We propose a simple method to extract the community structure of large networks. Our is heuristic that based on modularity optimization. It shown outperform all other known detection methods in terms computation time. Moreover, quality communities detected very good, as measured by so-called modularity. This first identifying language Belgian mobile phone network 2 million customers and analysing web graph 118 nodes more than one billion links. The accuracy our algorithm also verified ad hoc modular

Brain networks are increasingly understood as one of a large class information processing systems that share important organizational principles in common, including the property modular community structure. A module is topologically defined subset highly inter-connected nodes which relatively sparsely connected to other modules. In brain networks, topological modules often made up anatomically neighboring and/or functionally related cortical regions, and inter-modular connections tend be...

The capacity to collect fingerprints of individuals in online media has revolutionized the way researchers explore human society. Social systems can be seen as a nonlinear superposition multitude complex social networks, where nodes represent and links capture variety different relations. Much emphasis been put on network topology interactions, however, multidimensional nature these interactions largely ignored, mostly because lack data. Here, for first time, we analyze complete,...

The idea that complex systems have a hierarchical modular organization originates in the early 1960s and has recently attracted fresh support from quantitative studies of large scale, real-life networks. Here we investigate (or "modules-within-modules") decomposition human brain functional networks, measured using magnetic resonance imaging (fMRI) 18 healthy volunteers under no-task or resting conditions. We used customized template to extract networks with more than 1800 regional nodes,...

The advent of geographic online social networks such as Foursquare, where users voluntarily signal their current location, opens the door to powerful studies on human movement. In particular fine granularity location data, with GPS accuracy down 10 meters, and worldwide scale Foursquare adoption are unprecedented. this paper we study urban mobility patterns people in several metropolitan cities around globe by analyzing a large set users. Surprisingly, while there variations movement...

In this paper, we use a partition of the links network in order to uncover its community structure. This approach allows for communities overlap at nodes so that may be more than one community. We do by making node line graph original network. way show any algorithm produces can used produce links. discuss role degree heterogeneity and propose weighted version account this.

The spatial structure of large-scale online social networks has been largely unaccessible due to the lack available and accurate data about people’s location. However, with recent surging popularity location-based services, geographic position users have for first time, together their connections. In this work we present a comprehensive study properties arising among three main popular services. We observe robust universal features across them: while all exhibit 40% links below 100 km,...

Random walks are ubiquitous in the sciences, and they interesting from both theoretical practical perspectives. They one of most fundamental types stochastic processes; can be used to model numerous phenomena, including diffusion, interactions, opinions among humans animals; extract information about important entities or dense groups a network. have been studied for many decades on regular lattices (especially last couple decades) networks with variety structures. In present article, we...

Many complex systems are organized in the form of a network embedded space. Important examples include physical Internet infrastucture, road networks, flight connections, brain functional and social networks. The effect space on topology has recently come under spotlight because emergence pervasive technologies based geolocalization, which constantly fill databases with people’s movements thus reveal their trajectories spatial behavior. Extracting patterns regularities from resulting massive...

Abstract A rich repertoire of oscillatory signals is detected from human brains with electro- and magnetoencephalography (EEG/MEG). However, the principles underwriting coherent oscillations their link neural activity remain under debate. Here, we revisit mechanistic hypothesis that transient brain rhythms are a signature metastable synchronization, occurring at reduced collective frequencies due to delays between areas. We consider system damped oscillators in presence background noise –...

A growing portion of offline and online human activities leave digital footprints in electronic databases. Resulting big social data offers unprecedented insights into population-wide patterns detailed characteristics the individuals. The goal this paper is to review literature showing how pervasive records footprints, such as Facebook profile, or mobile device logs, can be used infer personality, a major psychological framework describing differences individual behavior. We briefly...

We study the relationship between Facebook popularity (number of contacts) and personality traits on a large number subjects. test to which extent two prevalent viewpoints hold. That is, popular users (those with many social are ones whose either predict offline (real world) friends or propensity maintain superficial relationships. find that predictor for in real world (Extraversion) is also contacts. then whether people who have contacts able adapt themselves new forms communication,...

Most methods proposed to uncover communities in complex networks rely on their structural properties. Here we introduce the stability of a network partition, measure its quality defined terms statistical properties dynamical process taking place graph. The time-scale acts as an intrinsic parameter that uncovers community structures at different resolutions. extends and unifies standard notions for detection: modularity spectral partitioning can be seen limiting cases our dynamic measure....

We test the hypothesis that brain networks associated with cognitive function shift away from a "small-world" organization following traumatic injury (TBI).We investigated 20 TBI patients and 21 age-matched controls. Resting-state functional MRI was used to study connectivity. Graph theoretical analysis then applied partial correlation matrices derived these data. The presence of white matter damage quantified using diffusion tensor imaging.Patients showed characteristic impairments as well...

Synchronization over networks depends strongly on the structure of coupling between oscillators. When presents certain regularities, dynamics can be coarse-grained into clusters by means External Equitable Partitions network graph and their associated quotient graphs. We exploit this graph-theoretical concept to study phenomenon cluster synchronization, in which different groups nodes converge distinct behaviors. derive conditions properties such clustered behavior emerges, show that ensuing...