The voter model has been studied extensively as a paradigmatic opinion dynamics model. However, its ability to real not addressed. We introduce noisy (accounting for social influence) with recurrent mobility of agents (as proxy context), where the spatial and population diversity are taken inputs show that can be described diffusive process contains proper anisotropic coupling topology given by heterogeneity. captures statistical features U.S. presidential elections stationary vote-share...

We analyze the ordering dynamics of voter model in different classes complex networks. observe that whether orders system depends on effective dimensionality interaction also find when there is no system, average survival time metastable states finite networks decreases with network disorder and degree heterogeneity. The existence hubs, i.e., highly connected nodes, modifies linear size scaling law time. an ordered domain sensitive to degree, decreasing both; however, it seems not depend...

We consider the voter model dynamics in random networks with an arbitrary distribution of degree nodes. find that for usual node-update average magnetization is not conserved, while weighted by node conserved. However, a link-update still For particular case Barabási-Albert scale-free network, leads to partially ordered metastable state finite-size survival time. This characteristic time scales linearly system size only when updating rule respects conservation law magnetization. scaling...

The article explores the concept of infodemics during COVID-19 pandemic, focusing on propagation false or inaccurate information proliferating worldwide throughout SARS-CoV-2 health crisis. We provide an overview disinformation, misinformation and malinformation discuss notion “fake news”, highlight threats these phenomena bear for policies national international security. mis-/disinformation as a significant challenge to public health, intelligence, policymaking communities necessity design...

Abstract Spread over complex networks is a ubiquitous process with increasingly wide applications. Locating spread sources often important, e.g. finding the patient one in epidemics, or source of rumor spreading social network. Pinto, Thiran and Vetterli introduced an algorithm (PTVA) to solve important case this problem which limited set nodes act as observers report times at reached them. PTVA uses all find solution. Here we propose new approach low quality information (i.e. large...

Structural balance has been posited as one of the factors influencing how friendly and hostile relations social actors evolve over time. This study investigates behavior Heider model in Erd\"os-R\'enyi random graphs presence a noisy environment, particularly transition from an initially entirely positively polarized paradise state to disordered phase. We examine both single-layer bilayer network configurations provide mean-field solution for average link polarization that predicts...

Universal scaling of distances between vertices Erdos-Renyi random graphs, scale-free Barabasi-Albert models, science collaboration networks, biological Internet Autonomous Systems and public transport networks are observed. A mean distance two nodes degrees k_i k_j equals to <l_{ij}>=A-B log(k_i k_j). The is valid over several decades. simple theory for the appearance this presented. Parameters B depend on value a node degree <k>_nn calculated nearest neighbors network clustering coefficients.

Wikipedia, as a social phenomenon of collaborative knowledge creation, has been studied extensively from various points view. The category system introduced in 2004, attracted relatively little attention. In this study, we focus on the documentation knowledge, and transformation with time. We take Wikipedia sample general its an aspect structure knowledge. investigate evolution English birth 2004 to 2008. treat if it is hierarchical Knowledge Organization System, capturing changes...

We investigate analytically the behavior of Ising model on two connected Barabasi-Albert networks. Depending relative ordering both networks there are possible phases corresponding to parallel or antiparallel alignment spins in A difference between critical temperatures disappears limit vanishing inter-network coupling for identical The analytic predictions confirmed by numerical simulations.

Heider's structural balance theory has proven invaluable in comprehending the dynamics of social groups characterized by both friendly and hostile relationships. Since people's relations are rarely single faceted, we investigate Heider on a multiplex network, consisting several copies same agent displaying correlated at different layers building multiplex. Intralayer interactions our model adhere to dynamics, while interlayer correlations stem from Ising interactions, with heat-bath link...

In this paper, we investigate the behavior of Ising model on two sparsely connected complex networks. The networks have topology a random graph or Barabási and Albert scale-free We extend our previous analysis show that bistable-monostable phase transition occurs in such systems. During transition, magnetization undergoes discontinuous jump. calculate critical temperature analytically for regular graphs study more general case using an iterative map corresponding to mean-field dynamics....

This study analyzes the differences between category structure of Universal Decimal Classification (UDC) system (which is one widely used library classification systems in Europe) and Wikipedia. In particular, authors compare emerging category-links to classes UDC. The scrutinize question how knowledge maps same domain differ when they are created socially (i.e. Wikipedia) as opposed formally using theory. As a case study, we focus on “Arts”.

Categories, Contexts and Relations in Knowledge Organization , page I - X

We consider the process of reaching final state in coevolving voter model. There is a coevolution dynamics, where node can copy from random neighbor with probabilty $1\ensuremath{-}p$ and link rewire its to another same probability $p$. That exhibits an absorbing transition frozen phase above critical value rewiring probability. Our analytical numerical studies show that active mean values magnetization nodes $n$ links $m$ tend depends on initial conditions. In similar way degrees spins up...

Abstract In recent years, research on methods for locating a source of spreading phenomena in complex networks has seen numerous advances. Such can be applied not only to searching the “patient zero” epidemics, but also finding true sources false or malicious messages circulating online social networks. Many solving this problem have been established and tested various circumstances. Yet, we still lack reviews that would include direct comparison efficiency these methods. paper, provide...

We study an adaptive network model driven by a nonlinear voter dynamics. Each node in the represents and can be one of two states that correspond to different opinions shared voters. A disagreeing with its neighbor's opinion may either adopt it or rewire link another randomly chosen any opinion. The system is studied means pair approximation which distinction between average degrees nodes made. This approach allows us identify dynamically active phases: symmetric asymmetric one. phase,...

Nowadays it is not uncommon to have deal with dissemination on multilayer networks and often finding the source of said propagation can be a crucial task. We examine issue locating Susceptible–Infected spreading process in network using Bayesian inference maximum likelihood method established for general adapted here cover topology. show how its accuracy depends parameters find existence two parameter ranges different behavior. If inter-network rate low, observations layers interfere,...