Degree-based graph construction (2009)
Kim, Hyunju, Toroczkai, Zoltan, Erdős, Péter L., Miklós, István, Székely, László Á.
Degree-based graph construction is an ubiquitous problem in network modeling, ranging from social sciences to chemical compounds and biochemical reaction networks in the cell. This problem includes...
Optimization in Networks (2007)
Motter, Adilson E., Toroczkai, Zoltan
The recent surge in the network modeling of complex systems has set the stage for a new era in the study of fundamental and applied aspects of optimization in collective behavior. This Focus Issue...
Network Structure of Protein Folding Pathways (2007)
Ravasz, Erzsebet, Gnanakaran, S., Toroczkai, Zoltan
The classical approach to protein folding inspired by statistical mechanics avoids the high dimensional structure of the conformation space by using effective coordinates. Here we introduce a network...
Congestion-gradient driven transport on complex networks (2006)
Danila, Bogdan, Yu, Yong, Earl, Samuel, Marsh, John A., Toroczkai, Zoltan, Bassler, Kevin E.
We present a study of transport on complex networks with routing based on local information. Particles hop from one node of the network to another according to a set of routing rules with different...
It has recently been recognized that a large number of complex networks are scale-free, having a power-law degree distribution. Here we propose that the emergence of many scale-free networks is tied...
Toroczkai, Zoltan, Kozma, Balazs, Bassler, Kevin E., Hengartner, N. W., Korniss, G.
We define gradient networks as directed graphs formed by local gradients of a scalar field distributed on the nodes of a substrate network G. We derive an exact expression for the in-degree...
Universality in active chaos (2004)
Tel, Tamas, Nishikawa, Takashi, Motter, Adilson E., Grebogi, Celso, Toroczkai, Zoltan
Many examples of chemical and biological processes take place in large-scale environmental flows. Such flows generate filamental patterns which are often fractal due to the presence of chaos in the...
Anghel, M., Toroczkai, Zoltan, Bassler, Kevin E., Korniss, G.
Using the minority game as a model for competition dynamics, we investigate the effects of inter-agent communications on the global evolution of the dynamics of a society characterized by competition...
Analytic Results For Hopping Models With Excluded Volume Constraint (1997)
The Theory of Brownian Vacancy Driven Walk (ABSTRACT) We analyze the lattice walk performed by a tagged member of an infinite `sea' of particles filling a d-dimensional lattice, in the presence of a...
Analytic Results For Hopping Models With Excluded Volume Constraint (1997)
The Theory of Brownian Vacancy Driven Walk (ABSTRACT) We analyze the lattice walk performed by a tagged member of an infinite `sea' of particles filling a d-dimensional lattice, in the presence of a...
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Analytic results for hopping models with excluded volume constraint (1997)
Thesis (Ph. D.)--Virginia Polytechnic Institute and State University, 1997.
Analytic results for hopping models with excluded volume constraint (1997)
Thesis (Ph. D.)--Virginia Polytechnic Institute and State University, 1997.