Comparing bird and human soaring strategies (2009)
Akos, Zsuzsa, Nagy, Mate, Vicsek, Tamas
Gliding saves much energy, and to make large distances using only this form of flight represents a great challenge for both birds and people. The solution is to make use of the so-called thermals,...
Fundamental statistical features and self-similar properties of tagged networks (2008)
Palla, Gergely, Farkas, Illes J., Pollner, Peter, Derenyi, Imre, Vicsek, Tamas
We investigate the fundamental statistical features of tagged (or annotated) networks having a rich variety of attributes associated with their nodes. Tags (attributes, annotations, properties,...
Centrality properties of directed module members in social networks (2008)
Pollner, Peter, Palla, Gergely, Abel, Daniel, Vicsek, Andras, Farkas, Illes J., Derenyi, Imre, ...
Several recent studies of complex networks have suggested algorithms for locating network communities, also called modules or clusters, which are mostly defined as groups of nodes with dense internal...
Turning with the others: novel transitions in an SPP model with coupling of accelerations (2008)
Szabo, Peter, Nagy, Mate, Vicsek, Tamas
We consider a three dimensional, generalized version of the original SPP model for collective motion. By extending the factors influencing the ordering, we investigate the case when the movement of...
Phase transition in the scalar noise model of collective motion in three dimensions (2007)
Gonci, Balazs, Nagy, Mate, Vicsek, Tamas
We consider disorder-order phase transitions in the three-dimensional version of the scalar noise model (SNM) of flocking. Our results are analogous to those found for the two-dimensional case. For...
Quantifying social group evolution (2007)
Palla, Gergely, Barabasi, Albert-Laszlo, Vicsek, Tamas
The rich set of interactions between individuals in the society results in complex community structure, capturing highly connected circles of friends, families, or professional cliques in a social...
Directed network modules (2007)
Palla, Gergely, Farkas, Illes J., Pollner, Peter, Derenyi, Imre, Vicsek, Tamas
A search technique locating network modules, i.e., internally densely connected groups of nodes in directed networks is introduced by extending the Clique Percolation Method originally proposed for...
Weighted network modules (2007)
Farkas, Illes J., Abel, Daniel, Palla, Gergely, Vicsek, Tamas
The inclusion of link weights into the analysis of network properties allows a deeper insight into the (often overlapping) modular structure of real-world webs. We introduce a clustering algorithm...
Spontaneously ordered motion of self-propelled particles (2006)
Czirok, Andras, Stanley, H. Eugene, Vicsek, Tamas
We study a biologically inspired, inherently non-equilibrium model consisting of self-propelled particles. In the model, particles move on a plane with a velocity of constant magnitude; they locally...
Collective behavior of interacting self-propelled particles (2006)
We discuss biologically inspired, inherently non-equilibrium self-propelled particle models, in which the particles interact with their neighbours by choosing at each time step the local average...
Novel type of phase transition in a system of self-driven particles (2006)
Vicsek, Tamas, Czirok, Andras, Ben-Jacob, Eshel, Cohen, Inon, Sochet, Ofer
A simple model with a novel type of dynamics is introduced in order to investigate the emergence of self-ordered motion in systems of particles with biologically motivated interaction. In our model...
Nagy, Mate, Daruka, Istvan, Vicsek, Tamas
In this paper we present our detailed investigations on the nature of the phase transition in the scalar noise model (SNM) of collective motion. Our results confirm the original findings of Vicsek et...
Phase transition in the collective migration of tissue cells: experiment and model (2006)
Szabo, Balint, Szollosi, Gergely J., Gonci, Balazs, Juranyi, Zsofi, Selmeczi, David, Vicsek, Tamas
We have recorded the swarming-like collective migration of a large number of keratocytes (tissue cells obtained from the scales of goldfish) using long-term videomicroscopy. By increasing the overall...
The critical point of k-clique percolation in the Erdos-Renyi graph (2006)
Palla, Gergely, Derenyi, Imre, Vicsek, Tamas
Motivated by the success of a k-clique percolation method for the identification of overlapping communities in large real networks, here we study the k-clique percolation problem in the Erdos-Renyi...
CFinder: Locating cliques and overlapping modules in biological networks (2006)
Adamcsek, Balazs, Palla, Gergely, Farkas, Illes J., Derenyi, Imre, Vicsek, Tamas
Summary: Most cellular tasks are performed not by individual proteins, but by groups of functionally associated proteins, often referred to as modules. In a protein assocation network modules appear...
Preferential attachment of communities: the same principle, but a higher level (2006)
Pollner, Peter, Palla, Gergely, Vicsek, Tamas
The graph of communities is a network emerging above the level of individual nodes in the hierarchical organisation of a complex system. In this graph the nodes correspond to communities (highly...
Farkas, Illes J., Vicsek, Tamas
An interesting example for collective decision making is the so-called Mexican wave during which the spectators in a stadium leap to their feet with their arms up and then sit down again following...
Uncovering the overlapping community structure of complex networks in nature and society (2005)
Palla, Gergely, Derenyi, Imre, Farkas, Illes, Vicsek, Tamas
Many complex systems in nature and society can be described in terms of networks capturing the intricate web of connections among the units they are made of. A key question is how to interpret the...
Clique percolation in random networks (2005)
Derenyi, Imre, Palla, Gergely, Vicsek, Tamas
The notion of k-clique percolation in random graphs is introduced, where k is the size of the complete subgraphs whose large scale organizations are analytically and numerically investigated. For the...
