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Topological landscape is introduced for networks with functions defined on the nodes. By extending the notion of gradient flows to the net-work setting, critical nodes of different indices are defined...
Topological landscape is introduced for networks with functions defined on the nodes. By extending the notion of gradient flows to the net-work setting, critical nodes of different indices are defined...
Jerarca: Efficient Analysis of Complex Networks Using Hierarchical Clustering
Jerarca Efficient Analysis of Complex Networks Hierarchical Clustering Molecular Networks
2012/5/2
How to extract useful information from complex biological networks is a major goal in many fields, especially in genomics and proteomics. We have shown in several works that iterative hierarchical clu...
Optimal box-covering algorithm for fractal dimension of complex networks
Optimal box-covering algorithm fractal dimension complex networks Computational Physics
2012/4/24
The self-similarity of complex networks is typically investigated through computational algorithms the primary task of which is to cover the structure with a minimal number of boxes. Here we introduce...
Controlling complex networks: How much energy is needed?
Controlling complex networks energy needed Social and Information Networks
2012/4/20
The outstanding problem of controlling complex networks is relevant to many areas of science and engineering, and has the potential to generate technological breakthroughs as well. We address the phys...
Collective Almost Synchronization in Complex Networks
Collective Almost Synchronization Complex Networks Chaotic Dynamics
2012/4/26
This work introduces the phenomenon of Collective Almost Synchronization (CAS), which describes a universal way of how patterns can appear in complex networks even for small coupling strengths. The CA...
Variability of Contact Process in Complex Networks
Variability of Contact Process Complex Networks Social and Information Networks
2012/4/19
We study numerically how the structures of distinct networks influence the epidemic dynamics in contact process. We first find that the variability difference between homogeneous and heterogeneous net...
Localization and Spreading of Diseases in Complex Networks
Localization Spreading Diseases Complex Networks
2012/2/28
Using the SIS model on unweighted and weighted networks, we consider the disease localization phenomenon. In contrast to the well-recognized point of view that diseases infect a finite fraction of ver...
Identifying nucleation pathway is important for understanding the kinetics of first-order phase transitions in natural systems. In the present work, we study nucleation pathway of the Ising model in h...
Localization and Spreading of Diseases in Complex Networks
Localization Spreading Diseases Complex Networks
2012/2/24
Using the SIS model on unweighted and weighted networks, we consider the disease localization phenomenon. In contrast to the well-recognized point of view that diseases infect a finite fraction of ver...
Assessing the consistency of community structure in complex networks
community structure complex networks
2011/9/9
In recent years, community structure has emerged as a key component of complex network analysis.As more data has been collected, researchers have begun investigating changing community structure acros...
Exploring complex networks via topological embedding on surfaces
Complex Networks Maximal Embedded Graphs Triangulations Topological Froths Surface genus Hyperbolic networks
2011/7/20
We demonstrate that graphs embedded on surfaces are a powerful and practical tool to generate, characterize and simulate networks with a broad range of properties. Remarkably, the study of topological...
Nodal dynamics determine the controllability of complex networks
Nodal dynamics complex networks controllability
2011/9/1
Structural controllability has been proposed as an analytical framework for making predictions regarding the control of complex networks across myriad disciplines in the physical and life sciences (Lu...
Exploring complex networks via topological embedding on surfaces
Complex Networks Maximal Embedded Graphs Triangulations Topological Froths Surface genus Hyperbolic networks
2011/10/8
Abstract: We demonstrate that graphs embedded on surfaces are a powerful and practical tool to generate, characterize and simulate networks with a broad range of properties. Remarkably, the study of t...
Exploring complex networks via topological embedding on surfaces
Exploring complex networks topological embedding surfaces
2011/8/17
Abstract: We demonstrate that graphs embedded on surfaces are a powerful and practical tool to generate, characterize and simulate networks with a broad range of properties. Remarkably, the study of t...