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Scale-free networks generated by random walkers

Saramäki, Jari; Kaski, Kimmo - In: Physica A: Statistical Mechanics and its Applications 341 (2004) C, pp. 80-86

We present a simple mechanism for generating undirected scale-free networks using random walkers, where the network …-free networks with degree exponent γ=3 and clustering coefficients depending on random walk length. The mechanism can be interpreted …

Persistent link: https://www.econbiz.de/10011061316

Pair formation within multi-agent populations

Smith, David M.D.; Johnson, Neil F. - In: Physica A: Statistical Mechanics and its Applications 363 (2006) 1, pp. 151-158

We present a simple model for the formation of pairs in multi-agent populations of type A and B which move freely on a spatial network. Each agent of population A (and B) is labeled as Ai (and Bj) with i=1,...,NA (and j=1,...,NB) and carries its own individual list of characteristics or...

Persistent link: https://www.econbiz.de/10011061606

Synchronization of Rössler oscillators on scale-free topologies

Yook, Soon-Hyung; Meyer-Ortmanns, Hildegard - In: Physica A: Statistical Mechanics and its Applications 371 (2006) 2, pp. 781-789

We study the synchronization of Rössler oscillators as prototypes of chaotic systems on scale-free complex networks. As …

Persistent link: https://www.econbiz.de/10011061858

Impact of interactions on human dynamics

Oliveira, J.G.; Vazquez, A. - In: Physica A: Statistical Mechanics and its Applications 388 (2009) 2, pp. 187-192

Queueing theory has been recently proposed as a framework to model the heavy tailed statistics of human activity patterns. The main predictions are the existence of a power-law distribution for the interevent time of human actions and two decay exponents α=1 and α=3/2. Current models lack,...

Persistent link: https://www.econbiz.de/10011061896

Ecological interaction and phylogeny, studying functionality on composed networks

Cruz, Claudia P.T.; Fonseca, Carlos Roberto; Corso, Gilberto - In: Physica A: Statistical Mechanics and its Applications 391 (2012) 3, pp. 673-679

We study a class of composed networks that are formed by two tree networks, TP and TA, whose end points touch each … make use of ecological networks of dispersion of fruits, which are formed by frugivorous animals and plants with fruits …

Persistent link: https://www.econbiz.de/10011062175

Phase transitions and overlapping modules in complex networks

Vicsek, Tamás - In: Physica A: Statistical Mechanics and its Applications 378 (2007) 1, pp. 20-32

Complex systems can be described in terms of networks capturing the intricate web of connections among the units they … are made of. Here we review two aspects of the possible organization of such networks. First, we provide a … phenomenological theory for topological transitions in restructuring networks. In this statistical mechanical approach energy is …

Persistent link: https://www.econbiz.de/10011062182

Growing network: Models following nonlinear preferential attachment rule

Zadorozhnyi, V.N.; Yudin, E.B. - In: Physica A: Statistical Mechanics and its Applications 428 (2015) C, pp. 111-132

We investigate the preferential attachment graphs proceeding from the following two assumptions. The first one: the probability that a new vertex connects to a vertex i is proportional to an arbitrary nonnegative function f of a vertex degree k. The second assumption: a new vertex can have a...

Persistent link: https://www.econbiz.de/10011209723

The web graph of a tourism system

Baggio, Rodolfo - In: Physica A: Statistical Mechanics and its Applications 379 (2007) 2, pp. 727-734

The website network of a tourism destination is examined. Network theoretic metrics are used to gauge the static and dynamic characteristics of the webspace. The topology of the network is found partly similar to the one exhibited by similar systems. However, some differences are found, mainly...

Persistent link: https://www.econbiz.de/10010872043

Random networks: eigenvalue spectra

Dorogovtsev, S.N.; Goltsev, A.V.; Mendes, J.F.F.; … - In: Physica A: Statistical Mechanics and its Applications 338 (2004) 1, pp. 76-83

-like random graphs gives a good description of the spectral properties of real-life networks like the Internet. … spectra of networks with a local tree-like structure are presented. We propose a simple approximation, and in the framework of …

Persistent link: https://www.econbiz.de/10010872314

Power-law distributions resulting from finite resources

Wilhelm, Thomas; Hänggi, Peter - In: Physica A: Statistical Mechanics and its Applications 329 (2003) 3, pp. 499-508

An elementary stochastic model, termed the normalization model, is put forward which does demonstrate that power-laws generically occur in systems with finite resources. The model is capable to exhibit power-law distributions with arbitrary power law exponents; nevertheless, for a large fraction...

Persistent link: https://www.econbiz.de/10011063694