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Transit operators need vulnerability measures to understand the level of service degradation under disruptions. This paper contributes to the literature with a novel causal inference approach for estimating station-level vulnerability in…

Applications · Statistics 2020-11-24 Nan Zhang , Daniel J. Graham , Daniel Hörcher , Prateek Bansal

Analyzing networks requires complex algorithms to extract meaningful information. Centrality metrics have shown to be correlated with the importance and loads of the nodes in network traffic. Here, we are interested in the problem of…

Data Structures and Algorithms · Computer Science 2013-03-05 Ahmet Erdem Sariyuce , Kamer Kaya , Erik Saule , Umit V. Catalyurek

Recent research on temporal networks has highlighted the limitations of a static network perspective for our understanding of complex systems with dynamic topologies. In particular, recent works have shown that i) the specific order in…

Physics and Society · Physics 2017-11-20 Ingo Scholtes , Nicolas Wider , Antonios Garas

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

In complex systems, external parameters often determine the phase in which the system operates, i.e., its macroscopic behavior. For nearly a century, statistical physics has extensively studied systems' transitions across phases,…

The analysis of temporal networks heavily depends on the analysis of time-respecting paths. However, before being able to model and analyze the time-respecting paths, we have to infer the timescales at which the temporal edges influence…

Physics and Society · Physics 2023-01-30 Luka V. Petrović , Anatol Wegner , Ingo Scholtes

The analysis of the dynamics of delays propagation is one of the major topics inside Air Transport Management research. Delays are generated by the elements of the system, but their propagation is a global process fostered by relationships…

Physics and Society · Physics 2016-11-03 Seddik Belkoura , Massimiliano Zanin

The central points of communication network flow has often been identified using graph theoretical centrality measures. In real networks, the state of traffic density arises from an interplay between the dynamics of the flow and the…

Disordered Systems and Neural Networks · Physics 2007-05-23 Petter Holme

Complex networks are the subject of fundamental interest from the scientific community at large. Several metrics have been introduced to characterize the structure of these networks, such as the degree distribution, degree correlation, path…

Physics and Society · Physics 2019-01-14 Francesco Sorrentino , Abu Bakar Siddique , Louis M. Pecora

Methods for efficiently controlling dynamics propagated on networks are usually based on identifying the most influential nodes. Knowledge of these nodes can be used for the targeted control of dynamics such as epidemics, or for modifying…

Physics and Society · Physics 2017-11-07 Kieran J. Sharkey

Typing Yesterday into the search-bar of your browser provides a long list of websites with, in top places, a link to a video by The Beatles. The order your browser shows its search results is a notable example of the use of network…

Applications · Statistics 2018-10-17 Carla Sciarra , Guido Chiarotti , Francesco Laio , Luca Ridolfi

The identification of the most influential spreaders in networks is important to control and understand the spreading capabilities of the system as well as to ensure an efficient information diffusion such as in rumor-like dynamics. Recent…

Understanding the importance of links in transmitting information in a network can provide ways to hinder or postpone ongoing dynamical phenomena like the spreading of epidemic or the diffusion of information. In this work, we propose a new…

Social and Information Networks · Computer Science 2018-02-16 Qian Zhang , Márton Karsai , Alessandro Vespignani

In complex networks, centrality metrics quantify the connectivity of nodes and identify the most important ones in the transmission of signals. In many real world networks, especially in transportation systems, links are dynamic, i.e. their…

Physics and Society · Physics 2019-03-08 Silvia Zaoli , Piero Mazzarisi , Fabrizio Lillo

This paper introduces a novel framework that combines traditional centrality measures with eigenvalue spectra and diffusion processes for a more comprehensive analysis of complex networks. While centrality measures such as degree,…

Other Computer Science · Computer Science 2025-03-28 Arsh Jha

Analysis of network dynamics became a focal point to understand and predict changes of complex systems. Here we introduce Turbine, a generic framework enabling fast simulation of any algorithmically definable dynamics on very large…

Molecular Networks · Quantitative Biology 2013-10-28 Kristof Z. Szalay , Peter Csermely

The non-trivial structure of such complex systems makes the analysis of their collective behavior a challenge. The problem is even more difficult when the information is distributed across networks (e.g., communication networks in different…

Social and Information Networks · Computer Science 2018-02-08 Carlo Spatocco , Giovanni Stilo , Carlotta Domeniconi , Alessandro D'Andrea

Finding the important nodes in complex networks by topological structure is of great significance to network invulnerability. Several centrality measures have been proposed recently to evaluate the performance of nodes based on their…

Social and Information Networks · Computer Science 2021-02-23 Pengli Lu , Chen Dong , Yuhong Guo

We propose the Temporal Walk Centrality, which quantifies the importance of a node by measuring its ability to obtain and distribute information in a temporal network. In contrast to the widely-used betweenness centrality, we assume that…

Social and Information Networks · Computer Science 2022-02-09 Lutz Oettershagen , Petra Mutzel , Nils M. Kriege

The identification of nodes occupying important positions in a network structure is crucial for the understanding of the associated real-world system. Usually, betweenness centrality is used to evaluate a node capacity to connect different…