Reverse engineering of linking preferences from network restructuring (2004)
Palla, Gergely, Farkas, Illes, Derenyi, Imre, Barabasi, Albert-Laszlo, Vicsek, Tamas
We provide a method to deduce the preferences governing the restructuring dynamics of a network from the observed rewiring of the edges. Our approach is applicable for systems in which the...
Statistical mechanics of topological phase transitions in networks (2003)
Palla, Gergely, Derenyi, Imre, Farkas, Illes, Vicsek, Tamas
We provide a phenomenological theory for topological transitions in restructuring networks. In this statistical mechanical approach energy is assigned to the different network topologies and...
Topological phase transitions of random networks (2003)
Derenyi, Imre, Farkas, Illes, Palla, Gergely, Vicsek, Tamas
To provide a phenomenological theory for the various interesting transitions in restructuring networks we employ a statistical mechanical approach with detailed balance satisfied for the transitions...
Simulation software for 'Simulating Dynamical Features of Escape Panic' (2003)
Helbing, Dirk, Farkas, Illes, Vicsek, Tamas
Simulation software used to produce results in cond-mat/0009448 -- published as Helbing et.al, Simulating Dynamical Features of Escape Panic, Nature 407, 487-490 (2000) -- has been made available via...
DNA uptake into nuclei: Numerical and analytical results (2002)
Farkas, Zeno, Derenyi, Imre, Vicsek, Tamas
The dynamics of polymer translocation through a pore has been the subject of recent theoretical and experimental works. We have considered theoretical estimates and performed computer simulations to...
Crowd behaves as excitable media during Mexican wave (2002)
Farkas, Illes, Helbing, Dirk, Vicsek, Tamas
Mexican wave, or La Ola, first widely broadcasted during the 1986 World Cup held in Mexico, is a human wave moving along the stands of stadiums as one section of spectators stands up, arms lifting,...
Protein induced morphological transitions in KCl crystal growth (2002)
We investigated the formation of KCl crystals on glass surface by phase contrast, fluorescent, and atomic force microscopy on the micrometer scale, and observed interesting morphological transitions...
Deterministic Scale-Free Networks (2001)
Barabasi, Albert-Laszlo, Ravasz, Erzsebet, Vicsek, Tamas
Scale-free networks are abundant in nature and society, describing such diverse systems as the world wide web, the web of human sexual contacts, or the chemical network of a cell. All models used to...
Spectra of "Real-World" Graphs: Beyond the Semi-Circle Law (2001)
Farkas, Illes J., Derenyi, Imre, Barabasi, Albert-Laszlo, Vicsek, Tamas
Many natural and social systems develop complex networks, that are usually modelled as random graphs. The eigenvalue spectrum of these graphs provides information about their structural properties....
Segregation of granular binary mixtures by a ratchet mechanism (2001)
Farkas, Zeno, Szalai, Ferenc, Wolf, Dietrich E., Vicsek, Tamas
We report on a segregation scheme for granular binary mixtures, where the segregation is performed by a ratchet mechanism realized by a vertically shaken asymmetric sawtooth-shaped base in a...
Simulating Dynamical Features of Escape Panic (2000)
Helbing, Dirk, Farkas, Illes, Vicsek, Tamas
One of the most disastrous forms of collective human behaviour is the kind of crowd stampede induced by panic, often leading to fatalities as people are crushed or trampled. Sometimes this behaviour...
Theory of periodic swarming of bacteria: application to Proteus mirabilis (2000)
Czirok, Andras, Matsushita, Mitsugu, Vicsek, Tamas
The periodic swarming of bacteria is one of the simplest examples for pattern formation produced by the self-organized collective behavior of a large number of organisms. In the spectacular colonies...
Freezing by Heating in a Driven Mesoscopic System (1999)
Helbing, Dirk, Farkas, Illes, Vicsek, Tamas
We investigate a simple model corresponding to particles driven in opposite directions and interacting via a repulsive potential. The particles move off-lattice on a periodic strip and are subject to...
Optimal Self-Organization (1999)
We present computational and analytical results indicating that systems of driven entities with repulsive interactions tend to reach an optimal state associated with minimal interaction and minimal...
Self-Organised Optimality in Driven Systems with Symmetrical Interactions (1999)
Extremal principles are fundamental in our interpretation of phenomena in nature. One of the best known examples is the second law of thermodynamics, governing most physical and chemical systems and...
Realistic Models of Biological Motion (1998)
The origin of biological motion can be traced back to the function of molecular motor proteins. Cytoplasmic dynein and kinesin transport organelles within our cells moving along a polymeric filament,...
Lattice-gas model for collective biological motion (1998)
A simple self-driven lattice-gas model for collective biological motion is introduced. We find weakly first order phase transition from individual random walks to collective migration. A mean-field...
Cooperative Transport of Brownian Particles (1998)
We consider the collective motion of finite-sized, overdamped Brownian particles (e.g., motor proteins) in a periodic potential. Simulations of our model have revealed a number of novel cooperative...
The kinesin walk: a dynamic model with elastically coupled heads (1998)
Recently individual two-headed kinesin molecules have been studied in in vitro motility assays revealing a number of their peculiar transport properties. In this paper we propose a simple and robust...
Collective motion of self-propelled particles: kinetic phase transition in one dimension (1997)
Czirok, Andras, Barabasi, Albert-Laszlo, Vicsek, Tamas
We demonstrate that a system of self-propelled particles (SPP) exhibits spontaneous symmetry breaking and self-organization in one dimension, in contrast with previous analytical predictions. To...