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- Claire Christensen, Réka Albert
- I. J. Bifurcation and Chaos
- 2007

Complex networks are universal, arising in fields as disparate as sociology, physics, and biology. In the past decade, extensive research into the properties and behaviors of complex systems has uncovered surprising commonalities among the topologies of different systems. Attempts to explain these similarities have led to the ongoing development and… (More)

- Seung-Woo Son, Claire Christensen, Golnoosh Bizhani, David V. Foster, Peter Grassberger, Maya Paczuski
- Physical review. E, Statistical, nonlinear, and…
- 2012

For many real-world networks only a small "sampled" version of the original network may be investigated; those results are then used to draw conclusions about the actual system. Variants of breadth-first search (BFS) sampling, which are based on epidemic processes, are widely used. Although it is well established that BFS sampling fails, in most cases, to… (More)

- C Christensen, J Thakar, R Albert
- IET systems biology
- 2007

Genes and gene products interact on several levels, forming transcriptional regulatory-, protein interaction-, metabolic- and signal transduction networks. Genetic, biochemical and molecular biology techniques have been used for decades to identify biological interactions; newly developed high-throughput methods now allow for the construction of… (More)

- Claire Christensen, István Albert, Bryan Grenfell, Réka Albert
- Physica A
- 2010

We develop a framework for simulating a realistic, evolving social network (a city) into which a disease is introduced. We compare our results to prevaccine era measles data for England and Wales, and find that they capture the quantitative and qualitative features of epidemics in populations spanning two orders of magnitude. Our results provide unique… (More)

- Peter Grassberger, Claire Christensen, Golnoosh Bizhani, Seung-Woo Son, Maya Paczuski
- Physical review letters
- 2011

We study four Achlioptas-type processes with "explosive" percolation transitions. All transitions are clearly continuous, but their finite size scaling functions are not entirely holomorphic. The distributions of the order parameter, i.e., the relative size s(max)/N of the largest cluster, are double humped. But-in contrast to first-order phase… (More)

- Seung-Woo Son, Claire Christensen, Peter Grassberger, Maya Paczuski
- Physical review. E, Statistical, nonlinear, and…
- 2012

PageRank (PR) is an algorithm originally developed by Google to evaluate the importance of web pages. Considering how deeply rooted Google's PR algorithm is to gathering relevant information or to the success of modern businesses, the question of rank stability and choice of the damping factor (a parameter in the algorithm) is clearly important. We… (More)

Large-scale inference and scale inference and graph graph-theoretical analysis theoretical analysis of gene of gene-regulatory regulatory networks in networks in B. subtilis B. subtilis

- Seung-Woo Son, Claire Christensen, Golnoosh Bizhani, Peter Grassberger, Maya Paczuski
- Physical review. E, Statistical, nonlinear, and…
- 2011

We consider the mass-dependent aggregation process (k+1)X→X, given a fixed number of unit mass particles in the initial state. One cluster is chosen proportional to its mass and is merged into one, either with k neighbors in one dimension, or--in the well-mixed case--with k other clusters picked randomly. We find the same combinatorial exact solutions for… (More)

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