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The Ego Network Model (ENM) describes how individuals organise their social relations in concentric circles (typically five) of decreasing intimacy, and it has been found almost ubiquitously in social networks, both offline and online. The…

Social and Information Networks · Computer Science 2022-12-02 Jack Tacchi , Chiara Boldrini , Andrea Passarella , Marco Conti

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

We propose a simple model of influence in a network, based on edge density. In the model vertices (people) follow the opinion of the group they belong to. The opinion percolates down from an active vertex, the influencer, at the head of the…

Discrete Mathematics · Computer Science 2023-05-15 Colin Cooper , Nan Kang , Tomasz Radzik

In complex networks, the rich-get-richer effect (nodes with high degree at one point in time gain more degree in their future) is commonly observed. In practice this is often studied on a static network snapshot, for example, a preferential…

Social and Information Networks · Computer Science 2025-02-05 Matthew Russell Barnes , Vincenzo Nicosia , Richard G. Clegg

Time series classification is a widely studied problem in the field of time series data mining. Previous research has predominantly focused on scenarios where relevant or foreground subsequences have already been extracted, with each…

It is commonly believed that patterns of social ties affect individuals' economic status. Here, we translate this concept into an operational definition at the network level, which allows us to infer the economic wellbeing of individuals…

Physics and Society · Physics 2017-05-24 Shaojun Luo , Flaviano Morone , Carlos Sarraute , Matías Travizano , Hernán A. Makse

Node centrality is one of the most important and widely used concepts in the study of complex networks. Here, we extend the paradigm of node centrality in financial and economic networks to consider the changes of node "importance" produced…

Mathematical Finance · Quantitative Finance 2020-06-05 Paolo Bartesaghi , Michele Benzi , Gian Paolo Clemente , Rosanna Grassi , Ernesto Estrada

We focus on the problem of how wealth is distributed among the units of a networked economic system. We first review the empirical results documenting that in many economies the wealth distribution is described by a combination of…

General Finance · Quantitative Finance 2008-12-02 Diego Garlaschelli , Maria I. Loffredo

Social networks are organized into communities with dense internal connections, giving rise to high values of the clustering coefficient. In addition, these networks have been observed to be assortative, i.e. highly connected vertices tend…

Physics and Society · Physics 2016-09-08 R. Toivonen , J. -P. Onnela , J. Saramäki , J. Hyvönen , K. Kaski

A model of distribution of the wealth in a society based on the properties of complex networks has been proposed. The wealth is interpreted as a consequence of communication possibilities and proportional to the number of connections…

Physics and Society · Physics 2010-10-12 D. Lande , A. Snarskii , M. Zhenirovskyy

We present a study of information flow that takes into account the observation that an item relevant to one person is more likely to be of interest to individuals in the same social circle than those outside of it. This is due to the fact…

Statistical Mechanics · Physics 2009-11-10 Fang Wu , Bernardo A. Huberman , Lada A. Adamic , Joshua Tyler

The usual definitions of algorithmic fairness focus on population-level statistics, such as demographic parity or equal opportunity. However, in many social or economic contexts, fairness is not perceived globally, but locally, through an…

Theoretical Economics · Economics 2026-01-14 Arthur Charpentier

Most social, technological and biological networks are embedded in a finite dimensional space, and the distance between two nodes influences the likelihood that they link to each other. Indeed, in social systems, the chance that two…

Physics and Society · Physics 2018-06-27 Paul Balister , Chaoming Song , Oliver Riordan , Bela Bollobas , Albert-Laszlo Barabasi

Network analysis provides powerful tools to learn about a variety of social systems. However, most analyses implicitly assume that the considered relational data is error-free, reliable and accurately reflects the system to be analysed.…

Social and Information Networks · Computer Science 2022-01-12 Felix I. Stamm , Leonie Neuhäuser , Florian Lemmerich , Michael T. Schaub , Markus Strohmaier

The structure and the properties of complex networks essentially depend on the way how nodes get connected to each other. We assume here that each node has a feature which attracts the others. We model the situation by assigning two numbers…

Statistical Mechanics · Physics 2009-11-10 Philippe Blanchard , Santo Fortunato , Tyll Krueger

Many online social networks are fundamentally directed, i.e., they consist of both reciprocal edges (i.e., edges that have already been linked back) and parasocial edges (i.e., edges that haven't been linked back). Thus, understanding the…

Social and Information Networks · Computer Science 2014-04-16 Neil Zhenqiang Gong , Wenchang Xu

We investigate how suitable a weighted network is for gossip spreading. The proposed model is based on the gossip spreading model introduced by Lind et.al. on unweighted networks. Weight represents "friendship." Potential spreader prefers…

Social and Information Networks · Computer Science 2012-11-05 Mursel Tasgin , Haluk O. Bingol

The presence of hierarchy in many real-world networks is not yet fully explained. Complex interaction networks are often coarse-grain models of vast modular networks, where tightly connected subgraphs are agglomerated into nodes for…

Physics and Society · Physics 2021-02-24 C. Tyler Diggans , Jeremie Fish , Erik Bollt

Distributed algorithms for network science applications are of great importance due to today's large real-world networks. In such algorithms, a node is allowed only to have local interactions with its immediate neighbors. This is because…

Social and Information Networks · Computer Science 2019-06-21 Hamidreza Mahyar , Rouzbeh Hasheminezhad , H Eugene Stanley

Preferential attachment is an appealing edge generating mechanism for modeling social networks. It provides both an intuitive description of network growth and an explanation for the observed power laws in degree distributions. However,…

Methodology · Statistics 2017-12-21 Phyllis Wan , Tiandong Wang , Richard A. Davis , Sidney I. Resnick
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