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Hierarchy and centrality are two popular notions used to characterize the importance of entities in complex systems. Indeed, many complex systems exhibit a natural hierarchical structure, and centrality is a fundamental characteristic…

Social and Information Networks · Computer Science 2021-03-03 Stephany Rajeh , Marinette Savonnet , Eric Leclercq , Hocine Cherifi

Centrality is one of the most fundamental metrics in network science. Despite an abundance of methods for measuring centrality of individual vertices, there are by now only a few metrics to measure centrality of individual edges. We modify…

Physics and Society · Physics 2019-09-25 Timo Bröhl , Klaus Lehnertz

In the article, we describe a new algebraic approach to the temporal network analysis based on the notion of temporal quantities. We define the semiring for computing the foremost journey and the traveling semirings for the analysis of…

Social and Information Networks · Computer Science 2016-03-29 Selena Praprotnik , Vladimir Batagelj

Centrality, in some sense, captures the extent to which a vertex controls the flow of information in a network. Here, we propose Local Detour Centrality as a novel centrality-based betweenness measure that captures the extent to which a…

Social and Information Networks · Computer Science 2022-08-08 Haim Cohen , Yinon Nachshon , Paz M. Naim , Jürgen Jost , Emil Saucan , Anat Maril

Networks are well-established representations of social systems, and temporal networks are widely used to study their dynamics. Temporal network data often consist in a succession of static networks over consecutive time windows whose…

Physics and Society · Physics 2021-09-30 Valeria Gelardi , Didier Le Bail , Alain Barrat , Nicolas Claidière

Betweenness centrality measure assesses the importance of nodes in a graph and has been used in a variety of contexts. Betweenness centrality has also been extended to temporal graphs. Temporal graphs have edges that bear labels according…

Data Structures and Algorithms · Computer Science 2023-06-07 Mehdi Naima , Matthieu Latapy , Clémence Magnien

The concept of temporal networks provides a framework to understand how the interaction between system components changes over time. In empirical communication data, we often detect non-Poissonian, so-called bursty behavior in the activity…

Physics and Society · Physics 2020-04-29 Takayuki Hiraoka , Naoki Masuda , Aming Li , Hang-Hyun Jo

We consider networks in which random walkers are removed because of the failure of specific nodes. We interpret the rate of loss as a measure of the importance of nodes, a notion we denote as failure-centrality. We show that the degree of…

Physics and Society · Physics 2015-08-18 Georgie Knight , Giampaolo Cristadoro , Eduardo G. Altmann

Centrality is an important notion in complex networks; it could be used to characterize how influential a node or an edge is in the network. It plays an important role in several other network analysis tools including community detection.…

Social and Information Networks · Computer Science 2017-03-23 Sambaran Bandyopadhyay , M. Narasimha Murty , Ramasuri Narayanam

Temporal networks come with a wide variety of heterogeneities, from burstiness of event sequences to correlations between timings of node and link activations. In this paper, we set to explore the latter by using greedy walks as probes of…

Physics and Society · Physics 2016-01-20 Jari Saramaki , Petter Holme

We present a principled approach for detecting overlapping temporal community structure in dynamic networks. Our method is based on the following framework: find the overlapping temporal community structure that maximizes a quality function…

Social and Information Networks · Computer Science 2013-03-29 Yudong Chen , Vikas Kawadia , Rahul Urgaonkar

We show that prominent centrality measures in network analysis are all based on additively separable and linear treatments of statistics that capture a node's position in the network. This enables us to provide a taxonomy of centrality…

Physics and Society · Physics 2021-01-25 Francis Bloch , Matthew O. Jackson , Pietro Tebaldi

In most social and information systems the activity of agents generates rapidly evolving time-varying networks. The temporal variation in networks' connectivity patterns and the ongoing dynamic processes are usually coupled in ways that…

Physics and Society · Physics 2014-02-18 Márton Karsai , Nicola Perra , Alessandro Vespignani

Social studies researchers use graphs to model group activities in social networks. An important property in this context is the centrality of a vertex: the inverse of the average distance to each other vertex. We describe a randomized…

Data Structures and Algorithms · Computer Science 2011-03-08 David Eppstein , Joseph Wang

The ever increasing adoption of mobile technologies and ubiquitous services allows to sense human behavior at unprecedented levels of details and scale. Wearable sensors are opening up a new window on human mobility and proximity at the…

Physics and Society · Physics 2015-06-15 Alain Barrat , Ciro Cattuto

Temporal networks are widely used to represent a vast diversity of systems, including in particular social interactions, and the spreading processes unfolding on top of them. The identification of structures playing important roles in such…

Social network analysis tools can infer various attributes just by scrutinizing one's connections. Several researchers have studied the problem faced by an evader whose goal is to strategically rewire their social connections in order to…

Physics and Society · Physics 2021-07-29 Marcin Waniek , Petter Holme , Talal Rahwan

This work deals with the issue of assessing the influence of a node in the entire network and in the subnetwork to which it belongs as well, adapting the classical idea of vertex centrality. We provide a general definition of relative…

Physics and Society · Physics 2019-11-21 Roy Cerqueti , Gian Paolo Clemente , Rosanna Grassi

Human communication, the essence of collective social phenomena ranging from small-scale organizations to worldwide online platforms, features intense reciprocal interactions between members in order to achieve stability, cohesion, and…

The control of complex systems is an ongoing challenge of complexity research. Recent advances using concepts of structural control deduce a wide range of control related properties from the network representation of complex systems. Here,…

Statistical Mechanics · Physics 2013-12-31 Márton Pósfai , Philipp Hövel
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