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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

The network topology and the routing strategy are major factors to affect the traffic dynamics of the network. In this work, we aim to design an optimal time-varying network structure and an efficient route is allocated to each user in the…

Networking and Internet Architecture · Computer Science 2019-09-18 Suchi Kumari , Anurag Singh

We propose a model for the growth of weighted networks that couples the establishment of new edges and vertices and the weights' dynamical evolution. The model is based on a simple weight-driven dynamics and generates networks exhibiting…

Disordered Systems and Neural Networks · Physics 2009-11-10 Alain Barrat , Marc Barthelemy , Alessandro Vespignani

The importance of structured, complex connectivity patterns found in several real-world systems is to a great extent related to their respective effects in constraining and even defining the respective dynamics. Yet, while complex networks…

Tissues and Organs · Quantitative Biology 2008-05-16 Matheus P. Viana , Bruno A. N. Travencolo , E. Tanck , Luciano da F. Costa

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

The role of weight on the weighted networks is investigated by studying the effect of weight on community structures. We use weighted modularity $Q^w$ to evaluate the partitions and Weighted Extremal Optimization algorithm to detect…

Physics and Society · Physics 2015-06-26 Ying Fan , Menghui Li , Peng Zhang , Jinshan Wu , Zengru Di

Systems which consist of many localized constituents interacting with each other can be represented by complex networks. Consistently, network science has become highly popular in vast fields focusing on natural, artificial and social…

Statistical Mechanics · Physics 2022-06-29 Rute Oliveira , Samuraí Brito , Luciano R. da Silva , Constantino Tsallis

With an increasing emphasis on network security, much more attention has been attracted to the vulnerability of complex networks. The multi-scale evaluation of vulnerability is widely used since it makes use of combined powers of the links'…

Social and Information Networks · Computer Science 2014-06-03 Li Gou , Bo Wei , Rehan Sadiq , Sankaran Mahadevan , Yong Deng

Recent studies have shown that Graph Convolutional Networks (GCNs) are vulnerable to adversarial attacks on the graph structure. Although multiple works have been proposed to improve their robustness against such structural adversarial…

Machine Learning · Computer Science 2021-09-14 Liang Chen , Jintang Li , Qibiao Peng , Yang Liu , Zibin Zheng , Carl Yang

Street networks are important infrastructural transportation systems that cover a great part of the planet. It is now widely accepted that transportation properties of street networks are better understood in the interplay between the…

Physics and Society · Physics 2016-03-23 A. Paolo Masucci , Carlos Molinero

Networks are useful descriptions of the structure of many complex systems. Unsurprisingly, it is thus important to analyze the robustness of networks in many scientific disciplines. In applications in communication, logistics, finance,…

Physics and Society · Physics 2024-09-16 Alice C. Schwarze , Jessica Jiang , Jonny Wray , Mason A. Porter

Many systems in nature, society and technology can be described as networks, where the vertices are the system's elements and edges between vertices indicate the interactions between the corresponding elements. Edges may be weighted if the…

Physics and Society · Physics 2011-04-18 Filippo Radicchi , José J. Ramasco , Santo Fortunato

Complex networks are made up of vertices and edges. The edges, which may be directed or undirected, are equipped with positive weights. Modeling complex systems that consist of different types of objects leads to multilayer networks, in…

Numerical Analysis · Mathematics 2024-09-10 Silvia Noschese , Lothar Reichel

Resilient intermodal freight networks are vital for sustaining supply chains amid increasing threats from natural hazards and cyberattacks. While transportation resilience has been widely studied, understanding how random and targeted…

Physics and Society · Physics 2026-01-06 Aliza Sharmin , Bharat Sharma , Mustafa Can Camur , Olufemi A. Omitaomu , Xueping Li

Many transport processes on networks depend crucially on the underlying network geometry, although the exact relationship between the structure of the network and the properties of transport processes remain elusive. In this paper we…

Physics and Society · Physics 2015-06-26 Bosiljka Tadic , G. J. Rodgers , Stefan Thurner

Terrorism instills fear in the minds of people and takes away the freedom of individuals to act as they will. Terrorism has turned out to be an international menace today. Here, we study the terrorist attack incidents which occurred in the…

Physics and Society · Physics 2019-10-22 Syed Shariq Husain , Kiran Sharma , Vishwas Kukreti , Anirban Chakraborti

We consider a class of random, weighted networks, obtained through a redefinition of patterns in an Hopfield-like model and, by performing percolation processes, we get information about topology and resilience properties of the networks…

Statistical Mechanics · Physics 2015-05-30 Elena Agliari , Claudia Cioli , Enore Guadagnini

It is discussed how the worldwide tourist arrivals, about 10% of world's domestic product, form a largely heterogeneous and directed complex network. Remarkably the random network of connectivity is converted into a scale-free network of…

Physics and Society · Physics 2009-11-13 J. I. L. Miguens , J. F. F. Mendes

Trade networks, across which countries distribute their products, are crucial components of the globalized world economy. Their structure is strongly heterogeneous across products, given the different features of the countries which buy and…

Physics and Society · Physics 2019-01-09 Carlo Piccardi , Lucia Tajoli

When network and graph theory are used in the study of complex systems, a typically finite set of nodes of the network under consideration is frequently either explicitly or implicitly considered representative of a much larger finite or…

Data Analysis, Statistics and Probability · Physics 2015-03-18 Jobst Heitzig , Jonathan F. Donges , Yong Zou , Norbert Marwan , Jürgen Kurths