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In this review we establish various connections between complex networks and symmetry. While special types of symmetries (e.g., automorphisms) are studied in detail within discrete mathematics for particular classes of deterministic graphs,…

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

In this paper, we consider a population of individuals who have actions and opinions, which coevolve, mutually influencing one another on a complex network structure. In particular, we formulate a control problem for this social network, in…

Systems and Control · Electrical Eng. & Systems 2026-05-12 Roberta Raineri , Mengbin Ye , Lorenzo Zino

To understand how the interconnected and interdependent world of the twenty-first century operates and make model-based predictions, joint probability models for networks and interdependent outcomes are needed. We propose a comprehensive…

Methodology · Statistics 2025-07-03 Cornelius Fritz , Michael Schweinberger , Subhankar Bhadra , David R. Hunter

It is shown that as knowledge is structured, it comes in modules. This provides different " layers of reality ". Each layer of reality has its own distinctive inductive logic which may differ from that of the others. All this is woven…

General Physics · Physics 2007-05-23 Afsar Abbas

The friendship paradox is the phenomenon that in social networks, people on average have fewer friends than their friends do. The generalized friendship paradox is an extension to attributes other than the number of friends. The friendship…

Social and Information Networks · Computer Science 2016-02-12 Naghmeh Momeni , Michael Rabbat

Complex networks in natural, social, and technological systems generically exhibit an abundance of rich information. Extracting meaningful structural features from data is one of the most challenging tasks in network theory. Many methods…

Physics and Society · Physics 2012-06-04 Daniel Grady , Christian Thiemann , Dirk Brockmann

Power law degree distribution was shown in many complex networks. However, in most real systems, deviation from power-law behavior is observed in social and economical networks and emergence of giant hubs is obvious in real network…

Physics and Society · Physics 2013-01-22 A. H. Shirazi , A. Namaki , A. A. Roohi , G. R. Jafari

How do networks of relationships evolve over time? We analyse a dataset tracking the social interactions of 900 individuals over four years. Despite continuous shifts in individual relationships, the macroscopic structural properties of the…

Physics and Society · Physics 2025-06-04 Miguel A. González-Casado , Andreia Sofia Teixeira , Angel Sánchez

Many real-world processes evolve in cascades over complex networks, whose topologies are often unobservable and change over time. However, the so-termed adoption times when blogs mention popular news items, individuals in a community catch…

Social and Information Networks · Computer Science 2013-09-30 Brian Baingana , Gonzalo Mateos , Georgios B. Giannakis

In this paper, we investigate stable matching in structured networks. Consider case of matching in social networks where candidates are not fully connected. A candidate on one side of the market gets acquaintance with which one on the…

Computer Science and Game Theory · Computer Science 2015-11-27 Ying Ling , Tao Wan , Zengchang Qin

Social scientists have long appreciated that relationships between individuals cannot be described from observing a single domain, and that the structure across domains of interaction can have important effects on outcomes of interest…

General Economics · Economics 2020-05-28 Curtis Atkisson , Piotr J. Górski , Matthew O. Jackson , Janusz A. Hołyst , Raissa M. D'Souza

Heterogeneous networks play a key role in the evolution of communities and the decisions individuals make. These networks link different types of entities, for example, people and the events they attend. Network analysis algorithms usually…

Computers and Society · Computer Science 2016-11-17 Rumi Ghosh , Kristina Lerman

One widely-existed state --``harmony with diversity" in which individuals freely express various viewpoints to sustain integration of social diversity, but at the same time shared values ensure social coherence, can be considered as the…

Physics and Society · Physics 2023-04-26 Peng-Bi Cui

We analyze information diffusion using empirical data that tracks online communication around two instances of mass political mobilization, including the year that lapsed in-between the protests. We compare the global properties of the…

Physics and Society · Physics 2015-06-16 Raquel A. Baños , Javier Borge-Holthoefer , Ning Wang , Yamir Moreno , Sandra González-Bailón

Interactive consistency is the problem in which n nodes, where up to t may be byzantine, each with its own private value, run an algorithm that allows all non-faulty nodes to infer the values of each other node. This problem is relevant to…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-07-28 Panos Diamantopoulos , Stathis Maneas , Christos Patsonakis , Nikos Chondros , Mema Roussopoulos

A vast amount of textual web streams is influenced by events or phenomena emerging in the real world. The social web forms an excellent modern paradigm, where unstructured user generated content is published on a regular basis and in most…

Machine Learning · Computer Science 2012-08-15 Vasileios Lampos

We study the emergence of coherence in complex networks of mutually coupled non-identical elements. We uncover the precise dependence of the dynamical coherence on the network connectivity, on the isolated dynamics of the elements and the…

Adaptation and Self-Organizing Systems · Physics 2013-08-09 Tiago Pereira , Deniz Eroglu , G. B. Bagci , U. Tirnakli , Henrik J. Jensen

One of the main organizing principles in real-world social, information and technological networks is that of network communities, where sets of nodes organize into densely linked clusters. Even though detection of such communities is of…

Social and Information Networks · Computer Science 2012-09-27 Jaewon Yang , Jure Leskovec

As the consequences of opinion polarization effect our everyday life in more and more aspect, the understanding of its origins and driving forces becomes increasingly important. Here we develop an agent-based network model with realistic…

Physics and Society · Physics 2024-09-26 Zoltan Kovács , Anna Zafeiris , Gergely Palla

In the sequential learning problem, agents in a network attempt to predict a binary ground truth, informed by both a noisy private signal and the predictions of neighboring agents before them. It is well known that social learning in this…

Social and Information Networks · Computer Science 2026-02-10 William Guo , Edward Xiong , Jie Gao