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We exploit the symmetry concepts developed in the companion review of this article to introduce a stochastic version of link reversal symmetry, which leads to an improved understanding of the reciprocity of directed networks. We apply our…

General Finance · Quantitative Finance 2010-11-04 Franco Ruzzenenti , Diego Garlaschelli , Riccardo Basosi

We propose a novel class of network models for temporal dyadic interaction data. Our goal is to capture a number of important features often observed in social interactions: sparsity, degree heterogeneity, community structure and…

Machine Learning · Statistics 2018-10-30 Xenia Miscouridou , François Caron , Yee Whye Teh

Just as a herd of animals relies on its robust social structure to survive in the wild, similarly robustness is a crucial characteristic for the survival of a complex network under attack. The capacity to measure robustness in complex…

Networking and Internet Architecture · Computer Science 2008-11-27 Ali Sydney , Caterina Scoglio , Phillip Schumm , Robert Kooij

In most networks, the connection between a pair of nodes is the result of their mutual affinity and attachment. In this letter, we will propose a Mutual Attraction Model to characterize weighted evolving networks. By introducing the initial…

Disordered Systems and Neural Networks · Physics 2009-11-11 Wen-Xu Wang , Bo Hu , Bing-Hong Wang , Gang Yan

Individuals are always limited by some inelastic resources, such as time and energy, which restrict them to dedicate to social interaction and limit their contact capacity. Contact capacity plays an important role in dynamics of social…

Physics and Society · Physics 2015-12-25 Wei Wang , Panpan Shu , Yu-Xiao Zhu , Ming Tang , Yi-Cheng Zhang

Here we investigate the dynamics of indirect reciprocity on networks, a type of social dynamics in which the attitude of individuals, either cooperative or antagonistic, toward other individuals changes over time by their actions and mutual…

Physics and Society · Physics 2021-09-01 Koji Oishi , Shuhei Miyano , Kimmo Kaski , Takashi Shimada

It has been discovered recently that many social, biological and ecological systems have the so-called small-world and scale-free features, which has provoked new research interest in the studies of various complex networks. Yet, most…

Disordered Systems and Neural Networks · Physics 2007-05-23 Chunguang Li , Guanrong Chen

The surrounding of a vertex in a network can be more or less symmetric. We derive measures of a specific kind of symmetry of a vertex which we call degree symmetry -- the property that many paths going out from a vertex have overlapping…

Data Analysis, Statistics and Probability · Physics 2007-05-23 Petter Holme

Dense networks with weighted connections often exhibit a community like structure, where although most nodes are connected to each other, different patterns of edge weights may emerge depending on each node's community membership. We…

Machine Learning · Statistics 2021-05-27 Benjamin Leinwand , Vladas Pipiras

Social networks are made out of strong and weak ties having very different structural and dynamical properties. But, what features of human interaction build a strong tie? Here we approach this question from an practical way by finding what…

Physics and Society · Physics 2017-06-21 Henry Navarro , Giovanna Miritello , Arturo Canales , Esteban Moro

Modularity is a popular metric for quantifying the degree of community structure within a network. The distribution of the largest eigenvalue of a network's edge weight or adjacency matrix is well studied and is frequently used as a…

Methodology · Statistics 2020-07-15 Rong Ma , Ian Barnett

Understanding how cooperation evolves in structured populations remains a fundamental question across diverse disciplines. The problem of cooperation typically involves pairwise or group interactions among individuals. While prior studies…

Physics and Society · Physics 2025-06-26 Dini Wang , Peng Yi , Gang Yan , Feng Fu

Social interactions vary in time and appear to be driven by intrinsic mechanisms, which in turn shape the emerging structure of the social network. Large-scale empirical observations of social interaction structure have become possible only…

Physics and Society · Physics 2015-12-09 Guillaume Laurent , Jari Saramäki , Márton Karsai

For most networks, the connection between two nodes is the result of their mutual affinity and attachment. In this paper, we propose a mutual selection model to characterize the weighted networks. By introducing a general mechanism of…

Statistical Mechanics · Physics 2009-11-11 Wen-Xu Wang , Bu Hu , Tao Zhou , Bing-Hong Wang , Yan-Bo Xie

We investigate critical behaviors of a social contagion model on weighted networks. An edge-weight compartmental approach is applied to analyze the weighted social contagion on strongly heterogenous networks with skewed degree and weight…

Physics and Society · Physics 2017-07-12 Yu-Xiao Zhu , Wei Wang , Ming Tang , Yong-Yeol Ahn

In communication networks theory the concepts of networkness and network surplus have recently been defined. Together with transmission and betweenness centrality, they were based on the assumption of equal communication between vertices.…

Combinatorics · Mathematics 2017-12-05 Suzana Antunović , Tonći Kokan , Tanja Vojković , Damir Vukičević

Experimental evidence suggests that human decisions involve a mixture of self-interest and internalized social norms which cannot be accounted for by the Nash equilibrium behavior of Homo Oeconomicus. This led to the notion of strong…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 R. Vilela Mendes

The paper provides important insights into understanding the factors that influence tie strength in social networks. Using local network measures that take into account asymmetry of social interactions we show that the observed tie strength…

Social and Information Networks · Computer Science 2023-06-28 Kamil P. Orzechowski , Maciej J. Mrowinski , Agata Fronczak , Piotr Fronczak

The network reciprocity is an important dynamic rule fostering the emergence of cooperation among selfish individuals. This was reported firstly in the seminal work of Nowak and May, where individuals were arranged on the regular lattice…

Adaptation and Self-Organizing Systems · Physics 2015-06-15 Gui-Qing Zhang , Qi-Bo Sun , Lin Wang

Research on the vulnerability of electric networks with a complex network approach has produced significant results in the last decade, especially for transmission networks. These studies have shown that there are causal relations between…

Physics and Society · Physics 2024-09-11 Bálint Hartmann , Tamás Soha , Michelle T. Cirunay , Tímea Erdei