapes, scale-free networks and Apollonian packings
Jonathan P. K. Doye, Claire P. Massen
We review recent results on the topological properties of two spatial scale-free networks, the inherent structure and Apollonian networks. The similarities between these two types…
Thermodynamics of Community Structure
Claire P. Massen, Jonathan P. K. Doye
We introduce an approach to partitioning networks into communities that not only determines the best community structure, but also provides a range of characterization techniques t…
A self-consistent approach to measure preferential attachment in networks and its application to an inherent structure network
Claire P. Massen, Jonathan P. K. Doye
Preferential attachment is one possible way to obtain a scale-free network. We develop a self-consistent method to determine whether preferential attachment occurs during the growt…
Power-law distributions for the areas of the basins of attraction on a potential energy landscape
Claire P. Massen, Jonathan P. K. Doye
Energy landscape approaches have become increasingly popular for analysing a wide variety of chemical physics phenomena. Basic to many of these applications has been the inherent s…