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The alignment strength of a graph matching is a quantity that gives the practitioner a measure of the correlation of the two graphs, and it can also give the practitioner a sense for whether the graph matching algorithm found the true…

A concept of implicit links for Complex Networks has been defined and a new value - cohesion factor, which allows to evaluate numerically the presence of such connection between any two nodes, has been introduced. We introduce a…

Disordered Systems and Neural Networks · Physics 2010-08-25 M. I. Zhenirovskyy , D. V. Lande , A. A. Snarskii

In various applications involving complex networks, network measures are employed to assess the relative importance of network nodes. However, the robustness of such measures in the presence of link inaccuracies has not been well…

Physics and Society · Physics 2014-01-15 John Platig , Ed Ott , Michelle Girvan

In this paper, the defining properties of a valid measure of the dependence between two random variables are reviewed and complemented with two original ones, shown to be more fundamental than other usual postulates. While other popular…

Methodology · Statistics 2019-12-03 Gery Geenens , Pierre Lafaye de Micheaux

In numerous physical models on networks, dynamics are based on interactions that exclusively involve properties of a node's nearest neighbors. However, a node's local view of its neighbors may systematically bias perceptions of network…

Social and Information Networks · Computer Science 2016-12-28 Xin-Zeng Wu , Allon G. Percus , Kristina Lerman

Pervasive socio-technical networks bring new conceptual and technological challenges to developers and users alike. A central research theme is evaluation of the intensity of relations linking users and how they facilitate communication and…

Social and Information Networks · Computer Science 2014-11-04 Pasquale De Meo , Emilio Ferrara , Giacomo Fiumara , Alessandro Provetti

Here, we review the research we have done on social contagion. We describe the methods we have employed (and the assumptions they have entailed) in order to examine several datasets with complementary strengths and weaknesses, including the…

Social and Information Networks · Computer Science 2012-03-14 Nicholas A. Christakis , James H. Fowler

In many real, directed networks, the strongly connected component of nodes which are mutually reachable is very small. This does not fit with current theory, based on random graphs, according to which strong connectivity depends on mean…

Disordered Systems and Neural Networks · Physics 2023-04-12 Niall Rodgers , Peter Tino , Samuel Johnson

As network research becomes more sophisticated, it is more common than ever for researchers to find themselves not studying a single network but needing to analyze sets of networks. An important task when working with sets of networks is…

Social and Information Networks · Computer Science 2019-07-26 James P. Bagrow , Erik M. Bollt

Through several studies, it has been highlighted that mobility patterns in mobile networks are driven by human behaviors. This effect has been particularly observed in intermittently connected networks like DTN (Delay Tolerant Networks).…

Networking and Internet Architecture · Computer Science 2015-03-19 Mohamed-Haykel Zayani , Vincent Gauthier , Ines Slama , Djamal Zeghlache

Relations between users on social media sites often reflect a mixture of positive (friendly) and negative (antagonistic) interactions. In contrast to the bulk of research on social networks that has focused almost exclusively on positive…

Physics and Society · Physics 2010-03-15 Jure Leskovec , Daniel Huttenlocher , Jon Kleinberg

Consider a network of agents that all want to guess the correct value of some ground truth state. In a sequential order, each agent makes its decision using a single private signal which has a constant probability of error, as well as…

Social and Information Networks · Computer Science 2024-10-08 Kevin Lu , Jordan Chong , Matt Lu , Jie Gao

Complex systems are large collections of entities that organize themselves into non-trivial structures that can be represented by networks. A key emergent property of such systems is robustness against random failures or targeted attacks…

Physics and Society · Physics 2021-06-14 Arsham Ghavasieh , Massimo Stella , Jacob Biamonte , Manlio De Domenico

On signed social networks, balanced and unbalanced triangles are a critical motif due to their role as the foundations of Structural Balance Theory. The uses for these motifs have been extensively explored in networks with known edge signs,…

Data Structures and Algorithms · Computer Science 2026-02-17 Alexander Zhou , Haoyang Li , Anxin Tian , Zhiyuan Li , Yue Wang

While recent work has established divergence as a key framework for understanding evenness, there is currently no research exploring how the families of measures within the divergence-based framework relate to each other. This paper uses…

Populations and Evolution · Quantitative Biology 2021-08-03 Kawika Pierson

Measures of association play a role in selecting 2x2 tables exhibiting strong dependence in high-dimensional binary data. Several measures are in use differing on specific tables and in their dependence on the margins. We study a…

Statistics Theory · Mathematics 2013-02-26 Dirk Hasenclever , Markus Scholz

The engagement of each user in a social network is an essential indicator for maintaining a sustainable service. Existing studies use the $coreness$ of a user to well estimate its static engagement in a network. However, when the engagement…

Social and Information Networks · Computer Science 2021-10-26 Qingyuan Linghu , Fan Zhang , Xuemin Lin , Wenjie Zhang , Ying Zhang

Social networks play a key role in studying various individual and social behaviors. To use social networks in a study, their structural properties must be measured. For offline social networks, the conventional procedure is…

Social and Information Networks · Computer Science 2018-12-17 Naghmeh Momeni , Michael G. Rabbat

Many real networks feature the property of nestedness, i.e. the neighbours of nodes with a few connections are hierarchically nested within the neighbours of nodes with more connections. Despite the abstract simplicity of this notion,…

Physics and Society · Physics 2020-12-08 Matteo Bruno , Fabio Saracco , Diego Garlaschelli , Claudio J. Tessone , Guido Caldarelli

In this work we analyze traces of mobility and co-location among a group of nearly 1000 closely interacting individuals. We attempt to reconstruct the Facebook friendship graph, Facebook interaction network, as well as call and SMS networks…

Computers and Society · Computer Science 2018-11-12 Piotr Sapiezynski , Arkadiusz Stopczynski , David Kofoed Wind , Jure Leskovec , Sune Lehmann
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