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Links in most real networks often change over time. Such temporality of links encodes the ordering and causality of interactions between nodes and has a profound effect on network dynamics and function. Empirical evidences have shown that…

Social and Information Networks · Computer Science 2020-07-10 Disheng Tang , Wenbo Du , Louis Shekhtman , Yijie Wang , Shlomo Havlin , Xianbin Cao , Gang Yan

We show that weighted path orders are special instances of a variant of semantic path orders. Exploiting this fact, we introduce a generalization of weighted path orders that goes beyond the realm of simple termination. Experimental data…

Logic in Computer Science · Computer Science 2023-07-27 Teppei Saito , Nao Hirokawa

In this paper we present an empirical study of the worldwide maritime transportation network (WMN) in which the nodes are ports and links are container liners connecting the ports. Using the different representation of network topology…

Physics and Society · Physics 2009-11-13 Yihong Hu , Daoli Zhu

Temporal networks, i.e., networks in which the interactions among a set of elementary units change over time, can be modelled in terms of time-varying graphs, which are time-ordered sequences of graphs over a set of nodes. In such graphs,…

Physics and Society · Physics 2013-06-04 Vincenzo Nicosia , John Tang , Cecilia Mascolo , Mirco Musolesi , Giovanni Russo , Vito Latora

Identification of influential nodes is an important step in understanding and controlling the dynamics of information, traffic and spreading processes in networks. As a result, a number of centrality measures have been proposed and used…

Social and Information Networks · Computer Science 2019-10-23 Hayato Ushijima-Mwesigwa , Zadid Khan , Mashrur A. Chowdhury , Ilya Safro

Modern computer networks support interesting new routing models in which traffic flows from a source s to a destination t can be flexibly steered through a sequence of waypoints, such as (hardware) middleboxes or (virtualized) network…

Networking and Internet Architecture · Computer Science 2017-09-04 Saeed Akhoondian Amiri , Klaus-Tycho Foerster , Riko Jacob , Stefan Schmid

The times of temporal-network events and their correlations contain information on the function of the network and they influence dynamical processes taking place on it. To extract information out of correlated event times, techniques such…

Physics and Society · Physics 2019-12-10 Jari Saramäki , Mikko Kivelä , Márton Karsai

A graphical model provides a compact and efficient representation of the association structure of a multivariate distribution by means of a graph. Relevant features of the distribution are represented by vertices, edges and other…

Statistics Theory · Mathematics 2020-09-03 Alberto Roverato , Robert Castelo

We present a comparative study of the application of a recently introduced heuristic algorithm to the optimization of transport on three major types of complex networks. The algorithm balances network traffic iteratively by minimizing the…

Disordered Systems and Neural Networks · Physics 2007-07-12 Bogdan Danila , Yong Yu , John A. Marsh , Kevin E. Bassler

Networks constitute efficient tools for assessing universal features of complex systems. In physical contexts, classical as well as quantum, networks are used to describe a wide range of phenomena, such as phase transitions, intricate…

Quantum Physics · Physics 2016-01-22 Jaroslav Novotný , Gernot Alber , Igor Jex

Networked structures arise in a wide array of different contexts such as technological and transportation infrastructures, social phenomena, and biological systems. These highly interconnected systems have recently been the focus of a great…

Statistical Mechanics · Physics 2009-11-10 Alain Barrat , Marc Barthelemy , Romualdo Pastor-Satorras , Alessandro Vespignani

Betweenness centrality has been extensively studied since its introduction in 1977 as a measure of node importance in graphs. This measure has found use in various applications and has been extended to temporal graphs with time-labeled…

Data Structures and Algorithms · Computer Science 2024-02-13 Mehdi Naima

Betweenness centrality lies at the core of both transport and structural vulnerability properties of complex networks, however, it is computationally costly, and its measurement for networks with millions of nodes is near impossible. By…

Physics and Society · Physics 2015-05-18 Maria Ercsey-Ravasz , Zoltan Toroczkai

Topological metrics of graphs provide a natural way to describe the prominent features of various types of networks. Graph metrics describe the structure and interplay of graph edges and have found applications in many scientific fields. In…

Data Structures and Algorithms · Computer Science 2018-06-21 Loukianos Spyrou , Javier Escudero

Air transport is a key infrastructure of modern societies. In this paper we review some recent approaches to air transport, which make extensive use of theory of complex networks. We discuss possible networks that can be defined for the air…

Physics and Society · Physics 2015-06-15 Massimiliano Zanin , Fabrizio Lillo

In this paper, we present an overview of different types of random walk strategies with local and non-local transitions on undirected connected networks. We present a general approach to analyzing these strategies by defining the dynamics…

Statistical Mechanics · Physics 2020-07-08 A. P. Riascos , José L. Mateos

The betweenness centrality (BC) of a node in a network (or graph) is a measure of its importance in the network. BC is widely used in a large number of environments such as social networks, transport networks, security/mobile networks and…

Data Structures and Algorithms · Computer Science 2019-02-06 Matteo Pontecorvi , Vijaya Ramachandran

Optimal transportation distances are valuable for comparing and analyzing probability distributions, but larger-scale computational techniques for the theoretically favorable quadratic case are limited to smooth domains or regularized…

Other Computer Science · Computer Science 2016-03-23 Justin Solomon , Raif Rustamov , Leonidas Guibas , Adrian Butscher

Directions and paths, as commonly provided by navigation systems, are usually derived considering absolute metrics, e.g., finding the shortest path within an underlying road network. With the aid of crowdsourced geospatial data we aim at…

Optimizing paths on networks is crucial for many applications, from subway traffic to Internet communication. As global path optimization that takes account of all path-choices simultaneously is computationally hard, most existing routing…

Physics and Society · Physics 2013-09-05 Chi Ho Yeung , David Saad , K. Y. Michael Wong